A straightforward approach to state-space controllers for descriptor systems: H controller design via LMIs

Masaki Inoue, Teruyo Wada, Masao Ikeda, Eiho Uezato

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

1 Citation (Scopus)

Abstract

This paper proposes a straightforward approach to direct design of state-space controllers for descriptor systems. The term "direct design" is used to distinguish the idea of this paper from the usual way through descriptor-type controllers, which has been extensively developed for these two decades. A necessary and sufficient condition is derived for the existence of a strictly proper state-space output feedback controller which makes the closed-loop descriptor system regular, impulse-free, stable, and its H norm less than a specified value. The condition is expressed in terms of linear matrix inequalities (LMIs) and their solutions give coefficient matrices of the state-space H controllers.

Original languageEnglish
Title of host publicationProceedings of the 18th IFAC World Congress
PublisherIFAC Secretariat
Pages7625-7630
Number of pages6
Edition1 PART 1
ISBN (Print)9783902661937
DOIs
Publication statusPublished - 2011 Jan 1
Externally publishedYes

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number1 PART 1
Volume44
ISSN (Print)1474-6670

Keywords

  • Descriptor systems
  • Dynamic output feedback
  • Linear matrix inequalities (LMIs)
  • State-space controllers

ASJC Scopus subject areas

  • Control and Systems Engineering

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    Inoue, M., Wada, T., Ikeda, M., & Uezato, E. (2011). A straightforward approach to state-space controllers for descriptor systems: H controller design via LMIs. In Proceedings of the 18th IFAC World Congress (1 PART 1 ed., pp. 7625-7630). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 44, No. 1 PART 1). IFAC Secretariat. https://doi.org/10.3182/20110828-6-IT-1002.02309