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

10 Citations (Scopus)


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.
Number of pages6
ISBN (Electronic)9783952417379
Publication statusPublished - 2003 Apr 13
Externally publishedYes
Event2003 European Control Conference, ECC 2003 - Cambridge, United Kingdom
Duration: 2003 Sept 12003 Sept 4

Publication series

NameEuropean Control Conference, ECC 2003


Other2003 European Control Conference, ECC 2003
Country/TerritoryUnited Kingdom


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

ASJC Scopus subject areas

  • Control and Systems Engineering


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