Output Feedback Stabilization for Discrete Nonlinear Systems Based on T-S Fuzzy Model

Abstract The output feedback stabilization for discrete nonlinear systems is studied based on T-S fuzzy model in this paper. Firstly, a concept of the efficient mutual non-neighboring rule group (EMNNRG) is presented. Secondly, by using the scheme of parallel distributed compensation (PDC) and the piecewise fuzzy Lyapunov function, the stability of the closed-loop discrete T-S fuzzy control systems is analyzed and a corresponding fuzzy controller is designed, and the quadratic stability condition of the closed-loop discrete T-S fuzzy systems only requires meeting the stability condition of the fuzzy Lyapunov function approach in each EMNNRG. Finally, simulation study for an illustrative example is conducted to show the effectiveness of the proposed method.

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