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Type: Conference paper
Title: Model Reduction for Switched Linear Discrete-Time Systems with polytopic uncertainties and arbitrary switching
Author: Zhang, L.
Shi, P.
Basin, M.
Citation: Proceedings of the 17th International Federation of Automatic Control World Congress, 6-11 July 2008 / M. J. Chung, P. Misra (eds.): pp.7666-7671
Publisher: International Federation of Automatic Control (IFAC)
Publisher Place: UK
Issue Date: 2008
ISBN: 9783902661005
ISSN: 1474-6670
Conference Name: The International Federation of Automatic Control World Congress (17th : 2008 : Korea)
Statement of
Lixian Zhang, Peng Shi, Michael V. Basin
Abstract: In this paper, the problem of H-infinity model reduction for switched linear discrete- time systems with polytopic uncertainties is investigated. A reduced-order switched model is constructed for a given robustly stable switched system, which has the same structural polytopic uncertainties as the original system such that the resulting error system is robustly asymptotically stable and an H1 error performance is guaranteed. A sufficient condition for the existence of the desired reduced-order model is derived and formulated in terms of a set of linear matrix inequalities. By solving the corresponding convex optimization problem in such existence condition, the vertex system of reduced-order model can be obtained, which also provides a suboptimal H-infinity gain for the error system between the original system and the reduced-order model. A numerical example is given to show the effectiveness and the potential of the proposed techniques.
Rights: Copyright status unknown
DOI: 10.3182/20080706-5-KR-1001.01296
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