Fixed-order H controller design for systems with ellipsoidal parametric uncertainty

Arash Sadeghzadeh, Hamidreza Momeni, Alireza Karimi

Research output: Contribution to journalArticleAcademicpeer-review

18 Citations (Scopus)

Abstract

In this article, fixed-order robust H controller design for systems with ellipsoidal parametric uncertainty based on parameter-dependent Lyapunov functions is studied. Using the concept of Strictly Positive Realness (SPRness) of transfer functions, a fixed-order robust control design method in terms of solution to a set of Linear Matrix Inequalities (LMIs) is proposed. Since controller parameters are decision variables, any controller structure, such as PID, can be considered. The weighted infinity-norm of closed loop sensitivity functions are considered as performance specification in the synthesis problem. The simulation results show the effectiveness of the proposed method.

Original languageEnglish
Pages (from-to)57-65
Number of pages9
JournalInternational Journal of Control
Volume84
Issue number1
DOIs
Publication statusPublished - 1 Jan 2011
Externally publishedYes

Keywords

  • convex optimisation
  • ellipsoidal uncertainty
  • robust control

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