H∞ fault detection filter design for networked control systems in the continuous-time domain

This paper deals with the problem of fault detection filter design for a class of networked control systems. Under the assumptions of network-induced time delay being unknown but bounded, packet dropouts and packets out of sequence being unavoidable, a system model for networked control system is firstly introduced in the continuous-time domain. Then an observer-based H∞ fault detection is formulated and, by applying the Lyapunov-Krasovskii functional approach, a delay-dependent sufficient condition on the existence of the H∞ fault detection filter (FDF) is derived in terms of matrix inequality. Furthermore, an algorithm is proposed to get a feasible solution to the H∞ fault detection filter gain matrices in terms of linear matrix inequalities (LMIs) using a cone complementary technology. A simulation example is given to demonstrate the effectiveness of the proposed method.