A µ-dependent approach to H∞ control of uncertain switched linear systems with average dwell time
Date
2011
Authors
Zhang, L.
Boukas, E.
Shi, P.
Chen, Z.
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Journal article
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Optimal Control Applications and Methods, 2011; 32(1):15-27
Statement of Responsibility
Lixian Zhang, El-Kebir Boukas, Peng Shi and Zhaobo Chen
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Abstract
<jats:title>Abstract</jats:title><jats:p>This paper concerns<jats:italic>H</jats:italic><jats:sub>∞</jats:sub>control problem for a class of discrete‐time uncertain switched linear systems with average dwell time. The stability result for general discrete‐time switched systems is first explored, and a µ‐dependent approach is then introduced for the considered systems to the<jats:italic>H</jats:italic><jats:sub>∞</jats:sub>controller solution. A mode‐dependent state‐feedback controller is designed such that the resulting closed‐loop system is robust exponentially stable and has a prescribed exponential<jats:italic>H</jats:italic><jats:sub>∞</jats:sub>performance index. The µ‐dependent existence conditions of desired controller and admissible switching signals are derived and formulated in terms of linear matrix inequalities (LMIs). A numerical example is given to demonstrate the effectiveness of the developed theoretical results. Copyright © 2009 John Wiley & Sons, Ltd.</jats:p>
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Copyright © 2009 John Wiley & Sons, Ltd.