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 publicationIFAC Proceedings Volumes (IFAC-PapersOnline)
Pages51-56
Number of pages6
Volume16
Publication statusPublished - 2005
Externally publishedYes
Event16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005 - Prague
Duration: 2005 Jul 32005 Jul 8

Other

Other16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005
CityPrague
Period05/7/305/7/8

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Keywords

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

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Zhai, G., Yoshida, M., Imae, J., & Kobayashi, T. (2005). Decentralized ℋ2 controller design for descriptor systems: An LMI approach. In IFAC Proceedings Volumes (IFAC-PapersOnline) (Vol. 16, pp. 51-56)

Decentralized ℋ2 controller design for descriptor systems : An LMI approach. / Zhai, Guisheng; Yoshida, Masaharu; Imae, Joe; Kobayashi, Tomoaki.

IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 16 2005. p. 51-56.

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

Zhai, G, Yoshida, M, Imae, J & Kobayashi, T 2005, Decentralized ℋ2 controller design for descriptor systems: An LMI approach. in IFAC Proceedings Volumes (IFAC-PapersOnline). vol. 16, pp. 51-56, 16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005, Prague, 05/7/3.
Zhai G, Yoshida M, Imae J, Kobayashi T. Decentralized ℋ2 controller design for descriptor systems: An LMI approach. In IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 16. 2005. p. 51-56
Zhai, Guisheng ; Yoshida, Masaharu ; Imae, Joe ; Kobayashi, Tomoaki. / Decentralized ℋ2 controller design for descriptor systems : An LMI approach. IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 16 2005. pp. 51-56
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