An extended model order reduction technique for linear delay systems

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Abstract

This paper presents a model reduction technique for linear delay differential equations that, first, preserves the infinite-dimensional nature of the system, and, second, enables the preservation of additional properties such as physical interconnection structures or uncertainties. This structured/robust reduction of delay systems is achieved by allowing additional degrees of freedom in the characterization of (bounds on) controllability and observability energy functionals, leading to a so-called extended balancing procedure. In addition, the proposed technique preserves stability properties and provides an a priori error bound. The relevance of the method in controller reduction is discussed and illustrative numerical examples are presented.

Original languageEnglish
Title of host publication58th IEEE Conference on Decision and Control (CDC 2019)
PublisherInstitute of Electrical and Electronics Engineers
Pages7782-7787
Number of pages6
ISBN (Electronic)978-1-7281-1398-2
DOIs
Publication statusPublished - Dec 2019
Event58th IEEE Conference on Decision and Control, (CDC2019) - Nice, France
Duration: 11 Dec 201913 Dec 2019
https://cdc2019.ieeecss.org/

Conference

Conference58th IEEE Conference on Decision and Control, (CDC2019)
Abbreviated titleCDC2019
CountryFrance
CityNice
Period11/12/1913/12/19
Internet address

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