Abderazik Birouche, Benjamin Mourllion, and Michel Basset
Model order-reduction, time delay, robust stability, switched linear time-delay systems, hybrid systems
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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