Robust Fault Detection for Continuous-Time Switched Delay Systems

Abstract

This chapter studies the robust fault detection problem for continuous-time switched systems with state delays. The fault detection filter is used as the residual generator depending on the system mode. Attention is focused on designing the filter such that, for themodeling errors, the unknown inputs and the control inputs, the error between the residuals and the faults is minimized. The addressed fault detection filter design is converted into an auxiliary H_∞ filtering problem. By using the Lyapunov- Krasovskii functional method and average dwell time approach, a sufficient condition for the solvability of this problem is established in terms of linear matrix inequalities (LMIs). Two examples are provided to demonstrate the effectiveness of the proposed method.