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

This paper investigates the problem of robust H-infinity 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 H-infinity performance are derived. The method of calculating controller, fault detection filter gainmatrices, and the minimal H-infinity attenuation level is also obtained. Finally, one numerical example is used to illustrate the effectiveness of the proposed method.