Model reduction for linear switched systems with autonomous switching

Mihaly Petreczky, John-Josef Leth, Rasmus Pedersen, Rafal Wisniewski

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

1 Citation (Scopus)

Abstract

This paper proposes a model reduction algorithm for linear switched systems in continuous-time with autonomous switching. An analytic upper bound on the difference between the responses of the original and the reduced order models is derived. The model reduction algorithm is based on the extension of the idea of balanced truncation. The error bound is a direct extension of the one known for linear systems, and it depends on the singular values of the grammians. The class of linear switched systems considered in this paper includes the well-known class of piecewise-linear systems.

Original languageEnglish
Title of host publication2021 American Control Conference (ACC)
Number of pages7
PublisherIEEE
Publication date28 May 2021
Pages4465-4471
Article number9483120
ISBN (Print)978-1-7281-9704-3
ISBN (Electronic)978-1-6654-4197-1
DOIs
Publication statusPublished - 28 May 2021
Event2021 American Control Conference (ACC) - New Orleans, United States
Duration: 25 May 202128 May 2021

Conference

Conference2021 American Control Conference (ACC)
Country/TerritoryUnited States
CityNew Orleans
Period25/05/202128/05/2021
SeriesAmerican Control Conference
ISSN0743-1619

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