Switching controller for fuzzy systems subject to unknown parameters: analysis and design based on a linear matrix inequality (LMI) approach

This paper presents a switching control scheme for multivariable nonlinear systems. Based on a fuzzy plant model of the multivariable nonlinear system, a switching controller consisting of a number of simple sub-controllers is proposed. The parameters of the switching controller can be obtained by solving some linear matrix inequalities. A switching algorithm is developed. To illustrate the merits and the design procedures of the proposed switching controller, an application example is given.

[1]  Kazuo Tanaka,et al.  Robust stabilization of a class of uncertain nonlinear systems via fuzzy control: quadratic stabilizability, H∞ control theory, and linear matrix inequalities , 1996, IEEE Trans. Fuzzy Syst..

[2]  Sinn-Cheng Lin,et al.  Design of adaptive fuzzy sliding mode for nonlinear system control , 1994, Proceedings of 1994 IEEE 3rd International Fuzzy Systems Conference.

[3]  Michio Sugeno,et al.  Fuzzy identification of systems and its applications to modeling and control , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[4]  Tzuu-Hseng S. Li,et al.  An approach to systematic design of the fuzzy control system , 1996, Fuzzy Sets Syst..

[5]  R. Palm,et al.  Sliding mode fuzzy control , 1992, [1992 Proceedings] IEEE International Conference on Fuzzy Systems.

[6]  Gang Feng,et al.  Analysis and design for a class of complex control systems part II: Fuzzy controller design , 1997, Autom..

[7]  Kurt Fischle,et al.  An improved stable adaptive fuzzy control method , 1999, IEEE Trans. Fuzzy Syst..

[8]  Li-Xin Wang,et al.  Stable adaptive fuzzy control of nonlinear systems , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[9]  Ching-Jung Lee,et al.  The adaptive control of nonlinear systems using the Sugeno-type of fuzzy logic , 1999, IEEE Trans. Fuzzy Syst..

[10]  Yuezhong Tang,et al.  Stable fuzzy adaptive control for a class of nonlinear systems , 1999, Fuzzy Sets Syst..

[11]  Ji-Chang Lo,et al.  Decoupled fuzzy sliding-mode control , 1998, IEEE Trans. Fuzzy Syst..

[12]  Bor-Sen Chen,et al.  H∞ tracking design of uncertain nonlinear SISO systems: adaptive fuzzy approach , 1996, IEEE Trans. Fuzzy Syst..

[13]  Sung-Woo Kim,et al.  Design of a fuzzy controller with fuzzy sliding surface , 1995 .

[14]  Li-Xin Wang Stable adaptive fuzzy control of nonlinear systems , 1993, IEEE Trans. Fuzzy Syst..

[15]  Kazuo Tanaka,et al.  An approach to fuzzy control of nonlinear systems: stability and design issues , 1996, IEEE Trans. Fuzzy Syst..