Model Reduction via Truncated Cross-Gramian for Bilinear Systems

Maryamsadat Tahavori*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Abstract

In this work, we present a new cross-gramian. The proposed gramian is a truncated gramian which supports bilinear systems. It is proven that the truncated cross-gramian can be obtained by solving ordinary Sylvester equation. It is computationally less expensive to compute the truncated cross-gramian compared to the standard cross-gramians which are solutions to the generalized Sylvester equations. A projection based model reduction method is proposed based upon the truncated crossgramian. The proposed method is among the first cross-gramian based methods - if not the only one- which is developed for bilinear systems. This model reduction is computationally more efficient than model reduction techniques which are derived from standard gramains or the truncated controllability and observability gramians.
Original languageEnglish
Title of host publication2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI)
Number of pages5
PublisherIEEE
Publication date2021
ISBN (Electronic)978-1-6654-4171-1
DOIs
Publication statusPublished - 2021
Event2021 International Conference on Recent Advances in Mathematics and Informatics - Tebessa, Algeria
Duration: 21 Sep 202122 Sep 2021

Conference

Conference2021 International Conference on Recent Advances in Mathematics and Informatics
Country/TerritoryAlgeria
CityTebessa
Period21/09/202122/09/2021

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