Model order reduction for linear time delay systems: a delay-dependent approach based on energy functionals

Sajad Naderi Lordejani (Corresponding author), Bart Besselink, Antoine Chaillet, Nathan van de Wouw

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Abstract

This paper proposes a model order reduction technique for asymptotically stable linear time delay systems with point-wise delays. The presented delay-dependent approach, which can be regarded as an extension of existing balancing model order reduction techniques for linear delay-free systems, is based on energy functionals that characterize observability and controllability properties of the time delay system. The reduced model obtained by this approach is an asymptotically stable time delay system of the same type as the original model, meaning that the approach is both stability- and structure-preserving. It also provides an a priori bound on the reduction error, serving as a measure of the reduction accuracy. The effectiveness of the proposed method is illustrated by numerical simulations.

Original languageEnglish
Article number108701
Number of pages10
JournalAutomatica
Volume112
DOIs
Publication statusPublished - Feb 2020

Funding

This research has been carried out in the HYDRA project, which has received funding from the European Union's Horizon 2020 research and innovation program under grant agreement No 675731. The material in this paper was not presented at any conference. This paper was recommended for publication in revised form by Associate Editor Zhiyong Chen under the direction of Editor Richard Middleton

FundersFunder number
European Union 's Horizon 2020 - Research and Innovation Framework Programme
Horizon 2020 Framework Programme675731

    Keywords

    • model reduction
    • time delay systems
    • linear systems
    • functional
    • matrix inequalities
    • balancing

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