Chengjin Zhang, Xiaomei Qi, and Jason Gu
Robust fault detection filter, long delay, data packet dropout,Markovian jump systems
This paper addresses the robust fault detection problem for networked control systems (NCSs). Network-induced uncertainties including time-varying network-induced delay and data packet dropout are assumed to be existing in both sensor-to-controller link and controller-to-actuator link, where the total network-induced delay is longer than one sampling interval. The effect of long delay is transformed into uncertainty of system model, and a two-state Markov chain is utilized to describe the data packet dropout. Then, the NCS with network-induced uncertainties is modelled as a Markovian jump system with model uncertainty. An observer-based fault detection filter is presented to generate the residual signal, and a performance index is proposed to ensure the robustness of the residual signal against network-induced uncertainties and disturbances, and the sensitivity of the residual signal against the faults. A sufficient condition for asymptotically mean-square stable of the residual dynamic system is derived, and the desired robust fault detection filter is established in terms of linear matrix inequality to guarantee that the error between the residual and the weighted faults is made as small as possible. Finally, a numerical example is provided to show the effectiveness of the present approach.
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