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Robust H∞ control for uncertain singular systems with state delay and brownian motion

  • Wu Neng Zhou
  • , Ming Hao Li*
  • , Hong Qian Lu
  • , Yu Hua Xu
  • , Ming Jun Wang
  • *Corresponding author for this work
  • Donghua University

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

Abstract

This note deals with the problem of robust H∞ control for uncertain singular stochastic systems with state delay and Brownian motion. The state feedback control laws are designed to guarantee that the resulting closed-loop system is regular, impulse-free and mean-square asymptotically stable for all admissible uncertainties. And a prescribed H∞ performance is achieved in the robust H∞ control problem. This criteria is devised in terms of parameters weak coupled LMI equations (PWCLMIE). At the same time, free-weighting matrices are introduced into PWCLMIE, So we gain control law with large time-delay and small disturbance attenuation. A numerical example is given to demonstrate the effectiveness of the proposed criteria.

Original languageEnglish
Title of host publicationProceedings of the 2009 International Conference on Machine Learning and Cybernetics
Pages1990-1995
Number of pages6
DOIs
StatePublished - 2009
Externally publishedYes
Event2009 International Conference on Machine Learning and Cybernetics - Baoding, China
Duration: 12 Jul 200915 Jul 2009

Publication series

NameProceedings of the 2009 International Conference on Machine Learning and Cybernetics
Volume4

Conference

Conference2009 International Conference on Machine Learning and Cybernetics
Country/TerritoryChina
CityBaoding
Period12/07/0915/07/09

Keywords

  • Linear matrix inequality(LMI)
  • Robust control
  • Singular systems
  • Stochastic systems
  • Uncertain systems

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