Stabilization of linear time-varying descriptor systems by output feedback

Masaki Inoue, Teruyo Wada, Masao Ikeda, Eiho Uezato

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

This paper considers stabilization of linear time-varying descriptor systems by dynamic output feedback. We first introduce a necessary and sufficient condition for stability, which is expressed as solvability of linear matrix differential inequalities. Then, we consider a dynamic output feedback controller and apply the stability condition to the closed-loop system in order to derive a necessary and sufficient condition for stabilizability. The condition is expressed also in terms of linear matrix differential inequalities and a stabilizing controller can be computed by using the solution of the inequalities. Finally, we present a numerical example.

Original languageEnglish
Title of host publication2009 European Control Conference, ECC 2009
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1347-1352
Number of pages6
ISBN (Print)9783952417393
Publication statusPublished - 2014 Mar 26
Externally publishedYes
Event2009 10th European Control Conference, ECC 2009 - Budapest, Hungary
Duration: 2009 Aug 232009 Aug 26

Other

Other2009 10th European Control Conference, ECC 2009
CountryHungary
CityBudapest
Period09/8/2309/8/26

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ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Inoue, M., Wada, T., Ikeda, M., & Uezato, E. (2014). Stabilization of linear time-varying descriptor systems by output feedback. In 2009 European Control Conference, ECC 2009 (pp. 1347-1352). [7074593] Institute of Electrical and Electronics Engineers Inc..