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Journal Papers

 Dong J and Yang G-H (2015), "Reliable State Feedback Control of T-S Fuzzy Systems with Sensor Faults", IEEE Transactions on Fuzzy Systems. Vol. 23(2), pp. 421-433. [BibTeX] [DOI] [PDF] BibTeX: @article{Dong_J2014Reliable, author = {J. Dong and G.-H. Yang}, title = {Reliable State Feedback Control of T-S Fuzzy Systems with Sensor Faults}, journal = {IEEE Transactions on Fuzzy Systems}, year = {2015}, volume = {23}, number = {2}, pages = {421-433}, url = {Dong_J2014Reliable.pdf}, doi = {10.1109/TFUZZ.2014.2315298} }  Dong J and Yang G-H (2013), "Robust static output feedback control synthesis for linear continuous systems with polytopic uncertainties", Automatica. Vol. 49(6), pp. 1821-1829. [Abstract] [BibTeX] [DOI] [PDF] Abstract: This paper studies the static output feedback (SOF) control problem of continuous-time linear systems with polytopic uncertainties. Novel LMI conditions with a line search over a scalar variable for designing robust SOF controllers are proposed, where the uncertain output matrix of the considered system is allowed to be not of full row rank. In particular, it is shown that the new method can give less or at least the same conservative results than those methods by inserting a matrix equality constraint between system output matrix and Lyapunov matrix. Furthermore, the result is extended to the case of H ¡Þ control. Numerical examples are given to illustrate the effectiveness of the proposed method. BibTeX: @article{Dong_J2013, author = {Dong, Jiuxiang and Yang, Guang-Hong}, title = {Robust static output feedback control synthesis for linear continuous systems with polytopic uncertainties}, journal = {Automatica}, year = {2013}, volume = {49}, number = {6}, pages = {1821--1829}, url = {Dong_J2013.pdf}, doi = {10.1016/j.automatica.2013.02.047} }  Dong J, Wang Y and Yang G-H (2011), "H¡Þ and mixed  H2/H¡Þ  control of discrete-time T-S fuzzy systems with local nonlinear models", Fuzzy Sets and Systems. Vol. 164(1), pp. 1-24. [Abstract] [BibTeX] [DOI] [PDF] Abstract: Abstract This paper addresses the H[infinity] and mixed H2/H[infinity] control synthesis problems of nonlinear discrete-time systems, which are represented by a new type of T-S fuzzy models. The fuzzy systems consist of local nonlinear models and are with fewer fuzzy rules than the conventional T-S fuzzy systems with local linear models. A fuzzy control scheme with local nonlinear feedbacks is proposed and H[infinity] and mixed H2/H[infinity] control synthesis conditions are given in terms of solutions to a set of linear matrix inequalities (LMIs). In contrast to the existing conditions for designing fuzzy controllers, the new ones can be used to design fuzzy controllers based on fewer control rules as well as are with less computational burden. In particular, the new methods can also give less conservative results. A numerical example is given to illustrate the effectiveness of the proposed methods. BibTeX: @article{Dong_J_X11, author = {Dong, Jiuxiang and Wang, Youyi and Yang, Guang-Hong}, title = {$H_\infty$ and mixed $H_2/H_\infty$ control of discrete-time T-S fuzzy systems with local nonlinear models}, journal = {Fuzzy Sets and Systems}, year = {2011}, volume = {164}, number = {1}, pages = {1-24}, url = {Dong_J_X11.pdf}, doi = {10.1016/j.fss.2010.09.014} }  Dong J, Wang Y and Yang G-H (2010), "Output feedback fuzzy controller design with local nonlinear feedback laws for discrete-time nonlinear systems", IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics. Vol. 40(6), pp. 1447-1459. [Abstract] [BibTeX] [DOI] [PDF] Abstract: This paper considers the output feedback control problem for nonlinear discrete-time systems, which are represented by a type of fuzzy systems with local nonlinear models. By using the estimations of the states and nonlinear functions in local models, sufficient conditions for designing observer-based controllers are given for discrete-time nonlinear systems. First, a separation property, i.e., the controller and the observer can be independently designed, is proved for the class of fuzzy systems. Second, a two-step procedure with cone complementarity linearization algorithms is also developed for solving the H[infinity]; dynamic output feedback (DOF) control problem. Moreover, for the case where the nonlinear functions in local submodels are measurable, a convex condition for designing H[infinity]; controllers is given by a new DOF control scheme. In contrast to the existing methods, the new methods can design output feedback controllers with fewer fuzzy rules as well as less computational burden, which is helpful for controller designs and implementations. Lastly, numerical examples are given to illustrate the effectiveness of the proposed methods. BibTeX: @article{Dong_J_X10, author = {Dong, Jiuxiang and Wang, Youyi and Yang, Guang-Hong}, title = {Output feedback fuzzy controller design with local nonlinear feedback laws for discrete-time nonlinear systems}, journal = {IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics}, year = {2010}, volume = {40}, number = {6}, pages = {1447-1459}, url = {Dong_J_X10.pdf}, doi = {10.1109/TSMCB.2009.2039642} }  Dong J, Wang Y and Yang G-H (2009), "Control synthesis of continuous-time T-S fuzzy systems with local nonlinear models", IEEE Transactions on Systems Man and Cybernetics Part B-Cybernetics. Vol. 39(5), pp. 1245-1258. [Abstract] [BibTeX] [DOI] [PDF] Abstract: This paper is concerned with the problem of designing fuzzy controllers for a class of nonlinear dynamic systems. The considered nonlinear systems are described by T-S fuzzy models with nonlinear local models, and the fuzzy models have fewer fuzzy rules than conventional T-S fuzzy models with local linear models. A new fuzzy control scheme with local nonlinear feedbacks is proposed, and the corresponding control synthesis conditions are given in terms of solutions to a set of linear matrix inequalities (LMIs). In contrast to the existing methods for fuzzy control synthesis, the new proposed control design method is based on fewer fuzzy rules and less computational burden. Moreover, the local nonlinear feedback laws in the new fuzzy controllers are also helpful in achieving good control effects. Numerical examples are given to illustrate the effectiveness of the proposed method. BibTeX: @article{Dong_JSMCB, author = {Dong, J. and Wang, Y. and Yang, G.-H.}, title = {Control synthesis of continuous-time T-S fuzzy systems with local nonlinear models}, journal = {IEEE Transactions on Systems Man and Cybernetics Part B-Cybernetics}, year = {2009}, volume = {39}, number = {5}, pages = {1245-1258}, url = {Dong_JSMCB.pdf}, doi = {10.1109/TSMCB.2009.2014961} }  Dong J and Yang GH (2011), "Control Synthesis of T-S Fuzzy Systems Based on a New Control Scheme", IEEE Transactions on Fuzzy Systems. Vol. 19(2), pp. 323-338. [Abstract] [BibTeX] [DOI] [PDF] Abstract: This paper studies the control synthesis problem of Takagi–Sugeno (T--S) fuzzy systems. By splitting the premise variable spaces and using the properties of fuzzy sets, a new control scheme is proposed based on a new class of fuzzy Lyapunov functions, and a convex condition for designing fuzzy controllers is given, where the new fuzzy Lyapunov functions and fuzzy controllers are constructed based on the split subspaces. In particular, some existing fuzzy Lyapunov functions and control schemes are special cases of the new Lyapunov function and control scheme, respectively. Numerical examples are given to illustrate the effectiveness of the proposed method. BibTeX: @article{Dong_J11, author = {Dong, J. and Yang, G. H.}, title = {Control Synthesis of T-S Fuzzy Systems Based on a New Control Scheme}, journal = {IEEE Transactions on Fuzzy Systems}, year = {2011}, volume = {19}, number = {2}, pages = {323-338}, url = {Dong_J11.pdf}, doi = {10.1109/TFUZZ.2010.2096470} }  Dong J and Yang G-H (2009), "Static output feedback H¡Þ control of a class of nonlinear discrete-time systems", Fuzzy Sets and Systems. Vol. 160(19), pp. 2844-2859. [Abstract] [BibTeX] [DOI] [PDF] Abstract: This paper is concerned with the problem of designing robust H[infinity] static output feedback (SOF) controllers for a class of discrete time nonlinear systems, which are represented by T-S fuzzy models. By considering the properties of system output matrices, a method for H[infinity] SOF control synthesis is developed in terms of solutions to a set of linear matrix inequalities (LMIs). In contrast to the existing techniques for designing SOF controllers, the new proposed method can give less conservative results by removing the constraint that the considered Lyapunov matrix is diagonal. Numerical examples are given to illustrate the effectiveness of the proposed design method. BibTeX: @article{Dong_J09a, author = {Dong, Jiuxiang and Yang, Guang-Hong}, title = {Static output feedback $H_\infty$ control of a class of nonlinear discrete-time systems}, journal = {Fuzzy Sets and Systems}, year = {2009}, volume = {160}, number = {19}, pages = {2844-2859}, note = {doi: DOI: 10.1016/j.fss.2008.11.025}, url = {Dong_J09a.pdf}, doi = {10.1016/j.fss.2008.11.025} }  Dong J and Yang G-H (2009), "H¡Þ controller synthesis via switched PDC scheme for discrete-time T-S fuzzy systems", IEEE Transactions on Fuzzy Systems. Vol. 17(3), pp. 544-555. [BibTeX] [DOI] [PDF] BibTeX: @article{Dong_J09FS, author = {Dong, J. and Yang, G.-H.}, title = {$H_\infty$ controller synthesis via switched PDC scheme for discrete-time T-S fuzzy systems}, journal = {IEEE Transactions on Fuzzy Systems}, year = {2009}, volume = {17}, number = {3}, pages = {544-555}, url = {Dong_J09FS.pdf}, doi = {10.1109/TFUZZ.2008.924328} }  Dong J and Yang G-H (2009), "Dynamic output feedback H¡Þ control synthesis for discrete-time T-S fuzzy systems via switching fuzzy controllers", Fuzzy Sets and Systems. Vol. 160(4), pp. 482-499. [Abstract] [BibTeX] [DOI] [PDF] Abstract: This paper studies the problem of dynamic output feedback H[infinity] control of discrete-time Takagi-Sugeno (T-S) fuzzy systems via a switched dynamic parallel distributed compensation (DPDC) scheme. The considered switched DPDC control structure is determined based on the values of membership functions. Some new properties of membership functions are obtained, and exploited to derive sufficient conditions for designing switching DPDC controllers that guarantee the stability and H[infinity] performances of closed-loop nonlinear systems. The design conditions are given in terms of solvability of a set of linear matrix inequalities (LMIs). It is shown that the new approach provides results at least as good as the corresponding DPDC methods. A numerical example is given to illustrate the effectiveness of the proposed approach. BibTeX: @article{Dong_J09h, author = {Dong, Jiuxiang and Yang, Guang-Hong}, title = {Dynamic output feedback $H_\infty$ control synthesis for discrete-time T-S fuzzy systems via switching fuzzy controllers}, journal = {Fuzzy Sets and Systems}, year = {2009}, volume = {160}, number = {4}, pages = {482-499}, url = {Dong_J09h.pdf}, doi = {10.1016/j.fss.2008.04.009} }  Dong J and Yang G-H (2009), "$H¡Þ control design for fuzzy discrete-time singularly perturbed systems via slow state variables feedback: An LMI-based approach", Information Sciences. Vol. 179(17), pp. 3041-3058. [Abstract] [BibTeX] [DOI] [PDF] Abstract: This paper addresses the H[infinity] control problem via slow state variables feedback for discrete-time fuzzy singularly perturbed systems. At first, a method of evaluating the upper bound of singular perturbation parameter [epsilon] with meeting a prescribed H[infinity] performance bound requirement is given. Subsequently, two methods for designing H[infinity] controllers via slow state variables feedback are presented in terms of solutions to a set of linear matrix inequalities (LMIs). In particular, one of them can be used to improve the upper bound of the singular perturbation parameter [epsilon]. Finally, two numerical examples are given to illustrate the effectiveness of the proposed methods. BibTeX: @article{Dong_J2009i, author = {Dong, Jiuxiang and Yang, Guang-Hong}, title = {$H_\infty$control design for fuzzy discrete-time singularly perturbed systems via slow state variables feedback: An LMI-based approach}, journal = {Information Sciences}, year = {2009}, volume = {179}, number = {17}, pages = {3041-3058}, url = {Dong_J09i.pdf}, doi = {10.1016/j.ins.2009.03.012} }  Dong J and Yang G-H (2008), "H¡Þ control for fast sampling discrete-time singularly perturbed systems", Automatica. Vol. 44(5), pp. 1385-1393. [BibTeX] [DOI] [PDF] BibTeX: @article{Dong_J08a, author = {Dong, J. and Yang, G.-H.}, title = {$H_\infty$control for fast sampling discrete-time singularly perturbed systems}, journal = {Automatica}, year = {2008}, volume = {44}, number = {5}, pages = {1385-1393}, url = {Dong_J08a.pdf}, doi = {10.1016/j.automatica.2007.10.010} }  Dong J and Yang G-H (2008), "Robust static output feedback control for linear discrete-time systems with time-varying uncertainties", Systems & Control Letters. Vol. 57(2), pp. 123-131. [Abstract] [BibTeX] [DOI] [PDF] Abstract: This paper is concerned with the problem of designing robust static output feedback controllers for linear discrete-time systems with time-varying polytopic uncertainties. Sufficient conditions for robust static output feedback stabilizing controller designs are given in terms of solutions to a set of linear matrix inequalities, and the results are extended to H2 and H[infinity] static output feedback controller designs. Numerical examples are given to illustrate the effectiveness of the proposed design methods. BibTeX: @article{Dong_J08ab, author = {Dong, Jiuxiang and Yang, Guang-Hong}, title = {Robust static output feedback control for linear discrete-time systems with time-varying uncertainties}, journal = {Systems & Control Letters}, year = {2008}, volume = {57}, number = {2}, pages = {123-131}, url = {Dong_J08ab.pdf}, doi = {10.1016/j.sysconle.2007.08.001} }  Dong J and Yang G-H (2008), "State feedback control of continuous-time T-S fuzzy systems via switched fuzzy controllers", Information Sciences. Vol. 178(6), pp. 1680-1695. [Abstract] [BibTeX] [DOI] [PDF] Abstract: This paper studies the problem of state feedback control of continuous-time T-S fuzzy systems. Switched fuzzy controllers are exploited in the control design, which are switched based on the values of membership functions, and the control scheme is an extension of the parallel distributed compensation (PDC) scheme. Sufficient conditions for designing switched state feedback controllers are obtained with meeting an H[infinity] norm bound requirement and quadratic stability constraints. It is shown that the new control design method provides less conservative results than the corresponding ones via the parallel distributed compensation (PDC) scheme. A numerical example is given to illustrate the effectiveness of the proposed method. BibTeX: @article{Dong_J08b, author = {Dong, Jiuxiang and Yang, Guang-Hong}, title = {State feedback control of continuous-time T-S fuzzy systems via switched fuzzy controllers}, journal = {Information Sciences}, year = {2008}, volume = {178}, number = {6}, pages = {1680-1695}, url = {Dong_J08b.pdf}, doi = {10.1016/j.ins.2007.11.002} }  Dong J and Yang G-H (2008), "Robust H2 control of continuous-time Markov jump linear systems", Automatica. Vol. 44, pp. 1431-1436. [BibTeX] [DOI] [PDF] BibTeX: @article{Dong_J08bb, author = {Dong, J. and Yang, G.-H.}, title = {Robust$H_2$control of continuous-time Markov jump linear systems}, journal = {Automatica}, year = {2008}, volume = {44}, pages = {1431-1436}, url = {Dong_J08bb.pdf}, doi = {10.1016/j.automatica.2007.09.015} }  Dong J and Yang G-H (2008), "Dynamic output feedback control synthesis for continuous-time T-S fuzzy systems via a switched fuzzy control scheme", IEEE Transactions on Systems Man and Cybernetics Part B-Cybernetics. Vol. 38(4), pp. 1166-1175. [Abstract] [BibTeX] [DOI] [PDF] Abstract: This correspondence paper is concerned with the problem of designing switched dynamic output feedback H. controllers for continuous-time Takagi-Sugeno (T-S) fuzzy systems. A new type of dynamic output feedback controllers, namely, switched dynamic parallel distributed compensation (SDPDC) controllers, is proposed, which are switched by basing on the, values of membership functions. A new method for designing SDPDC controllers for guaranteeing stabilities and H-infinity. performances of closed-loop nonlinear systems is presented, where the design conditions are given in terms of the solvability of a set of linear matrix inequalities. It is shown that the new method provides better or at least the same results of the existing design methods via a pure DPDC scheme. A numerical example is given to illustrate the effectiveness of the proposed method. BibTeX: @article{Dong_J08m, author = {Dong, J. and Yang, G.-H.}, title = {Dynamic output feedback control synthesis for continuous-time T-S fuzzy systems via a switched fuzzy control scheme}, journal = {IEEE Transactions on Systems Man and Cybernetics Part B-Cybernetics}, year = {2008}, volume = {38}, number = {4}, pages = {1166-1175}, url = {Dong_J08m.pdf}, doi = {10.1109/TSMCB.2008.923530} }  Dong J and Yang G-H (2007), "Static output feedback control synthesis for discrete-time T-S fuzzy systems", International Journal of Control Automation and Systems. Vol. 5(3), pp. 349-354. [Abstract] [BibTeX] [PDF] Abstract: This paper considers the problem of designing static output feedback controllers for nonlinear systems represented by Takagi-Sugeno (T-S) fuzzy models. Based on linear matrix inequality technique, a new method is developed for designing fuzzy stabilizing controllers via static output feedback. Furthermore, the result is also extended to H-infinity control. Examples are given to illustrate the effectiveness of the proposed methods. BibTeX: @article{Dong_J07, author = {Dong, J. and Yang, G.-H.}, title = {Static output feedback control synthesis for discrete-time T-S fuzzy systems}, journal = {International Journal of Control Automation and Systems}, year = {2007}, volume = {5}, number = {3}, pages = {349-354}, url = {Dong_J07.pdf} }  Dong J and Yang G-H (2007), "Robust H¡Þ control for standard discrete-time singularly perturbed systems", IET Control Theory & Applications. Vol. 1(4), pp. 1141-1148. [Abstract] [BibTeX] [DOI] [PDF] Abstract: The state feedback H_ifnty control problem for standard discrete-time singularly perturbed systems with polytopic uncertainties is considered. Two methods for designing H_infty controllers are given in terms of solutions to a set of linear matrix inequalities, where one of them is with the consideration of improving the upper bound of singular perturbation parameter e . Moreover, a method of evaluating the upper bound of singular perturbation parameter e with meeting a prescribed H_infty performance bound requirement is also given. Numerical examples are given to illustrate the effectiveness of the proposed methods. BibTeX: @article{Dong_J07b, author = {Dong, J. and Yang, G.-H.}, title = {Robust$H_\infty$control for standard discrete-time singularly perturbed systems}, journal = {IET Control Theory & Applications}, year = {2007}, volume = {1}, number = {4}, pages = {1141-1148}, url = {Dong_J07b.pdf}, doi = {10.1049/iet-cta:20060234} }  Dong J and Yang G-H (2007), "Static output feedback control synthesis for linear systems with time-invariant parametric uncertainties", IEEE Transactions on Automatic Control. Vol. 52(10), pp. 1930-1936. [Abstract] [BibTeX] [DOI] [PDF] Abstract: This technical note is concerned with the problem of designing robust static output feedback controllers for linear discrete and continuous-time systems with time-invariant polytopic uncertainties. Sufficient conditions for static output feedback stabilizing controller designs are given in terms of solutions to a set of linear matrix inequalities. Furthermore, the results are also extended to$H_2$static output feedback controller designs. Numerical examples are given to illustrate the effectiveness of the proposed design methods. BibTeX: @article{Dong_J07h, author = {Dong, J. and Yang, G.-H.}, title = {Static output feedback control synthesis for linear systems with time-invariant parametric uncertainties}, journal = {IEEE Transactions on Automatic Control}, year = {2007}, volume = {52}, number = {10}, pages = {1930-1936}, url = {Dong_J07h.pdf}, doi = {10.1109/TAC.2007.906227} }  Dong J and Yang G-H (2007), "Fuzzy controller design for Markovian jump nonlinear systems", International Journal of Control, Automation, and Systems. Vol. 5(6), pp. 712-717. [BibTeX] [PDF] BibTeX: @article{Dong_Jn, author = {Dong, J. and Yang, G.-H.}, title = {Fuzzy controller design for Markovian jump nonlinear systems}, journal = {International Journal of Control, Automation, and Systems}, year = {2007}, volume = {5}, number = {6}, pages = {712-717}, url = {Dong_Jn.pdf} }  Yang GH and Dong J (2010), "Switching fuzzy dynamic output feedback H¡Þ control for nonlinear systems", IEEE Transactions on Systems Man and Cybernetics Part B-Cybernetics. Vol. 40(2), pp. 505-516 . [BibTeX] [DOI] [PDF] BibTeX: @article{Yang_G_H09b, author = {Yang, G. H. and Dong, J.}, title = {Switching fuzzy dynamic output feedback$H_\infty$control for nonlinear systems}, journal = {IEEE Transactions on Systems Man and Cybernetics Part B-Cybernetics}, year = {2010}, volume = {40}, number = {2}, pages = {505-516 }, url = {Yang_G_H09b.pdf}, doi = {10.1109/TSMCB.2009.2028079} }  Yang G-H and Dong J (2008), "Robust stability of polytopic systems via affine parameter-dependent Lyapunov functions", SIAM Journal on Control and Optimization. Vol. 47(5), pp. 2642-2662. [BibTeX] [DOI] [PDF] BibTeX: @article{Yang_G_H_SIAM, author = {Yang, G.-H. and Dong, J.}, title = {Robust stability of polytopic systems via affine parameter-dependent Lyapunov functions}, journal = {SIAM Journal on Control and Optimization}, year = {2008}, volume = {47}, number = {5}, pages = {2642-2662}, url = {Yang_G_H_SIAM.pdf}, doi = {10.1137/060668948} }  Yang G-H and Dong J (2008), "Control synthesis of singularly perturbed fuzzy systems", IEEE Transactions on Fuzzy Systems. Vol. 16(3), pp. 615-629. [Abstract] [BibTeX] [DOI] [PDF] Abstract: This paper considers the problem of designing stabilizing and H-infinity controllers for nonlinear singularly perturbed systems described by Takagi-Sugeno fuzzy models with the consideration of the bound of singular perturbation parameter epsilon. For the synthesis problem of simultaneously designing the bound of epsilon and stabilizing or H-infinity controllers, linear matrix inequalities (LMI)-based methods are presented. For evaluating the upper bound of epsilon subject to stability or a prescribed H-infinity performance bound constraint for the resulting closed-loop system, sufficient conditions are developed, respectively. For the stabilizing and H-infinity control synthesis without the consideration of improving the bound of epsilon new design methods are also given in terms of solutions to a set of LMIs. Examples are given to illustrate the efficiency of the proposed methods. BibTeX: @article{Yang_G_H08, author = {Yang, G.-H. and Dong, J.}, title = {Control synthesis of singularly perturbed fuzzy systems}, journal = {IEEE Transactions on Fuzzy Systems}, year = {2008}, volume = {16}, number = {3}, pages = {615-629}, note = {ISI Document Delivery No.: 312KL Times Cited: 0 Cited Reference Count: 32 Yang, Guang-Hong Dong, Jiuxiang IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC}, url = {Yang_G_H08}, doi = {10.1109/TFUZZ.2007.905911} }  Yang G-H and Dong J (2008), "H¡Þ filtering for fuzzy singularly perturbed systems", IEEE Transactions on Systems Man and Cybernetics Part B-Cybernetics. Vol. 38(5), pp. 1371-1389. [Abstract] [BibTeX] [DOI] [PDF] Abstract: This paper considers the problem of designing$H_infty$filters for fuzzy singularly perturbed systems with the consideration of improving the bound of singular-perturbation parameter$epsilon$. First, a linear-matrix-inequality (LMI)-based approach is presented for simultaneously designing the bound of the singularly perturbed parameter$epsilon$, and$H_infty$filters for a fuzzy singularly perturbed system. When the bound of singularly perturbed parameter$epsilon$is not under consideration, the result reduces to an LMI-based design method for$H_infty$filtering of fuzzy singularly perturbed systems. Furthermore, a method is given for evaluating the upper bound of singularly perturbed parameter subject to the constraint that the considered system is to be with a prescribed$H_infty$performance bound, and the upper bound can be obtained by solving a generalized eigenvalue problem. Finally, numerical examples are given to illustrate the effectiveness of the proposed methods. BibTeX: @article{Yang_G_H08SMC, author = {Yang, G.-H. and Dong, J.}, title = {$H_\infty$filtering for fuzzy singularly perturbed systems}, journal = {IEEE Transactions on Systems Man and Cybernetics Part B-Cybernetics}, year = {2008}, volume = {38}, number = {5}, pages = {1371-1389}, url = {Yang_G_H08SMC}, doi = {10.1109/TSMCB.2008.927277} }  Yang G-H, Lum KY and Dong J (2007), "Comments on $H_infty$filtering for fuzzy singularly perturbed systems with pole placement constraints: An LMI approach"", IEEE Transactions on Signal Processing. Vol. 55(2), pp. 716-717. [Abstract] [BibTeX] Abstract: In this correspondence, some fatal errors in the proof of the main result given in the aforementioned paper are pointed out. BibTeX: @article{Yang_G_H07SP, author = {Yang, G.-H. and Lum, K. Y. and Dong, J. }, title = {Comments on $H_infty$filtering for fuzzy singularly perturbed systems with pole placement constraints: An LMI approach"}, journal = {IEEE Transactions on Signal Processing}, year = {2007}, volume = {55}, number = {2}, pages = {716-717} }  Conference Papers  Dong J, Song X and Yang G-H (2012), "Observer-based fuzzy controller design with local nonlinear feedback laws for discrete-time nonlinear systems", In 24th Chinese Control and Decision Conference (CCDC). , pp. 4237-4242. [Abstract] [BibTeX] [DOI] Abstract: This paper considers the observer-based fuzzy control problem for nonlinear discrete-time systems, which are represented by a type of fuzzy systems with local nonlinear models. By using the estimations of the states and nonlinear functions in local models, sufficient conditions for designing observer-based controllers are given for discrete-time nonlinear systems. A separation property, that is, the controller and the observer can be independently designed, is proved for the class of fuzzy systems. Lastly, a numerical example is given to illustrate the effectiveness of the proposed methods. BibTeX: @inproceedings{, author = {Dong, Jiuxiang and Song, Xuekui and Yang, Guang-Hong}, title = {Observer-based fuzzy controller design with local nonlinear feedback laws for discrete-time nonlinear systems}, booktitle = {24th Chinese Control and Decision Conference (CCDC)}, year = {2012}, pages = {4237--4242}, url = {Dong_J}, doi = {10.1109/CCDC.2012.6244677} }  Dong J, Wang Y and Yang G-H (2008), "State feedback control of discrete-time T-S fuzzy systems with local nonlinear models", In Fuzzy Sets and Systems. [BibTeX] BibTeX: @inproceedings{Dong_J08_10, author = {Dong, Jiuxiang and Wang, Youyi and Yang, Guang-Hong}, title = {State feedback control of discrete-time T-S fuzzy systems with local nonlinear models}, booktitle = {Fuzzy Sets and Systems}, year = {2008} }  Dong J, Wang Y, Yang G-H and Zhang G (2009), "H¡Þcontrol of discrete-time T-S fuzzy systems with local nonlinear models", In 13th IFAC Symposium on Information control Problems in Manufacturing. Moscow, Russia, Jun., 2009. , pp. 466-471. [BibTeX] BibTeX: @inproceedings{Dong_J09c, author = {Dong, Jiuxiang and Wang, Youyi and Yang, Guang-Hong and Zhang, Guohua}, title = {$H_\infty$control of discrete-time T-S fuzzy systems with local nonlinear models}, booktitle = {13th IFAC Symposium on Information control Problems in Manufacturing}, year = {2009}, pages = {466-471} }  Dong J and Yang GH (2007), "An LMI-based approach for state feedback dontroller design of Markovian jump nonlinear systems", In 16th IEEE International Conference on Control Applications. Singapore , pp. 1516-1521. [BibTeX] BibTeX: @inproceedings{Dong_J07k, author = {Dong, J. and Yang, G. H.}, title = {An LMI-based approach for state feedback dontroller design of Markovian jump nonlinear systems}, booktitle = {16th IEEE International Conference on Control Applications}, year = {2007}, pages = {1516-1521} }  Dong J and Yang GH (2007), "Model-independent stabilizing control of Markovian jump nonlinear systems", In 2007 IEEE International Conference on Control and Automation. Guangzhou, CHINA , pp. 686-690. [BibTeX] BibTeX: @inproceedings{Dong_J07l, author = {Dong, J. and Yang, G. H.}, title = {Model-independent stabilizing control of Markovian jump nonlinear systems}, booktitle = {2007 IEEE International Conference on Control and Automation}, year = {2007}, pages = {686-690} }  Dong J and Yang G-H (2012), "H¡Þ dynamic output feedback control for T-S fuzzy systems with local nonlinear models", In 31st Chinese Control Conference (CCC),. , pp. 3443-3448. [Abstract] [BibTeX] Abstract: This paper considers the H∞ dynamic output feedback (DOF) control problem for nonlinear discrete-time systems, which are represented by a new type of T-S fuzzy systems with local nonlinear models. A class of DOF controllers with local nonlinear dynamic structures are proposed and a convex controller design method is developed. In contrast to the existing methods, the new method can design dynamic output feedback controllers with fewer fuzzy rules as well as less computational burden. A numerical example is given to illustrate the effectiveness of the proposed methods. BibTeX: @inproceedings{, author = {Dong, Jiuxiang and Yang, Guang-Hong}, title = {$H_\infty$dynamic output feedback control for T-S fuzzy systems with local nonlinear models}, booktitle = {31st Chinese Control Conference (CCC),}, year = {2012}, pages = {3443--3448} }  Dong J and Yang G-H (2007), "H2 state feedback control synthesis of continuous-time uncertain Markov jump linear systems", In Proc. 2007 American Control Conference. New York City, USA Vol. 1-13, pp. 2417-2421. [Abstract] [BibTeX] Abstract: This paper is concerned with the problem of designing robust H2 state feedback controllers for continuous-time Markov jump linear systems with polytopic uncertainties. A new method for designing robust H2 controllers is presented in terms of solutions to a set of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the proposed design method. BibTeX: @inproceedings{Dong_J07c, author = {Dong, Jiuxiang and Yang, Guang-Hong}, title = {$H_2$state feedback control synthesis of continuous-time uncertain Markov jump linear systems}, booktitle = {Proc. 2007 American Control Conference}, year = {2007}, volume = {1-13}, pages = {2417-2421} }  Dong J and Yang G-H (2007), "H¡Þ controller design via state feedback for uncertain discrete-time singularly perturbed systems", In Proc. 2007 American Control Conference. New York City, USA , pp. 5595-5600. [Abstract] [BibTeX] Abstract: This paper considers the state feedback H control problem for standard discrete-time singularly perturbed systems with polytopic uncertainties. Two methods for designing H controllers are given in terms of solutions to a set of linear matrix inequalities (LMIs), where one of them is with the consideration of improving the upper bound of singular perturbation parameter é©? Moreover, a method of evaluating the upper bound of singular perturbation parameter e with meeting a prescribed H performance bound requirement is also given. Numerical examples are given to illustrate the effectiveness of the proposed methods. BibTeX: @inproceedings{Dong_J07d, author = {Dong, Jiuxiang and Yang, Guang-Hong}, title = {$H_infty$controller design via state feedback for uncertain discrete-time singularly perturbed systems}, booktitle = {Proc. 2007 American Control Conference}, year = {2007}, pages = {5595-5600} }  Dong J and Yang G-H (2007), "Robust H¡Þ controller design via static output feedback of uncertain discrete-time T-S fuzzy systems", In Proc. 2007 American Control Conference. New York City, USA Vol. 1-13, pp. 4053-4058. [Abstract] [BibTeX] Abstract: This paper is concerned with the problem of designing robust H static output feedback controllers for a class of nonlinear systems, which are represented by T-S fuzzy models. Sufficient conditions for static output feedback stabilizing controller design are given in terms of solutions to a set of linear matrix inequalities. It has shown that the new proposed design method is less conservative than the existing result in the literature. An example is given to illustrate the effectiveness of the proposed design method. BibTeX: @inproceedings{Dong_J07e, author = {Dong, Jiuxiang and Yang, Guang-Hong}, title = {Robust$H_infty$controller design via static output feedback of uncertain discrete-time T-S fuzzy systems}, booktitle = {Proc. 2007 American Control Conference}, year = {2007}, volume = {1-13}, pages = {4053-4058} }  Dong J and Yang G-H (2007), "Robust output feedback controller design via parameter-dependent Lyapunov functions", In Proc. 2007 American Control Conference. New York City, USA , pp. 2618-2623. [Abstract] [BibTeX] Abstract: This paper is concerned with the problem of designing robust static output feedback controllers for linear discrete and continuous-time systems with time-invariant polytopic uncertainties. Sufficient conditions for static output feedback stabilizing controller designs are given in terms of solutions to a set of linear matrix inequalities. Furthermore, the results are also extended to H2 static output feedback controller designs. Numerical examples are given to illustrate the effectiveness of the proposed design methods. BibTeX: @inproceedings{Dong_J07f, author = {Dong, Jiuxiang and Yang, Guang-Hong}, title = {Robust output feedback controller design via parameter-dependent Lyapunov functions}, booktitle = {Proc. 2007 American Control Conference}, year = {2007}, pages = {2618-2623} }  Dong J and Yang G-H (2007), "An LMI-based approach to$H_infty$output feedback control of discrete-time T-S fuzzy systems via switched fuzzy control scheme", In Proc. 46th IEEE Conference on Decision and Control. New Orleans, LA, USA , pp. 5973-5978. [BibTeX] BibTeX: @inproceedings{Dong_J07i, author = {Dong, J. and Yang, G.-H.}, title = {An LMI-based approach to$H_infty$output feedback control of discrete-time T-S fuzzy systems via switched fuzzy control scheme}, booktitle = {Proc. 46th IEEE Conference on Decision and Control}, year = {2007}, pages = {5973-5978} }  Dong J and Yang G-H (2007), "$H_infty$reduced-order filtering of discrete-time T-S fuzzy systems", In 16th IEEE International Conference on Control Applications. Singapore , pp. 1526-1531. [BibTeX] BibTeX: @inproceedings{Dong_J07j, author = {Dong, J. and Yang, G.-H.}, title = {$H_infty\$ reduced-order filtering of discrete-time T-S fuzzy systems}, booktitle = {16th IEEE International Conference on Control Applications}, year = {2007}, pages = {1526-1531} }  Dong J and Yang G-H (2007), "A new multiple lyapunov function approach to synthesis of fuzzy control systems", In Second IEEE Conference on Industrial Electronics and Applications (ICIEA 2007). Harbin, China , pp. 2284-2289. Institute of Electrical and Electronics Engineers Computer Society, Piscataway, NJ 08855-1331, United States. [Abstract] [BibTeX] Abstract: This paper studies the problem of control synthesis of a class of continuous nonlinear control systems, described by Takagi-Sugeno (T-S) fuzzy models. Based on linear matrix inequality (LMI) technique, a new design method for stabilizing state feedback controllers is also developed for the class of TS fuzzy systems via multiple Lyapunov function. A numerical example is given to illustrate the effectiveness of the proposed methods. © 2007 IEEE. BibTeX: @inproceedings{Dong_J07m, author = {Dong, Jiuxiang and Yang, Guang-Hong}, title = {A new multiple lyapunov function approach to synthesis of fuzzy control systems}, booktitle = {Second IEEE Conference on Industrial Electronics and Applications (ICIEA 2007)}, publisher = {Institute of Electrical and Electronics Engineers Computer Society, Piscataway, NJ 08855-1331, United States}, year = {2007}, pages = {2284-2289}, note = {Compilation and indexing terms, Copyright 2007 Elsevier Inc. All rights reserved 074210874715 Fuzzy control systems Takagi-Sugeno (T-S) fuzzy models Control synthesis} }  Dong J and Yang G-H (2006), "Robust output feedback control for polytopic linear systems", In 9th International Conference on Control, Automation, Robotics and Vision ( ICARCV '06). Singapore, Singapore , pp. 1866-1871. Institute of Electrical and Electronics Engineers Computer Society, Piscataway, NJ 08855-1331, United States. [Abstract] [BibTeX] Abstract: This paper is concerned with the problem of designing robust static output feedback controllers for linear discrete and continuous-time systems with time-invariant polytopic uncertainties. Sufficient conditions for static output feedback stabilizing controller design are given in terms of solutions to a set of linear matrix inequalities. Furthermore, the method is also extended to H2 static output feedback controller designs. Numerical examples are given to illustrate the effectiveness of the proposed design methods. © 2006 IEEE. BibTeX: @inproceedings{Dong_J06a, author = {Dong, Jiuxiang and Yang, Guang-Hong}, title = {Robust output feedback control for polytopic linear systems}, booktitle = {9th International Conference on Control, Automation, Robotics and Vision ( ICARCV '06)}, publisher = {Institute of Electrical and Electronics Engineers Computer Society, Piscataway, NJ 08855-1331, United States}, year = {2006}, pages = {1866-1871}, note = {Compilation and indexing terms, Copyright 2007 Elsevier Inc. All rights reserved 073110719372 Static output feedback Time-invariant uncertainty Parameter dependent Lyapunov function Continuous-time systems} }  Dong J, Yang G-H and Ma H-J (2013), "A new stability condition for fuzzy control systems by using equivalence class in set theory", In 32nd Chinese Control Conference (CCC). , pp. 3470-3475. [Abstract] [BibTeX] Abstract: This paper is concerned with the stability analysis for T-S fuzzy control systems. By exploiting the property of the structure of fuzzy inference engine, an equivalence relation on index set of the product of rule weights is defined. Further, a new class of stability analysis conditions is proposed by using the equivalence classes under the relation. In contrast to the existing results, the new conditions are with less conservatism and a lighter computational burden. Numerical examples are given to illustrate the effectiveness of the proposed methods. BibTeX: @inproceedings{, author = {Dong, Jiuxiang and Yang, Guang-Hong and Ma, Hong-Jun}, title = {A new stability condition for fuzzy control systems by using equivalence class in set theory}, booktitle = {32nd Chinese Control Conference (CCC)}, year = {2013}, pages = {3470--3475} }  Li Z, Dong J and Yang G-H (2013), "Diagonal dominance for flight control systems of canard aircraft in finite frequency range", In 25th Chinese Control and Decision Conference (CCDC). , pp. 1983-1988. [Abstract] [BibTeX] [DOI] Abstract: This paper presents a new method for determining a constant precompensator for reducing the effects of interactions of the flight control systems in Canard Aircraft. However, the previous methods achieve diagonal dominance either at a certain suitable frequency or across the entire frequency domain. Taking the practical engineering situation into consideration, it is necessary to achieve diagonal dominance among a specific section instead of the whole of the frequency domain. This paper combines the LMIs and the Generalized KYP Lemma to obtain a new method to solve the problem. The algorithm is then modified to reduce the conservatism by the introduction of a path-shaping matrix. The path-shaping matrix enables a designer to find an optimal precompensator to achieve a specific forward path structure and a satisfactory output response. The algorithm is applied to a Canard Aircraft flight control system. Simulations show the new approach can more effectively decouple the Canard Aircraft system than other approaches. BibTeX: @inproceedings{, author = {Li, Zhe and Dong, Jiuxiang and Yang, Guang-Hong}, title = {Diagonal dominance for flight control systems of canard aircraft in finite frequency range}, booktitle = {25th Chinese Control and Decision Conference (CCDC)}, year = {2013}, pages = {1983--1988}, doi = {10.1109/CCDC.2013.6561259} }  Wang C, Dong J, Yang G and Kang H (2013), "Fuzzy fault tolerant control for nonlinear systems with sensor faults", In 32nd Chinese Control Conference (CCC). , pp. 6214-6219. [Abstract] [BibTeX] Abstract: This paper is concerned with the design of static output feedback(SOF) fuzzy controllers for a continuous-time Takagi-Sugeno fuzzy system with sensor faults. By introducing a particular change of variable, a convex sufficient condition with a line search over a scalar variable for designing fault tolerant SOF controllers is given in terms of a family of linear matrix inequalities. In contrast to some existing approaches, the new condition removes the equality constraint between the output matrix and Lyapunov matrix, then can reduce the conservatism of the existing conditions. Finally, a numerical example is given to verify the effectiveness of the proposed method. BibTeX: @inproceedings{, author = {Wang, Caicheng and Dong, Jiuxiang and Yang, Guanghong and Kang, Haobo}, title = {Fuzzy fault tolerant control for nonlinear systems with sensor faults}, booktitle = {32nd Chinese Control Conference (CCC)}, year = {2013}, pages = {6214--6219} }  Yang G-H and Dong J (2009), "Robust stability of polytopic systems via affine parameter-dependent Lyapunov functions", In Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on. , pp. 75-80. [Abstract] [BibTeX] Abstract: This paper studies robust stability of linear systems with polytopic uncertainty. New necessary and sufficient conditions for the existence of an affine parameter-dependent Lyapunov function assuring the Hurwitz or Schur stability of a polytopic system, which are composed of a family of linear matrix inequality conditions of increasing precision. At each step, a set of linear matrix inequalities provides sufficient conditions for the existence of the affine parameter-dependent Lyapunov function, and necessity is asymptotically attained. Compared with the existing results in the literature, it is shown that the new stability conditions provide less conservative tests at each step. A numerical example is given to illustrate the effectiveness of the new results. BibTeX: @inproceedings{Yang_G_H09, author = {Yang, Guang-Hong and Dong, Jiuxiang}, title = {Robust stability of polytopic systems via affine parameter-dependent Lyapunov functions}, booktitle = {Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on}, year = {2009}, pages = {75-80} }  Yang G-H and Dong J (2006), "Quadratic stability analysis of fuzzy control systems", In Proc. 2006 American Control Conference. Minneapolis, MN, USA , pp. 4344-4349. IEEE. [Abstract] [BibTeX] Abstract: This paper is concerned with the problem of quadratic stability analysis of nonlinear continuous-time control systems given by Takagi-Sugeno (T-S) fuzzy models. A new quadratic stability condition for the class of fuzzy control systems is presented in terms of solvability of linear matrix inequalities (LMIs). It is shown that the new quadratic stability criterion provides better or at least the same results of the existing methods in the literature, and numerical examples are given to illustrate the effectiveness of the proposed stability criterion BibTeX: @inproceedings{Yang_G_H06ACC, author = {Yang, Guang-Hong and Dong, Jiuxiang}, title = {Quadratic stability analysis of fuzzy control systems}, booktitle = {Proc. 2006 American Control Conference}, publisher = {IEEE}, year = {2006}, pages = {4344-4349}, note = {quadratic stability analysis fuzzy control systems nonlinear continuous-time control systems Takagi-Sugeno fuzzy models linear matrix inequalities} }  Yang G-H and Dong J (2006), "An LMI-based approach to fuzzy control systems analysis", In Sixth World Congress on Intelligent Control and Automation (WCICA06). Dalian, China Vol. 1, pp. 229-233. IEEE. [Abstract] [BibTeX] Abstract: This paper is concerned with the problem of quadratic stability analysis of continuous nonlinear control systems given by Takagi-Sugeno (T-S) fuzzy models. A set of new quadratic stability conditions for fuzzy regulators of the class of fuzzy control systems are presented in terms of solvability of linear matrix inequalities (LMIs). It is shown that the new quadratic stability criteria provide better or at least the same results of the existing methods in the literature, and numerical examples are given to illustrate the effectiveness of the proposed stability criterion BibTeX: @inproceedings{Yang_G_H06WCICA, author = {Yang, Guang-Hong and Dong, Jiuxians}, title = {An LMI-based approach to fuzzy control systems analysis}, booktitle = {Sixth World Congress on Intelligent Control and Automation (WCICA06)}, publisher = {IEEE}, year = {2006}, volume = {1}, pages = {229-233}, note = {linear matrix inequalities fuzzy control systems analysis quadratic stability analysis continuous nonlinear control systems Takagi-Sugeno fuzzy model fuzzy regulators stability criterion state feedback control} }  Zhang Z, Dong J and Yang G-H (2013), "Input-output energy decoupling for 3DOF helicopter system by using generalized KYP synthesis", In 25th Chinese Control and Decision Conference (CCDC). , pp. 5103-5108. [Abstract] [BibTeX] [DOI] Abstract: The 3DOF helicopter system is a multi-variable and strong coupled system. This paper is concerned with input-output energy decoupling and presents a new input-output energy decoupling conditions for 3DOF helicopter system. The previous methods achieve input-output energy decoupling in entire frequency range and often with additional conditions, which is not completely adopted to practical situation. Therefore, it is necessary to achieve input-output energy decoupling in a finite frequency range and without additional conditions. The new input-output energy decoupling conditions are proposed in this paper as a finite-dimensional convex optimization problem described by linear matrix inequalities (LMIs) to solve this problem, which is with less conservatism. The algorithm is applied to 3DOF helicopter system and the simulation results are given to illustrate the effectiveness of the proposed new decoupling methods. BibTeX: @inproceedings{, author = {Zhang, Zhihui and Dong, Jiuxiang and Yang, Guang-Hong}, title = {Input-output energy decoupling for 3DOF helicopter system by using generalized KYP synthesis}, booktitle = {25th Chinese Control and Decision Conference (CCDC)}, year = {2013}, pages = {5103--5108}, doi = {10.1109/CCDC.2013.6561861} }