Fault-tolerant control for T-S fuzzy systems with an aperiodic adaptive event-triggered sampling

Abstract

This article investigates the exponential stabilization problem for Takagi-Sugeno (T-S) fuzzy systems with actuator faults and aperiodic sampling. First, the fault-tolerant control is designed for T-S fuzzy systems under the given actuator fault model. Second, unlike the existing periodic mechanisms, an improved aperiodic adaptive event-triggered (AET) control scheme is established. The threshold is updated adaptively during the sampling process, which greatly reduces the amount of information transmitted. Then, based on Lyapunov-Krasovskii functional (LKF) method, two sufficient exponential stability conditions are derived. In order to derive the less conservative result, a two-sided looped-functional is constructed. In addition, according to stability conditions and fault-tolerant mechanism, the corresponding sampled-data controller is designed. Finally, a numerical example and a simplified gas turbine system are employed to demonstrate the virtue and effectiveness of application of the proposed scheme.