Fault-tolerant Control of Discrete-time Switched Systems

For linear discrete-time switched systems, the fault-tolerant control problem is studied in this paper. A sufricient condition for the switched system to be asymptotically stable under arbitrary switching against sensor failures is proposed. Within the permission of fault-tolerant control, state feedback controllers and switching strategies are designed simultaneously, which can guarantee the globally asymptotical stabilizability of the switched system based on multiple Lyapunov functions technique. A simulation example illustrates the effectiveness of the proposed approach in terms of linear matrix inequalities (LMI).