Low order H controller design: An LMI approach

Guisheng Zhai, Shinichi Murao, Naoki Koyama, Masaharu Yoshida

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

3 Citations (Scopus)

Abstract

In this paper, we consider the H controller design problem for both continuous-time and discrete-time linear time-invariant (LTI) systems via low order dynamic output feedback controllers. The existence condition of desired H controllers is expressed as a feasibility problem of a bilinear matrix inequality (BMI) with respect to a coefficient matrix defining the controller and a Lya-punov matrix. To solve the BMI, we propose two sufficient conditions which result in linear matrix inequalities (LMIs), by using a block diagonal structure of an equivalent matrix of the Lyapunov matrix in the BMI.

Original languageEnglish
Title of host publicationEuropean Control Conference, ECC 2003
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3070-3075
Number of pages6
ISBN (Print)9783952417379
Publication statusPublished - 2003 Apr 13
Externally publishedYes
Event2003 European Control Conference, ECC 2003 - Cambridge, United Kingdom
Duration: 2003 Sep 12003 Sep 4

Other

Other2003 European Control Conference, ECC 2003
CountryUnited Kingdom
CityCambridge
Period03/9/103/9/4

Fingerprint

Linear matrix inequalities
Controllers
Feedback

Keywords

  • Bilinear matrix inequality (BMI)
  • Dynamic output feedback
  • Linear matrix inequality (LMI)
  • Low order H controller

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Zhai, G., Murao, S., Koyama, N., & Yoshida, M. (2003). Low order H controller design: An LMI approach. In European Control Conference, ECC 2003 (pp. 3070-3075). [7086510] Institute of Electrical and Electronics Engineers Inc..

Low order H controller design : An LMI approach. / Zhai, Guisheng; Murao, Shinichi; Koyama, Naoki; Yoshida, Masaharu.

European Control Conference, ECC 2003. Institute of Electrical and Electronics Engineers Inc., 2003. p. 3070-3075 7086510.

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

Zhai, G, Murao, S, Koyama, N & Yoshida, M 2003, Low order H controller design: An LMI approach. in European Control Conference, ECC 2003., 7086510, Institute of Electrical and Electronics Engineers Inc., pp. 3070-3075, 2003 European Control Conference, ECC 2003, Cambridge, United Kingdom, 03/9/1.
Zhai G, Murao S, Koyama N, Yoshida M. Low order H controller design: An LMI approach. In European Control Conference, ECC 2003. Institute of Electrical and Electronics Engineers Inc. 2003. p. 3070-3075. 7086510
Zhai, Guisheng ; Murao, Shinichi ; Koyama, Naoki ; Yoshida, Masaharu. / Low order H controller design : An LMI approach. European Control Conference, ECC 2003. Institute of Electrical and Electronics Engineers Inc., 2003. pp. 3070-3075
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