Improved criteria for the stabilization of T-S fuzzy systems with actuator failures via a sampled-data fuzzy controller

Abstract This paper studies a problem of the sampled-data stabilization for Takagi-Sugeno fuzzy systems with actuator failures. An improved Lyapunov functional is constructed, which is dependent on the fuzzy membership functions FMFs and includes the sampling states with two sampling instants. A new integral term including the FMFs is introduced into this Lyapunov functional for the first time. Each term in this Lyapunov functional need not be positive, but it should be positive at sampling instants. The variation range of the FMFs is taken into account in dealing with the derivative of this Lyapunov functional as well. Then, improved stabilization criteria guaranteeing a larger sampling interval are obtained by applying the developed fuzzy controller. Simulation examples are given to illustrate the effectiveness and less conservatism of the proposed method.

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