Robust Fault Detection for Networked Markov Jump Systems with Random Time-Delay

This paper investigates the problem of robust fault detection for networked Markov jump systems with random time-delay which is introduced by the network. The random time-delay is modeled as a Markov process, and the networked Markov jump systems are modeled as control systems containing two Markov chains. The delay-dependent fault detection filter is constructed. Furthermore, the sufficient and necessary conditions which make the closed-loop system stochastically stable and achieve prescribed performance are derived. The method of calculating controller, fault detection filter gain matrices, and the minimal attenuation level is also obtained. Finally, one numerical example is used to illustrate the effectiveness of the proposed method.

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