Model order-reduction for discrete-time switched linear systems

Abderazik Birouche, Benjamin Mourllion and Michel Basset

International Journal of Systems Science, 2012, vol. 43, issue 9, 1753-1763

Abstract: This article describes the problem of model order-reduction for a class of hybrid discrete-time switched linear systems composed of linear discrete-time invariant subsystems with a switching rule. This article investigates two novel approaches to model order-reduction. The first approach consists in evaluating the error approximation performance; the problems are solved using the robust stability results of the switched systems. The second approach presents the reachability and observability Gramians of the switched systems, which allows a balanced truncation model reduction procedure. A numerical example shows the effectiveness of the proposed approaches.

Date: 2012
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DOI: 10.1080/00207721.2011.554911

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