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Article Dans Une Revue Control and Intelligent Systems Année : 2011

MODEL REDUCTION FOR DISCRETE-TIME SWITCHED LINEAR TIME-DELAY SYSTEMS VIA THE H∞ROBUST STABILITY

Résumé

This paper describes the problem of model order-reduction for a class of hybrid switched linear time-delay systems composed of linear discrete-time delayed invariant subsystems with a switching rule. The paper investigates a novel delay term-dependent approach to model reduction. It consists of evaluating the error approximation performance between the original system and the order-reduced system; the stability problem is solved under arbitrary switching rule. The model order-reduction conditions are given in the form of linear matrix inequalities with a term-independent delay. A numerical example shows the effectiveness of the proposed approach.
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Dates et versions

hal-00851904 , version 1 (19-08-2013)

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Abderazik Birouche, Benjamin Mourllion, Michel Basset. MODEL REDUCTION FOR DISCRETE-TIME SWITCHED LINEAR TIME-DELAY SYSTEMS VIA THE H∞ROBUST STABILITY. Control and Intelligent Systems, 2011, 39 (1), pp.1-9. ⟨10.2316/Journal.201.2011.1.201-2245⟩. ⟨hal-00851904⟩
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