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• W1966656489 abstract "In this paper, the problem of exponential H∞ filter problem for a class of discrete-time polytopic uncertain switched linear systems with average dwell time switching is investigated. The exponential stability result of the general discrete-time switched systems using a discontinuous piecewise Lyapunov function approach is first explored. Then, a new µ-dependent approach is proposed, which means the analysis or synthesis of the underlying systems is dependent on the increase degree µ of the piecewise Lyapunov function at the switching instants. A mode-dependent full-order filter is designed such that the developed filter error system is robustly exponentially stable and achieves an exponential H∞ performance. Sufficient existence conditions for the desired filter are derived and formulated in terms of a set of linear matrix inequalities, and consequently the minimal average dwell time and the corresponding filter are obtained from such conditions for a given system decay degree. A numerical example is presented to demonstrate the potential and effectiveness of the developed theoretical results. Copyright © 2007 John Wiley & Sons, Ltd." @default.
• W1966656489 created "2016-06-24" @default.
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• W1966656489 date "2008-07-25" @default.
• W1966656489 modified "2023-09-30" @default.
• W1966656489 title "Exponential<i>H</i>_∞filtering for uncertain discrete‐time switched linear systems with average dwell time: A µ‐dependent approach" @default.
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• W1966656489 doi "https://doi.org/10.1002/rnc.1276" @default.
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