Decentralized H-infinity control for multi-channel uncertain descriptor systems with time-delay

Ning Chen, Wei Hua Gui, Gui Sheng Zhai

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


A robust decentralized H-infinity control is studied for uncertain multi-channel descriptor systems with time-delay. The uncertainties are assumed to be time-invariant, norm-bounded. A sufficient condition for the uncertain multichannel descriptor time-delay system to be robustly stabilizable with a specified disturbance attenuation level is derived based on the theorem of Lyapunov stability theory in which the Lyapunov-Krasovskii matrix is set to a block diagonal form with compatible order to the controller. This condition is in terms of linear matrix inequalities (LMIs) with a feasible solution. The design of the decentralized H-infinity control with desired order and output feedback is given.

Original languageEnglish
Pages (from-to)669-672
Number of pages4
JournalKongzhi Lilun Yu Yingyong/Control Theory and Applications
Issue number6
Publication statusPublished - 2009 Jun
Externally publishedYes


  • Decentralized H-infinity control
  • Linear matrix inequality
  • Multi-channel descriptor system
  • Time-delay
  • Uncertainty

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering


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