Relaxation Technique for a T–S Fuzzy Control Design Based on a Continuous-Time Fuzzy Weighting-Dependent Lyapunov Function

Based on the fuzzy weighting-dependent Lyapunov function, this paper proposes a method to drive the relaxed stabilization condition for continuous-time Takagi-Sugeno (T-S) fuzzy control systems without resorting to elimination and bounding techniques. Here, to achieve an improved robust H_∞ performance while enhancing the interactions among the fuzzy subsystems, this paper proposes a valuable relaxation technique that is capable of incorporating the derivatives of fuzzy weighting functions to the relaxation process. Finally, three examples are given to verify the effectiveness of the proposed method.