H1 Admissibility of Singular Stochastic Systems with Markovian Switching and Partly Unknown Transition Rates

Chan Eun Park, Poo Gyeon Park

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

Abstract

In this paper, we consider {\mathcal{H}_\infty }admissibility of singular stochastic systems with Markovian switching (SSMS) with partly unknown transition rates (PUTR). Until now, {\mathcal{H}_\infty }admissibility condition for SSMS have been studied for the limited cases: 1) SSMS which do not have a path from disturbances to the desired output, 2) the sufficient condition for the general SSMS. On the other hand, the authors successfully obtain the equivalent condition of {\mathcal{H}_\infty }admissibility criterion for SSMSs by introducing two slack variables. Also, because the proposed condition is expressed in terms of convex condition, i.e., linear matrix inequalities (LMIs), the result can be used to find the optimal {\mathcal{H}_\infty }performance even though the information about the transition rates is limited.

Original languageEnglish
Title of host publication17th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, ECTI-CON 2020
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages800-803
Number of pages4
ISBN (Electronic)9781728164861
DOIs
StatePublished - Jun 2020
Event17th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, ECTI-CON 2020 - Virtual, Online, Thailand
Duration: 24 Jun 202027 Jun 2020

Publication series

Name17th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, ECTI-CON 2020

Conference

Conference17th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, ECTI-CON 2020
Country/TerritoryThailand
CityVirtual, Online
Period24/06/2027/06/20

Keywords

  • Hstability
  • Markov switching
  • Singular system
  • stochastic system
  • switching system

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