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Fault detection for discrete-time switched systems with intermittent measurements. (English) Zbl 1282.93255

Summary: This article deals with the problem of fault detection for discrete-time switched systems with intermittent measurements. The stochastic variable is assumed to be a Bernoulli distributed white sequence appearing in measured output. Attention is focused on designing a fault detection filter such that, for any control input and unknown inputs, the estimation error between the residual and the fault is minimised in the sense of \(H_{\infty}\)-norm. By employing a Lyapunov-like function and average dwell-time technique, a sufficient condition for the existence of such a filter is exploited in terms of certain linear matrix inequality. Finally, an example is provided to illustrate the effectiveness of the proposed approach.

MSC:

93E11 Filtering in stochastic control theory
93E03 Stochastic systems in control theory (general)
93C55 Discrete-time control/observation systems
93D30 Lyapunov and storage functions
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