Periodic use of time-varying state feedbacks for the receding horizon control of bilinear systems

Young Il Lee, Basil Kouvaritakis, Mark Cannon

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

Abstract

This paper provides a receding horizon control method for bilinear systems in the presence of input constraints. Periodically-invariant sets are derived for a bilinear system with respect to a series of time-varying state feedback gains. The dual-mode control strategy is adopted and the periodically-invariant sets are used as target invariant sets. The state feedback gains used to define the target invariant sets are also used to render degrees of freedom to steer the current state into the target set. The region of attraction for the proposed algorithm is enlarged significantly with an extension of the horizon of periodicity while the on-line computation remains easy to handle.

Original languageEnglish
Title of host publicationProceedings of the 17th World Congress, International Federation of Automatic Control, IFAC
PublisherIFAC Secretariat
Edition1
ISBN (Print)9783902661005
DOIs
StatePublished - 2008
Event17th World Congress, International Federation of Automatic Control, IFAC - Seoul, Korea, Republic of
Duration: 6 Jul 200811 Jul 2008

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number1
Volume17
ISSN (Print)1474-6670

Conference

Conference17th World Congress, International Federation of Automatic Control, IFAC
Country/TerritoryKorea, Republic of
CitySeoul
Period6/07/0811/07/08

Keywords

  • Constrained control
  • LMIs
  • Nonlinear system control

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