Robust Exponential H _∞ Fault Tolerant Control for Sampled-Data Control Systems With Actuator Failure: A Switched System Method

Abstract

In this paper, the robust exponential H ∞ fault tolerant control problem is investigated, which is concerned with uncertainties, disturbances and actuator failures. Determined by whether the actuator fails or not, the continuous-time system is remodeled as a switched system. Then a sampled-data controller is designed. Through Lyapunov functional theory and the admissible edge-dependent average dwell time method, some sufficient conditions are derived to ensure that the closed-loop system is robustly exponentially stable with exponential H ∞ performance. The corresponding controller gains can also be obtained via linear matrix inequalities (LMIs). Finally, two examples are presented to verify the validity of the relevant results. INDEX TERMSActuator failures, Admissible edge-dependent average dwell time, Exponential H ∞ fault tolerant control, Sampled-data control systems, Switched systems