Generalized Time-Limited Balanced Reduction Method

Hamid Reza Shaker, Fatemeh Shaker

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

6 Citations (Scopus)

Abstract

In this paper, a new method for model reduction of bilinear systems is presented. The proposed technique is from the family of gramian-based model reduction methods. The method uses time-interval generalized gramians in the reduction procedure rather than the ordinary generalized gramians and in such a way it improves the accuracy of the approximation within the time-interval which the method is applied. The time-interval generalized gramians are the solutions to the generalized time-interval Lyapunov equations. The conditions for these equations to be solvable are derived and an algorithm is proposed to solve these equations iteratively. The method is further illustrated with the help of an example. The numerical results show that the method is more accurate than its previous counterpart which is based on the ordinary gramians.
Original languageEnglish
Title of host publicationProceedings of the American Control Conference, ACC 2013
Number of pages6
PublisherAmerican Automatic Control Council
Publication date2013
Pages5530-5535
ISBN (Print)978-1-4799-0177-7
Publication statusPublished - 2013
Event The 2013 American Control Conference - Washington, United States
Duration: 17 Jun 201319 Jun 2013

Conference

Conference The 2013 American Control Conference
Country/TerritoryUnited States
CityWashington
Period17/06/201319/06/2013
SeriesAmerican Control Conference
ISSN0743-1619

Fingerprint

Dive into the research topics of 'Generalized Time-Limited Balanced Reduction Method'. Together they form a unique fingerprint.

Cite this