Multi-objective Synthesis Using LMI Formulations for Application of the Cutting Plane Algorithm

Mohamed Abbas-Turki, Gilles Duc, Benoît Clément

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

The problem of designing a controller to meet different specifications or deciding that no such controller exists is addressed in this paper by linking three types of tools: the Youla parameterization allows searching for a controller in a convex set; formulations using linear matrix inequalities (LMI) are proposed for different practical specifications and the corresponding convex problem is solved using a Cutting Plane Algorithm. Such an approach is developed by overcoming the problem of the huge number of additional variables which often occurs in the LMI framework, particulary when used in conjunction with the Youla parameterization. Its efficiency is discussed by considering two practical control problems.

Original languageEnglish
Pages (from-to)40-56
Number of pages17
JournalEuropean Journal of Control
Volume12
Issue number1
DOIs
Publication statusPublished - 2006
Externally publishedYes

Keywords

  • Cutting plane algorithm
  • KYP Lemma
  • LMI
  • Multiobjective control
  • Youla parameterization

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