Du, Dongsheng; Jiang, Bin; Shi, Peng Fault detection for discrete-time switched systems with intermittent measurements. (English) Zbl 1282.93255 Int. J. Control 85, No. 1, 78-87 (2012). 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. Cited in 23 Documents 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 Keywords:fault detection; linear matrix inequality; intermittent measurements; switched systems PDF BibTeX XML Cite \textit{D. Du} et al., Int. J. Control 85, No. 1, 78--87 (2012; Zbl 1282.93255) Full Text: DOI OpenURL References: [1] Chen J, Robust Model-based Fault Diagnosis for Dynamic Systems (1999) · Zbl 0920.93001 [2] DOI: 10.1002/1099-1115(200011)14:7<725::AID-ACS618>3.0.CO;2-Q · Zbl 0983.93016 [3] Ding Q, International Journal of Innovative Computing, Information and Control 6 pp 995– (2010) [4] Doucet A, Sequential Monte Carlo Methods in Practice (2001) [5] DOI: 10.1109/TAC.2007.902777 · Zbl 1366.93652 [6] DOI: 10.1016/S0959-1524(97)00016-4 [7] DOI: 10.1080/00207170701684823 · Zbl 1152.93346 [8] DOI: 10.1109/TFUZZ.2008.924206 [9] Hespanha, JP and Morse, AS. 1999. Stability of Switched Systems with Average Dwell Time. Proceedings of the 38th Conference on Decision Control. 1999. pp.2655–2660. Phoenix, AZ [10] DOI: 10.1080/00207720310001601037 · Zbl 1041.93051 [11] DOI: 10.1109/TAES.2008.4655354 [12] Rajeev, A and George, P. 2004. Hybrid Systems: Computation and Control. Proceedings of the 7th International Workshop. 2004. 25–27 March. Philadelphia, PA, USA [13] Rolf I, Fault-dIagnosis Systems: An Introduction from Fault Detection to Fault Tolerance (2006) [14] DOI: 10.1109/TAC.1987.1104616 · Zbl 0611.93039 [15] Wang Z, IEEE Transactions on Systems, Man and Cybernetics, Part B: Cybernetics 51 pp 320– (2004) [16] Wang Y, International Journal of Innovative Computing, Information and Control 6 pp 387– (2010) [17] DOI: 10.1109/TSMCB.2007.896412 [18] DOI: 10.1080/00207170801993579 · Zbl 1154.93372 [19] DOI: 10.1080/00207170802566606 · Zbl 1168.93401 [20] DOI: 10.1109/TSMCB.2010.2099653 [21] Yusof R, ICIC Express Letters 4 pp 1811– (2010) [22] Zhai, G, Sun, Y, Chen, X and Michel, AN. 2003. Stability andL2Gain Analysis for Switched Symmetric Systems with Time Delay. Proceedings of the 2003 American Control Conference. June2003. pp.4–6. Denver [23] DOI: 10.1016/j.automatica.2010.02.021 · Zbl 1191.93068 [24] DOI: 10.1109/7.722715 [25] DOI: 10.1109/TAC.2008.2010891 · Zbl 1367.93594 [26] DOI: 10.1080/00207170701377113 · Zbl 1133.93316 [27] DOI: 10.1016/j.sysconle.2007.08.011 · Zbl 1137.93051 [28] DOI: 10.1109/TFUZZ.2009.2014860 [29] DOI: 10.1016/S0005-1098(02)00269-8 · Zbl 1036.93061 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.