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https://hdl.handle.net/2440/82498
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Type: | Journal article |
Title: | Exponential H∞ filtering for uncertain discrete-time switched linear systems with average dwell time: A µ-dependent approach |
Other Titles: | Exponential H infinity filtering for uncertain discrete-time switched linear systems with average dwell time: A Mu-dependent approach |
Author: | Zhang, L. Boukas, E. Shi, P. |
Citation: | International Journal of Robust and Nonlinear Control, 2008; 18(11):1188-1207 |
Publisher: | John Wiley & Sons Ltd |
Issue Date: | 2008 |
ISSN: | 1049-8923 1099-1239 |
Statement of Responsibility: | Lixian Zhang, El-Kebir Boukas and Peng Shi |
Abstract: | <jats:title>Abstract</jats:title><jats:p>In this paper, the problem of exponential <jats:italic>H</jats:italic><jats:sub>∞</jats:sub> 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‐<jats:italic>dependent</jats:italic> 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 <jats:italic>H</jats:italic><jats:sub>∞</jats:sub> 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.</jats:p> |
Keywords: | average dwell time H∞ filtering linear matrix inequalities switched linear systems |
Rights: | Copyright © 2007 John Wiley & Sons, Ltd. |
DOI: | 10.1002/rnc.1276 |
Published version: | http://dx.doi.org/10.1002/rnc.1276 |
Appears in Collections: | Aurora harvest Electrical and Electronic Engineering publications |
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