Fixed-order H2 controller design for state space polytopic systems

Arash Sadeghzadeh

Research output: Contribution to journalArticleAcademicpeer-review

7 Citations (Scopus)


In this article, the problem of fixed-order H2 controller design for continuous-time polytopic systems is investigated. It is assumed that the uncertain parameters appear in the state space realization of the system. A convex set of fixed-order H2 controllers is presented by introducing a slack matrix variable which decouples the Lyapunov variables and the controller parameters. Taking advantage of this feature, we can readily design a robust fixed-order controller for a polytopic system with non-common Lyapunov variables. An optimization problem is presented for computing the slack variables using an initial controller selected by the designer. Additionally, to improve the obtained performance, a procedure is provided to reduce the dependency of the method on the initial controller. The design conditions are in terms of solutions to a set of linear matrix inequalities. Numerical examples demonstrate the effectiveness of the proposed approach.

Original languageEnglish
Pages (from-to)316-323
Number of pages8
JournalInternational Journal of Control, Automation and Systems
Issue number2
Publication statusPublished - Apr 2014
Externally publishedYes


  • Fixed-order control design
  • H performance
  • linear matrix inequality (LMI)
  • parametric uncertainty
  • polytopic systems


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