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

Masaki Inoue; Teruyo Wada; Masao Ikeda; Eiho Uezato

doi:10.3182/20110828-6-IT-1002.02309

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 proceeding › Conference 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 language	English
Title of host publication	Proceedings of the 18th IFAC World Congress
Publisher	IFAC Secretariat
Pages	7625-7630
Number of pages	6
Edition	1 PART 1
ISBN (Print)	9783902661937
DOIs	https://doi.org/10.3182/20110828-6-IT-1002.02309
Publication status	Published - 2011
Externally published	Yes

Publication series

Name	IFAC Proceedings Volumes (IFAC-PapersOnline)
Number	1 PART 1
Volume	44
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

Access to Document

10.3182/20110828-6-IT-1002.02309

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 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

A straightforward approach to state-space controllers for descriptor systems: H_∞ controller design via LMIs. / Inoue, Masaki; Wada, Teruyo; Ikeda, Masao et al.
Proceedings of the 18th IFAC World Congress. 1 PART 1. ed. IFAC Secretariat, 2011. p. 7625-7630 (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 44, No. 1 PART 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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