Fault Detection for Discrete-Time Switched Systems with Interval Time-Varying Delays

Abstract

This chapter investigates the problem of FD filter design for discrete-time switched systems with interval time-varying delays. The residual generator is constructed based on mode-dependent FD filter, i.e. the designed fault detection filter is also a switched system as well. By constructing a novel switched Lyapunov functional, a new criterion is obtained for the residual system. Based on this, a sufficient condition for the existence of the above filters is established in terms of LMIs. The designed FD filter can guarantee the difference between the generated residual signal and the fault signal as small as possible. A numerical example is provided to illustrate the effectiveness of the proposed method.