Abstract
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.
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