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)


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
Number of pages6
Edition1 PART 1
ISBN (Print)9783902661937
Publication statusPublished - 2011
Externally publishedYes

Publication series

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


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

ASJC Scopus subject areas

  • Control and Systems Engineering


Dive into the research topics of 'A straightforward approach to state-space controllers for descriptor systems: H<sub>∞</sub> controller design via LMIs'. Together they form a unique fingerprint.

Cite this