Decentralized H∞ controller design for descriptor systems

Guisheng Zhai, Naoki Koyama, Masaharu Yoshida

Research output: Contribution to journalConference articlepeer-review

1 Citation (Scopus)


This paper considers a decentralized H∞, 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. There is no globally effective method for solving general BMIs. In this paper, 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
Pages (from-to)303-308
Number of pages6
JournalIFAC Proceedings Volumes (IFAC-PapersOnline)
Issue number11
Publication statusPublished - 2004
Externally publishedYes
Event10th IFAC/IFORS/IMACS/IFIP Symposium on Large Scale Systems: Theory and Applications, LSS 2004 - Osaka, Japan
Duration: 2004 Jul 262004 Jul 28


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

ASJC Scopus subject areas

  • Control and Systems Engineering


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