Local H infinity Control for Continuous-Time T-S Fuzzy Systems via Generalized Non-Quadratic Lyapunov Functions

This paper further develops a relaxed method to reduce conservatism in H infinity feedback control for continuous-time T-S fuzzy systems via a generalized non-quadratic Lyapunov function. Different from the results of some exisiting works, the generalized H infinity state feedback controller is designed. The relaxed stabilization conditions are obtained by applying Finsler's lemma with the homogenous polynomial multipliers, and the H infinity performance is acquired by solving an optimization problem. In addition, the proposed method could be expanded to handle other control problems for fuzzy systems. Two examples are given to show the validity of the proposed results.