Robust decentralized H∞ control of multi-channel discrete-time descriptor systems with time-delay

Ning Chen, Guisheng Zhai, Weihua Gui

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

This paper considers a robust decentralized H∞ control problem for uncertain multi-channel discrete-time descriptor systems with time-delay. The uncertainties are assumed to be time-invariant, norm-bounded, and exist in the system, time-delay and output matrices. Our interest is focused on dynamic output feedback. A sufficient condition for the uncertain multi-channel discrete-time descriptor system with time-delay to be admissible with a specified disturbance attenuation level is derived based on Lya-punov stability theory. By setting the Lyapunov matrix as block diagonal appropriately according to the desired order of the controller, the problem is reduced to linear matrix inequalities which are sufficient to the existence condition but much more tractable.

Original languageEnglish
Pages (from-to)971-979
Number of pages9
JournalInternational Journal of Innovative Computing, Information and Control
Volume5
Issue number4
Publication statusPublished - 2009 Apr
Externally publishedYes

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Time delay
Linear matrix inequalities
Feedback
Controllers

Keywords

  • Decentralized H∞ control
  • Linear matrix inequality
  • Multi-channel discrete-time descriptor system
  • Time-delay
  • Uncertainty

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Information Systems
  • Software
  • Theoretical Computer Science

Cite this

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AB - This paper considers a robust decentralized H∞ control problem for uncertain multi-channel discrete-time descriptor systems with time-delay. The uncertainties are assumed to be time-invariant, norm-bounded, and exist in the system, time-delay and output matrices. Our interest is focused on dynamic output feedback. A sufficient condition for the uncertain multi-channel discrete-time descriptor system with time-delay to be admissible with a specified disturbance attenuation level is derived based on Lya-punov stability theory. By setting the Lyapunov matrix as block diagonal appropriately according to the desired order of the controller, the problem is reduced to linear matrix inequalities which are sufficient to the existence condition but much more tractable.

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