Robust non-fragile fault-tolerant H∞ control for time-delay uncertain linear systems

This paper is concerned with the problem of robust non-fragile fault-tolerant H∞ control for a type of uncertain linear systems with state-delay. We design a fault-tolerant state feedback controller with parameter perturbation such that the fault closed-loop system is asymptotically stable and satisfies the H∞ performance index. Based on Lyapunov function method the sufficient condition of the problem is presented as an LMI and the state feedback gain can be obtained in virtue of the solution to the LMI in practical application. The controller designed by this method can ensure the robustness and H∞ property. Finally, a numerical example illustrates the effectiveness of the approach.