μ-Dependent model reduction for uncertain discrete-time switched linear systems with average dwell time

Authors: Zhang, Lixian¹; Boukas, El-Kebir¹; Shi, Peng²

Source: International Journal of Control, Volume 82, Number 2, February 2009 , pp. 378-388(11)

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Abstract:

In this article, the model reduction problem for a class of discrete-time polytopic uncertain switched linear systems with average dwell time switching is investigated. The stability criterion for general discrete-time switched systems is first explored, and a μ-dependent approach is then introduced for the considered systems to the model reduction solution. A reduced-order model is constructed and its corresponding existence conditions are derived via LMI formulation. The admissible switching signals and the desired reduced model matrices are accordingly obtained from such conditions such that the resulting model error system is robustly exponentially stable and has an exponential H∞ performance. A numerical example is presented to demonstrate the potential and effectiveness of the developed theoretical results.

Keywords: average dwell time; linear matrix inequalities; model reduction; switched linear systems

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00207170802126856

Affiliations: 1: Department of Mechanical Engineering, Ecole polytechnique de Montreal, Montreal, Canada 2: Faculty of Advanced Technology, University of Glamorgan, Pontypridd, UK,Logistics and Supply Chain Management, School of Computer Science and Mathematics, Victoria University, Melbourne, Australia,School of Mathematics and Statistics, University

Publication date: 2009-02-01

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