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Non-fragile H control with randomly occurring gain variations

  • Zhen'na Li
  • , Zidong Wang
  • , Liang Hu
  • , Huisheng Shu
  • Donghua University
  • Brunel University London

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

Abstract

In this paper, the non-fragile H control problem is investigated for a class of discrete-time systems with randomly occurring gain variations (ROGVs). ROGVs, which describe the new network-induced phenomenon of a controller gain appearing in a random way, are modeled by a Bernoulli distributed white sequence with a known conditional probability. We aim to analyze and design a non-fragile H output-feedback controller such that the closed-loop control system is stochastically stable while the desired H performance is guaranteed. Intensive stochastic analysis is carried out to obtain sufficient conditions for ensuring the stochastic stability as well as prescribed H disturbance-rejection attenuation. The controller design issue is then casted into a convex optimization one solvable by the semi-definite programme method. The effectiveness of the proposed method is demonstrated in the numerical example.

Original languageEnglish
Title of host publicationICAC 2014 - Proceedings of the 20th International Conference on Automation and Computing
Subtitle of host publicationFuture Automation, Computing and Manufacturing
EditorsXichun Luo, Yi Cao, Zhen Tong
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages9-13
Number of pages5
ISBN (Electronic)9781909522022
DOIs
StatePublished - 24 Oct 2014
Externally publishedYes
Event20th International Conference on Automation and Computing, ICAC 2014 - Cranfield, United Kingdom
Duration: 12 Sep 201413 Sep 2014

Publication series

NameICAC 2014 - Proceedings of the 20th International Conference on Automation and Computing: Future Automation, Computing and Manufacturing

Conference

Conference20th International Conference on Automation and Computing, ICAC 2014
Country/TerritoryUnited Kingdom
CityCranfield
Period12/09/1413/09/14

Keywords

  • Non-fragile H control
  • networked control systems
  • randomly occurring gain variations

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