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Stability criterion and stabilization of linear time-varying systems

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

Abstract

A sufficient stability test for linear time-varying systems is proposed by constructing a bounding envelope in which the states of the system are guaranteed to reside. Successive approximations using ellipsoids are performed to build the envelope. The proposed stability assessment method is less conservative than the existing ones and the necessity of point-wise Hurwitz condition is bypassed. The proposed sufficient stability conditions have been transformed into constraints on design parameters to design gain-scheduled controllers which stabilize time-varying systems. Examples are given to validate the effectiveness of the proposed algorithm.

Original languageEnglish
Title of host publicationProceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3238-3243
Number of pages6
ISBN (Print)9781424438716
DOIs
StatePublished - 2009
Event48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 - Shanghai, China
Duration: 15 Dec 200918 Dec 2009

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Conference

Conference48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Country/TerritoryChina
CityShanghai
Period15/12/0918/12/09

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