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 publicationIFAC Proceedings Volumes (IFAC-PapersOnline)
Pages7625-7630
Number of pages6
Volume18
EditionPART 1
DOIs
Publication statusPublished - 2011
Externally publishedYes
Event18th IFAC World Congress - Milano, Italy
Duration: 2011 Aug 282011 Sep 2

Other

Other18th IFAC World Congress
CountryItaly
CityMilano
Period11/8/2811/9/2

Fingerprint

Linear matrix inequalities
Controllers
Feedback

Keywords

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

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

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 IFAC Proceedings Volumes (IFAC-PapersOnline) (PART 1 ed., Vol. 18, pp. 7625-7630) https://doi.org/10.3182/20110828-6-IT-1002.02309

A straightforward approach to state-space controllers for descriptor systems : H controller design via LMIs. / Inoue, Masaki; Wada, Teruyo; Ikeda, Masao; Uezato, Eiho.

IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 18 PART 1. ed. 2011. p. 7625-7630.

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

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 IFAC Proceedings Volumes (IFAC-PapersOnline). PART 1 edn, vol. 18, pp. 7625-7630, 18th IFAC World Congress, Milano, Italy, 11/8/28. https://doi.org/10.3182/20110828-6-IT-1002.02309
Inoue M, Wada T, Ikeda M, Uezato E. A straightforward approach to state-space controllers for descriptor systems: H controller design via LMIs. In IFAC Proceedings Volumes (IFAC-PapersOnline). PART 1 ed. Vol. 18. 2011. p. 7625-7630 https://doi.org/10.3182/20110828-6-IT-1002.02309
Inoue, Masaki ; Wada, Teruyo ; Ikeda, Masao ; Uezato, Eiho. / A straightforward approach to state-space controllers for descriptor systems : H controller design via LMIs. IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 18 PART 1. ed. 2011. pp. 7625-7630
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