Fault detection for singular networked control systems with randomly occurring delays and partially known distribution transmission delays

Author:

Wang Yanqian12,Zhang Shuyu3,Li Yongbo4,Zhuang Guangming1

Affiliation:

1. School of Automation, Nanjing University of Science and Technology, Nanjing, Jiangsu, China

2. School of Information and Electronic Engineering, Shandong Institute of Business and Technology, Yantai, Shandong, China

3. School of Public Administration, Shandong Institute of Business and Technology, Yantai, Shandong, China

4. College of Engineering, Nanjing Agricultural University, Nanjing, Jiangsu, China

Abstract

In this paper, the fault detection problem is discussed for a class of discrete-time singular networked control systems with randomly occurring delays and network-induced delays. The considered randomly occurring delays include the multiple state delays and the infinite-distributed delay. Both of them are assumed to occur in random ways, which are governed by two independent stochastic variables satisfying the Bernoulli binary distribution. Network-induced delays are modeled as a discrete-time homogeneous Markov chain, and the transition probabilities of the Markov chain are partially known. A stochastic Lyapunov functional is constructed to design a full-order fault detection filter guaranteeing that the fault detection dynamics is stochastically admissible with a prescribed [Formula: see text] performance index. Hence, the fault detection filter design problem is converted into a convex optimization problem in terms of a set of linear matrix inequalities. If these linear matrix inequalities are feasible, the corresponding parameters of the designed fault detection filter are determined. Finally, a numerical example is addressed to demonstrate the effectiveness of the developed method.

Publisher

SAGE Publications

Subject

Instrumentation

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