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Gramian based approach to model order-reduction for discrete-time switched linear systems

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4 Author(s)
Abderazik Birouche ; Laboratoire Modélisation, Intelligence, Processus et Systèmes, MIPS, EA 2332 / Equipe MIAM-UHA, ENSISA, 12 rue des Frères Lumière, 68093 Mulhouse Cedex, France ; Jérôme Guillet ; Benjamin Mourllion ; Michel Basset

This paper describes the problem of model orderreduction for a class of hybrid discrete-time switched linear systems composed of linear discrete-time invariant subsystems with a switching rule. The paper investigates a novel method to model reduction. The approach presents the reachability and observability Gramians of the switched systems, which allows a balanced truncation model reduction procedure. The error limit depends on the truncated singular values and balanced truncation procedure helps to keep the biggest singular values of the system. A numerical example shows the effectiveness of the proposed approach.

Published in:

Control & Automation (MED), 2010 18th Mediterranean Conference on

Date of Conference:

23-25 June 2010