Interpolation based control for constrained linear time-varying or uncertain systems in the presence of disturbances

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Abstract

In this paper, the robust control of constrained discrete-time linear time-varying or uncertain systems affected by bounded additive disturbance is considered. The main idea is to use an interpolation technique between several local unconstrained robust optimal controls. From the implementation point of view, the scheme is shown to be computationally attractive, at each time instant a quadratic programming (QP) problem being solved on-line. The proofs of recursive feasibility of the optimization procedure and ISS stability of the closed loop system are given.

Original languageEnglish
Title of host publicationNMPC'12 - IFAC Conference on Nonlinear Model Predictive Control, Conference Program
PublisherIFAC Secretariat
Pages169-174
Number of pages6
Edition17 PART 1
ISBN (Print)9783902823076
DOIs
Publication statusPublished - 1 Jan 2012
Externally publishedYes
Event4th IFAC Conference on Nonlinear Model Predictive Control, NMPC'12 - Noordwijkerhout, Netherlands
Duration: 23 Aug 201227 Aug 2012

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number17 PART 1
Volume45
ISSN (Print)1474-6670

Conference

Conference4th IFAC Conference on Nonlinear Model Predictive Control, NMPC'12
Country/TerritoryNetherlands
CityNoordwijkerhout
Period23/08/1227/08/12

Keywords

  • Interpolation based control
  • Invariant set
  • Iss stability
  • Quadratic programming

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