Relaxed stabilization conditions for continuous-time Takagi–Sugeno fuzzy control systems

This paper deals with the stabilization of continuous-time Takagi–Sugeno (T–S) fuzzy control systems. Based on fuzzy Lyapunov functions and nonparallel distributed compensation (non-PDC) control laws, new stabilization conditions are represented in the form of linear matrix inequalities (LMIs). The theoretical proof shows that the proposed conditions can provide less conservatism than the existing results in the literature. Moreover, in order to demonstrate the effectiveness of the non-PDC control laws, the problem of H∞ controller design for T–S fuzzy systems is also studied. Simulation examples are given to illustrate the merits of the proposed methods.