Robust fault-tolerant control for nonlinear switched singular systems with uncertainties and time-delay

In this paper, the problem of robust fault-tolerant control is studied for a class of nonlinear switched singular systems with structural parameters uncertainties and time-delay. Based on convex combination technology and the generalized Lyapunov funtion, state feedback controllers and the corresponding switching strategy are presented to make the closed-loop systems be asymptotically stable. Then, discussing the circumstance of some actuator failures, and for all admissible uncertainties and all possible actuator failures occurring in a pre-specified subset of actuators, the closed-loop systems are shown to be asymptotically stable. Finally, a numerical example is simulated by using Matlab LMI toolbox, and the results demonstrate the feasibility and validity of the proposed method.