Dissipativity-based Fault Detection for Markov Jump Systems with Mode-dependent Time-varying Delays

In this paper, the dissipative-based fault detection problem of Markov jump systems with mode-dependent time-varying delays is investigated. More precisely, a filtering-based residual generator is constructed based on model transformation. By utilizing the Lyapunov-Krasovskii method and stochastic analysis, novel mode-dependent and delay-dependent sufficient conditions are first established to ensure that the augmented error system is stochastically stable while satisfying the given dissipative performance index. Based on the obtained conditions, the mode-dependent filter gains are further designed in terms of linear matrix inequalities (LMIs). Finally, a numerical example is provided to illustrate the effectiveness of our theoretical results.