Adaptive fuzzy sliding-mode controller of uncertain nonlinear systems.

This paper deals with the design of adaptive fuzzy sliding-mode controllers for the T-S fuzzy model based on the Lyapunov function. It is shown that the Lyapunov function can be used to establish fuzzy sliding surfaces by solving a set of linear matrix inequalities (LMIs). The design of the fuzzy sliding surfaces and the adaptive fuzzy sliding-mode controllers is proposed. The adaptive mechanism is also used to deal with unknown parameter perturbations and external disturbances. Two examples illustrate the feasibility of the proposed methods.

[1]  Shaocheng Tong,et al.  Observer-based robust fuzzy control of nonlinear systems with parametric uncertainties , 2002, Fuzzy Sets Syst..

[2]  Lotfi A. Zadeh,et al.  Outline of a New Approach to the Analysis of Complex Systems and Decision Processes , 1973, IEEE Trans. Syst. Man Cybern..

[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]  Kazuo Tanaka,et al.  Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach , 2008 .

[5]  Kazuo Tanaka,et al.  Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs , 1998, IEEE Trans. Fuzzy Syst..

[6]  M. Sugeno,et al.  Structure identification of fuzzy model , 1988 .

[7]  R. M. Tong,et al.  A control engineering review of fuzzy systems , 1977, Autom..

[8]  Zhihong Man,et al.  Design of fuzzy sliding-mode control systems , 1998, Fuzzy Sets Syst..

[9]  Tong Heng Lee,et al.  Output tracking control of MIMO fuzzy nonlinear systems using variable structure control approach , 2002, IEEE Trans. Fuzzy Syst..

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

[11]  M. Chung,et al.  A variable structure control with simple adaptation laws for upper bounds on the norm of the uncertainties , 1992 .

[12]  Jin Bae Park,et al.  Design of robust fuzzy-model-based controller with sliding mode control for SISO nonlinear systems , 2002, Fuzzy Sets Syst..