Improved Stabilization Criteria for Fuzzy Chaotic Systems Using Memory Sampled-Data Strategy

This letter considers a memory sampled-data control for Takagi-Sugeno (T-S) fuzzy chaotic system. A memory sampled-data control technique, which includes a constant signal transmission delay stabilizes the considered T-S fuzzy system. First, a looped-functional is constructed corresponding to the chaotic system. Then, Free-Matrix-Based integral inequality is applied to solve the integral term in the derivative of the looped-functional. The sufficient conditions are obtained in terms of linear matrix inequalities (LMIs) to guarantee the asymptotic stability of T-S fuzzy systems and the existence of memory sampled-data control law. With a numerical example, the performance and importance of the proposed method are illustrated.