H tracking of linear systems with stochastic uncert aintiesand preview

Eli Gershon, Uri Shaked, Itzhak Yaesh

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

4 Scopus citations

Abstract

The problem of finite-horizon H tracking for linear continuous time-varying systems with stochastic parameter uncertainties is investigated for both, the state-feedback and the output-feedback control problems. We consider three tracking patterns which include the case where the reference signal is previewed in a fixed time-interv al ahead. In the state-feedback case a game theory approach is applied where the controller plays against nature and where necessary and sufficient conditions are found for the existence of a saddle-point equilibrium. The output-feedback control problem is solv ed as a max-min problem with the application of a bounded real lemma. A simple example demonstrates the theory.

Original languageEnglish
Title of host publicationIFAC Proceedings Volumes (IFAC-PapersOnline)
EditorsGabriel Ferrate, Eduardo F. Camacho, Luis Basanez, Juan. A. de la Puente
PublisherIFAC Secretariat
Pages407-412
Number of pages6
Edition1
ISBN (Print)9783902661746
DOIs
StatePublished - 2002
Event15th World Congress of the International Federation of Automatic Control, 2002 - Barcelona, Spain
Duration: 21 Jul 200226 Jul 2002

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number1
Volume15
ISSN (Print)1474-6670

Conference

Conference15th World Congress of the International Federation of Automatic Control, 2002
Country/TerritorySpain
CityBarcelona
Period21/07/0226/07/02

Keywords

  • Multiplicative uncertainty
  • Preview tracking
  • Stochastic H tracking

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