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

Abderazik Birouche, Benjamin Mourllion, and Michel Basset

Keywords

Model orderreduction, time delay, robust stability, switched linear timedelay systems, hybrid systems

Abstract

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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