Decentralized ℋ2 controller design for descriptor systems: An LMI approach

Guisheng Zhai, Masaharu Yoshida, Joe Imae, Tomoaki Kobayashi

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

Abstract

This paper considers a decentralized ℋ2 control problem for multichannel linear time-invariant (LTI) descriptor systems. Our interest is to design a low order dynamic output feedback controller. The control problem is reduced to a feasibility problem of a bilinear matrix inequality (BMI) with respect to variables of a coefficient matrix defining the controller, a Lyapunov matrix and a matrix related to the descriptor matrix. Under a matching condition between the descriptor matrix and the measurement output matrix (or the control input matrix), we propose to set the Lyapunov matrix in the BMI as block diagonal appropriately so that the BMI is reduced to LMIs.

Original languageEnglish
Title of host publicationProceedings of the 16th IFAC World Congress, IFAC 2005
PublisherIFAC Secretariat
Pages51-56
Number of pages6
ISBN (Print)008045108X, 9780080451084
DOIs
Publication statusPublished - 2005 Jan 1

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Volume16
ISSN (Print)1474-6670

Keywords

  • Bilinear matrix inequality (BMI)
  • Decentralized control
  • Linear matrix inequality (LMI)
  • Multi-channel descriptor system

ASJC Scopus subject areas

  • Control and Systems Engineering

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    Zhai, G., Yoshida, M., Imae, J., & Kobayashi, T. (2005). Decentralized ℋ2 controller design for descriptor systems: An LMI approach. In Proceedings of the 16th IFAC World Congress, IFAC 2005 (pp. 51-56). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 16). IFAC Secretariat. https://doi.org/10.3182/20050703-6-cz-1902.01549