Sampled-data control of LTI systems with relays: A convex optimization approach

Laurentiu Hetel*, Emilia Fridman, Thierry Floquet

*Corresponding author for this work

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

Abstract

We consider a generalized class of relay controllers where the system input may take values in a finite set of constant vectors. A simple continuous-time design method is proposed for linear time invariant (LTI) systems. Furthermore, it is used in the sampled-data case in order to guarantee (locally) the practical stabilization to a bounded ellipsoid containing the origin. The sampling intervals may be unknown and time-varying in a given interval. Simple linear matrix inequalities (LMIs) conditions are proposed for checking (local) practical stability.

Original languageEnglish
Title of host publication9th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2013 - Proceedings
PublisherIFAC Secretariat
Pages711-716
Number of pages6
EditionPART 1
ISBN (Print)9783902823472
DOIs
StatePublished - 2013
Event9th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2013 - Toulouse, France
Duration: 4 Sep 20136 Sep 2013

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
NumberPART 1
Volume9
ISSN (Print)1474-6670

Conference

Conference9th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2013
Country/TerritoryFrance
CityToulouse
Period4/09/136/09/13

Keywords

  • Linear matrix inequalities
  • Relay feedback control
  • Sampled-data control
  • Time-varying sampling

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