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

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. (c) 2022 Elsevier B.V. All rights reserved.

Automated summary

This article investigates the problem of exponential stabilization for Takagi-Sugeno (T-S) fuzzy systems with actuator faults and aperiodic sampling. It first designs a fault-tolerant control strategy for T-S fuzzy systems under a given actuator fault model. Then, an improved aperiodic adaptive event-triggered (AET) control scheme is established, which updates the threshold adaptively during the sampling process to greatly reduce the amount of transmitted information. Two sufficient exponential stability conditions are derived based on the Lyapunov-Krasovskii functional (LKF) method. Additionally, a corresponding sampled-data controller is designed according to the stability conditions and fault-tolerant mechanism. Finally, the virtue and effectiveness of the proposed scheme are demonstrated through a numerical example and a simplified gas turbine system.