Constrained control for linear time-varying systems in the presence of disturbances

H. N. Nguyen, S. Olaru, P. O. Gutman, M. Hovd

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

Abstract

The aim of this paper is twofold. In the first part, we revisit the robust invariance for ellipsoidal sets with respect to discrete-time linear time-varying and uncertain systems with bounded additive disturbances. In this context we provide an extension of the invariance condition of the previously published results in the literature. In the second part a novel robust interpolation based control method involving several local unconstrained robust optimal controls is proposed. Among them, one controller plays the role of a performance candidate, while the remaining controllers are used in the interpolation scheme for enlarging the domain of attraction. By using an appropriate objective function, recursive feasibility and a robustly asymptotically stable closed loop behavior are guaranteed.

Original languageEnglish
Title of host publicationIFAC Joint conference SSSC,FDA, TDS - 5th IFAC Symposium on System Structure and Control, SSSC 2013 - Proceedings
PublisherIFAC Secretariat
Pages923-928
Number of pages6
Edition2
ISBN (Print)9783902823250
DOIs
Publication statusPublished - 1 Jan 2013
Externally publishedYes
Event5th IFAC Symposium on System Structure and Control, SSSC 2013 - Grenoble, France
Duration: 4 Feb 20136 Feb 2013

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number2
Volume46
ISSN (Print)1474-6670

Conference

Conference5th IFAC Symposium on System Structure and Control, SSSC 2013
Country/TerritoryFrance
CityGrenoble
Period4/02/136/02/13

Keywords

  • Constrained control
  • Interpolation
  • Invariant set
  • Linear matrix inequality

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