Non-fragile H filtering for Markov jump systems with incomplete transition probabilities and intermittent measurements

Shen Yan, Mouquan Shen, Li Wei Li, Bo Chao Zheng

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

1 Scopus citations

Abstract

This paper studies the non-fragile H filtering for Markov jump systems with incomplete transition probabilities and intermittent measurements. The transition probabilities are assumed to be known, uncertain but with accessible bounds and completely unknown. The missing measurement among the plant and the filter is described by a stochastic variable following the Bernoulli random binary distribution. Resorting to Lyapunov theory, sufficient conditions for the designed filter with norm- bounded uncertainties are formed in a set of linear matrix inequalities. Then the closed-loop filtering error system is guaranteed to be stochastically stable with prescribed H performance. Finally, simulations show the validity of the proposed method.

Original languageEnglish
Title of host publicationProceedings of the 30th Chinese Control and Decision Conference, CCDC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2133-2138
Number of pages6
ISBN (Electronic)9781538612439
DOIs
StatePublished - 6 Jul 2018
Event30th Chinese Control and Decision Conference, CCDC 2018 - Shenyang, China
Duration: 9 Jun 201811 Jun 2018

Publication series

NameProceedings of the 30th Chinese Control and Decision Conference, CCDC 2018

Conference

Conference30th Chinese Control and Decision Conference, CCDC 2018
Country/TerritoryChina
CityShenyang
Period9/06/1811/06/18

Keywords

  • H control
  • Markov jump systems
  • intermittent measurements
  • non-fragile

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