Robust fault detection for switched systems with time-varying delay using delta operator approach

This paper addresses the problem of fault detection for switched systems with time-varying delay using delta operator approach. By means of the delta operator systems, a fault detection observer is used as the residual generator. Based on the switched Lyapunov function approach, sufficient conditions for the existence of the fault detection observer are given in terms of linear matrix inequalities (LMIs). An example is provided to show the effectiveness and applicability of the proposed method.