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.


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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