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Guo, Pengfei; Zhang, Jie; Karimi, Hamid Reza; Liu, Yurong; Wang, Yunji; Bo, Yuming

Fault detection for wireless networked control systems with stochastic switching topology and time delay. (English) Zbl 1406.93104

Abstr. Appl. Anal. 2014, Article ID 879085, 13 p. (2014).
Summary: This paper deals with the fault detection problem for a class of discrete-time wireless networked control systems described by switching topology with uncertainties and disturbances. System states of each individual node are affected not only by its own measurements, but also by other nodes’ measurements according to a certain network topology. As the topology of system can be switched in a stochastic way, we aim to design \(H_\infty\) fault detection observers for nodes in the dynamic time-delay systems. By using the Lyapunov method and stochastic analysis techniques, sufficient conditions are acquired to guarantee the existence of the filters satisfying the \(H_\infty\) performance constraint, and observer gains are derived by solving linear matrix inequalities. Finally, an illustrated example is provided to verify the effectiveness of the theoretical results.

MSC:

93B36 \(H^\infty\)-control
93E03 Stochastic systems in control theory (general)
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
93C55 Discrete-time control/observation systems
93C41 Control/observation systems with incomplete information

Keywords:

wireless networked control systems; fault detection; stochastic switching topology
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\textit{P. Guo} et al., Abstr. Appl. Anal. 2014, Article ID 879085, 13 p. (2014; Zbl 1406.93104)
Full Text: DOI

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