Robust Fault Detection for Discrete-Time Switched Linear Systems with State Delays

Abstract

This chapter investigates the problem of robust fault detection for discrete-time switched systems with state delays under arbitrary switching signal. The fault detection filter is employed as the residual generator whose parameters are dependent on the system mode. The objective of this chapter is to design the robust fault detection filter in order to minimize the estimation error between the residuals and the faults for unknown inputs, control inputs and model uncertainties. By switched Lyapunov functional approach, a sufficient condition for the solvability of this problem is established.