FAULT-TOLERANT H∞ FILTER DESIGN OF A CLASS OF SWITCHED SYSTEMS WITH SENSOR FAILURES

The fault-tolerant H-infinity filter design problem is proposed for a class of switched systems with sensor failures. A new idea that transforming a switching fault matrix into a class of dynamic interval matrix is adopted in order to enlarge the admissible range of sensor failures and reduce computational cost. Under arbitrary switching, a fault-tolerant H-infinity filter is designed for switched systems composed of stable subsystems based on common Lyapunov function technique. For switched systems composed of unstable subsystems, by constructing appropriate switching strategy, a fault-tolerant H-infinity filter is established by multiple Lyapunov functions technique. The fault-tolerant filter against sensor failures can make the filtering error system asymptotically stable while ensuring H-infinity norm bound gamma. A simulation example illustrates the advantage of our method.