Abstract
In this paper, the problem of finite-time fault detection (FD) is investigated for networked discrete-time singularly perturbed systems under the stochastic communication protocol (SCP). To alleviate the undesired data collisions caused by large-scale data transmissions via the bandwidth-limited communication network, the SCP modeled by a Markov chain is introduced. Due to practical factors such as observation error, the Markov modes of the SCP are assumed to be available to the fault detection filter (FDF) according to a hidden Markov process. Our aim is to design a hidden-Markov-model-based FDF as the residual generator such that the resulting augmented system is stochastically $H_{\infty}$ finite-time bounded. A sufficient condition in terms of linear matrix inequalities (LMIs) is derived which ensures the existence of such an FDF. The parameters of the desired FDF are explicitly given when there exist feasible solutions to these LMIs. Finally, the effectiveness of the FD method is demonstrated by a numerical example.
Published Version
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