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Finite-time boundedness and weighted L2-gain analysis for uncertain switched linear systems with both stable and unstable time-delay subsystems

  • Zhiwei Yu
  • , Shun Wang
  • , Ming Zeng
  • , Yuanhong Liu
  • School of Astronautics, Harbin Institute of Technology
  • Daqing Petroleum Institute

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

Abstract

This paper studies the finite-time boundedness (FTB) and finite-time weighted L2-gain problems for switched systems consisting of both stable and unstable subsystems, the polytopic uncertainties and time-varying delays are also taken into account. A new switching law and a novel binary-switching Lyapunov-Krasovskii functional are invoked at the first attempt to sufficiently exploit the different properties of stable and unstable subsystems. The FTB criteria and a class of less conservative switching signals with average dwell time are firstly derived for the switched linear systems with time-varying delays, upon which, the investigations of finite-time weighted L2-gain performance are then performed. A numerical example is given to illustrate the validity and the advantage of the developed findings.

Original languageEnglish
Title of host publicationProceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2406-2411
Number of pages6
ISBN (Electronic)9781479970179
DOIs
StatePublished - 17 Jul 2015
Externally publishedYes
Event27th Chinese Control and Decision Conference, CCDC 2015 - Qingdao, China
Duration: 23 May 201525 May 2015

Publication series

NameProceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015

Conference

Conference27th Chinese Control and Decision Conference, CCDC 2015
Country/TerritoryChina
CityQingdao
Period23/05/1525/05/15

Keywords

  • Finite-Time Boundedness
  • Finite-Time Weighted L-Gain
  • Switched Systems
  • Time-Varying Delays

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