Robust Fault Tolerance Control of Switched Systems Under Switching Boundary Mismatch and Uncertainty

The switching boundary is a fundamental component of state-dependent switched systems. The mismatch of switching boundary may make real plant and controller operate asynchronously, which also will result in the deterioration of performance. Aiming at the switched systems with actuator faults and uncertainty, considering the switching boundary mismatch, in this paper, a robust fault-tolerant control policy is put forward. Firstly, a compensation model of the switched system is constructed, and a state-information-based observation algorithm is created to observe the mismatch of the switching boundary. According to the iterative learning method, a fault-tolerant controller is designed, and an equivalent model is built. Sufficient conditions of the robust exponentially stable is given by implementing the mode-dependent average dwell time method as well as Lyapunov stability theory. Then, controller gains are solved. At last, the simulation demonstrates availability and validity of the strategy presented in this paper.