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https://hdl.handle.net/2440/83336
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Type: | Journal article |
Title: | A µ-dependent approach to H∞ control of uncertain switched linear systems with average dwell time |
Other Titles: | A mu-dependent approach to Hinfinity control of uncertain switched linear systems with average dwell time |
Author: | Zhang, L. Boukas, E. Shi, P. Chen, Z. |
Citation: | Optimal Control Applications and Methods, 2011; 32(1):15-27 |
Publisher: | John Wiley & Sons Ltd |
Issue Date: | 2011 |
ISSN: | 0143-2087 1099-1514 |
Statement of Responsibility: | Lixian Zhang, El-Kebir Boukas, Peng Shi and Zhaobo Chen |
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> |
Keywords: | average dwell time H∞ control linear matrix inequalities switched linear systems |
Rights: | Copyright © 2009 John Wiley & Sons, Ltd. |
DOI: | 10.1002/oca.919 |
Published version: | http://dx.doi.org/10.1002/oca.919 |
Appears in Collections: | Aurora harvest 4 Electrical and Electronic Engineering publications |
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