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Delay-dependent robust h-infinity stability for uncertain discrete-time singular system

  • Wu Neng Zhou*
  • , Hong Qian Lu
  • *Corresponding author for this work
  • Donghua University

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper investigates the problem of delay-dependent robust H-infinity stability for uncertain discrete-time singular systems with state delay. The considered systems are not necessarily assumed to be regular and causal. In terms of linear matrix inequality (LMI) approach, a delay-dependent stabilizable criterion is given to ensure the nominal system to be regular, causal and stable. Based on the criterion, the robust H-infinity stabilizable condition for uncertain discrete-time singular time-delay system is obtained. Some numerical examples are provided to demonstrate the efficiency and less conservation of the proposed methods in this paper.

Original languageEnglish
Title of host publicationProceedings of the Sixth International Conference on Machine Learning and Cybernetics, ICMLC 2007
Pages655-659
Number of pages5
DOIs
StatePublished - 2007
Externally publishedYes
Event6th International Conference on Machine Learning and Cybernetics, ICMLC 2007 - Hong Kong, China
Duration: 19 Aug 200722 Aug 2007

Publication series

NameProceedings of the Sixth International Conference on Machine Learning and Cybernetics, ICMLC 2007
Volume2

Conference

Conference6th International Conference on Machine Learning and Cybernetics, ICMLC 2007
Country/TerritoryChina
CityHong Kong
Period19/08/0722/08/07

Keywords

  • Discrete-time singular system
  • Linear matrix inequality (LMI)
  • Robust H-infinity stability
  • Uncertainty

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