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Periodic orbit analysis of switched linear systems

  • Jing Ya Su*
  • , Xinhua Wang
  • , Kai Yuan Cai
  • *Corresponding author for this work

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

Abstract

This paper focuses on the distribution problem of periodic orbits for a class of switched two-dimensional linear systems. A necessary and sufficient condition is proposed to solve the existence problem of periodic solutions for periodically switched linear systems. Then concerning the dwell time irrelated to the initial condition a periodic orbit continuum appears if and only if a periodic orbit exists. In addition, based on the multi-lyapunov functions, a controller is designed to make the continuum asymptotically stabilize to a periodic orbit. Finally, the theoretical result is explained by a two-DOF manipulator example.

Original languageEnglish
Title of host publicationProceedings of the IEEE International Conference on Automation and Logistics, ICAL 2007
Pages1425-1430
Number of pages6
DOIs
StatePublished - 2007
Event2007 IEEE International Conference on Automation and Logistics, ICAL 2007 - Jinan, China
Duration: 18 Aug 200721 Aug 2007

Publication series

NameProceedings of the IEEE International Conference on Automation and Logistics, ICAL 2007

Conference

Conference2007 IEEE International Conference on Automation and Logistics, ICAL 2007
Country/TerritoryChina
CityJinan
Period18/08/0721/08/07

Keywords

  • Manipulator
  • Periodic orbit
  • Periodically switched linear systems
  • Switched linear systems

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