Fault-tolerant control with finite-time stability for switched linear systems

For switched linear systems, the fault-tolerant control with finite-time stability is studied in this paper. Firstly, the satisfied conditions that actuators failed in actual operation are purposed within the permission of fault-tolerant control. Furthermore, by the linear matrix inequality (LMI) approach, the stabilizing state feedback controllers and a class of switching signals are designed, which can guarantee the finite-time stable of the switched linear systems under arbitrary switching satisfying the average dwell-time condition. Finally, an example is employed to verify the efficiency of the proposed method in this paper.