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

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

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In this paper, the robust exponential $H_{infty }$ 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 eye pencil 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 Outdoor Television exponential $H_{infty }$ 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.