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Controller Design for Switched LPV Systems with Hidden semi-Markov Mode Switching

  • Jianfeng Wang
  • , Zhiru Chen
  • , Yichong Sun
  • , Zhan Li
  • , Dacheng Pei
  • , Bo Cai
  • China Institute of Marine Technology & Economy
  • Beijing Machine and Equipment Institute
  • Harbin Institute of Technology

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

Abstract

This paper is concerned with issue of stability analysis and control synthesis for a class of switched LPV systems with stochastic mode switching. The stochastic switching process is further regarded as hidden semi-Markov switching by using concepts of semi-Markov kernel and emission probability. With the construction of a novel Lyapunov function that depends on accessible-mode, parameter as well as elapsed time, the mean-square stability (MSS) criteria are developed for the closed-loop system with the usage of designed controller. Numerically testable stability criteria are established in sense of MSS by introducing the upper bound sojourn time and some mathematical techniques. The theoretical results are testified by a numerical example to demonstrate the effectiveness of the designed stabilizing controller.

Original languageEnglish
Title of host publication11th International Conference on Intelligent Control and Information Processing, ICICIP 2021
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages195-201
Number of pages7
ISBN (Electronic)9781665425155
DOIs
StatePublished - 2021
Event11th International Conference on Intelligent Control and Information Processing, ICICIP 2021 - Dali, China
Duration: 3 Dec 20217 Dec 2021

Publication series

Name11th International Conference on Intelligent Control and Information Processing, ICICIP 2021

Conference

Conference11th International Conference on Intelligent Control and Information Processing, ICICIP 2021
Country/TerritoryChina
CityDali
Period3/12/217/12/21

Keywords

  • emission probability
  • hidden semi-Markov
  • mean-square stability
  • semi-Markov kernel
  • switched LPV

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