A new approach to stabilization of continuous-time T-S fuzzy control systems via fuzzy lyapunov function

This paper deals with the stabilization design problem for a class of continuous-time Takagi-Sugeno (T-S) fuzzy model-based control systems. A stabilization design based on fuzzy Lyapunov function and a non-parallel distributed compensation (non-PDC) control law has been proposed. Sufficient stabilization conditions are derived. The conditions for the solvability of the state feedback controller design are given in a form of linear matrix inequalities (LMIs) which can be efficiently solved using convex optimization techniques. Unlike most of the fuzzy Lyapunov functions approaches reported in literatures, the bounds of the time derivatives of the membership functions are not required in the proposed approach. The validity of the proposed approach is demonstrated using numerical example via simulation. Index Term-Fuzzy Lyapunov Function, Linear Matrix Inequality (LMI), Non-Parallel Distributed Compensation (nonPDC), Takagi-Sugeno (T-S) Fuzzy Model-Based Control Systems.

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