Stability Analysis and Controller Design of the Nonlinear Switched Systems via T-S Discrete-Time Fuzzy Model

作者：Chiou Juing Shian^*; Wang Chi Jo; Cheng Chun Ming; Wang Chih Chieh

来源：International Journal of Fuzzy Systems, 2009, 11(4): 213-224.

• Switched system
• T-S fuzzy model
• Lyapunov function
• Stability
• Switching law
• Linear matrix inequalities (LMIs)

In this paper, we proposed an innovative representation modeling of the Takagi-Sugeno (T-S) fuzzy switched discrete-time system. The simulation of stability analysis methods based on Lyapunov stability theorem to study the stability and switching law design for the T-S fuzzy switched discrete-time systems. Sufficient conditions for quadratic asymptotic stability are presented and stabilizing switching laws of state-dependent form are designed. Furthermore, these methods can be applied to cases when all individual systems are unstable. The parallel distributed compensation (PDC) is employed to design fuzzy controllers from the T-S fuzzy models. The stabilization analysis is reduced to a problem of finding a common Lyapunov function for a set of linear matrix inequalities. Finally, a numerical example and an illustrative example based on the chemical process example are given to show the merits of the proposed approach, respectively.

• 出版日期2009-12