Ronghao Wang, Jianchun Xing, Chuan Zhou, and Ping Wang
Finite-time, asynchronous switching, switched system, average dwelltime, fault-tolerant, H∞ control
The problem of robust H∞ finite-time fault-tolerant control of switched systems with asynchronous switching is investigated in this paper. The asynchronous switching idea originates from the fact that switching instants of the controllers lag behind or exceed those of the subsystems. In order to make systems anti- jamming and fault-tolerant, the attention is focused on designing a robust H∞ fault-tolerant asynchronously switched controller that guarantees the finite-time properties of dynamic system. Using the average dwell time method and the multiple Lyapunov-like function technique, a finite-time stabilizable condition related to the dwell time is proposed. Also, the problem of H∞ fault-tolerant control for switched systems with asynchronous switching is investigated and a state feedback controller is designed to guarantee finite-time stability of the switched systems. Furthermore, the design method of feedback controller is proposed to ensure robust H∞ finite-time stability of the system for all admissible uncertainties, actuator fault and exogenous disturbance. Numerical examples are employed to verify the effectiveness of the proposed method.
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