A weak Kalman decomposition approach for reduced realizations of switched linear systems

Md Sumon Hossain, Stephan Trenn*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

2 Citations (Scopus)
61 Downloads (Pure)

Abstract

We propose a novel reduction approach for switched linear systems with a fixed mode sequence based on subspaces related to the (time-varying) reachable and unobservable spaces. These subspaces are defined in such a way that they can be used to construct a weak Kalman decomposition, which is then in turn used to define a reduced switched linear system with an identical input-output behavior. The proposed method is illustrated with a low dimensional academic example.
Original languageEnglish
Title of host publication10th Vienna International Conference on Mathematical Modelling MATHMOD 2022: Vienna Austria, 27–29 July 2022
Subtitle of host publicationProceedings
EditorsAndreas Kugi, Andreas Körner, Wolfgang Kemmetmüller, Andreas Deutschmann-Olek, Felix Breitenecker, Inge Troch
PublisherIFAC
Pages157-162
Number of pages6
DOIs
Publication statusPublished - 23-Sept-2022

Publication series

NameIFAC-PapersOn line
PublisherElsevier
Number20
Volume55
ISSN (Electronic)2405-8963

Fingerprint

Dive into the research topics of 'A weak Kalman decomposition approach for reduced realizations of switched linear systems'. Together they form a unique fingerprint.

Cite this