Nonfragile Retarded Sampled-Data Switched Control of T–S Fuzzy Systems and Its Applications

This article investigates the nonfragile retarded fuzzy sampled-data control design of Takagi-Sugeno (T-S) fuzzy system. When compared to the traditional sampled-data control scheme, a constant signal transmission delay is involved with uncertainties in control gain parameters, which exploited for the first time to tackle the stabilization analysis of the closed-loop T-S fuzzy systems based on the switched control idea. By constructing a fuzzy membership function (FMF)-dependent Lyapunov-Krasovskii functional (LKF) and utilizing the time-derivative information of the FMF, the sufficient conditions are carried out in terms of linear matrix inequalities (LMIs) such that the resultant T-S fuzzy systems can achieve the globally asymptotically stable under the designed control. Then, the desired control gain is determined by solving the obtained LMIs. Finally, the numerical simulations are demonstrated to show the advantage and applicability of the derived sufficient conditions.