Robust reduced-order controller synthesis: A dilated LMI approach

Arash Sadeghzadeh

Research output: Contribution to journalArticleAcademicpeer-review

3 Citations (Scopus)


This paper develops a new method for the synthesis of robust reduced-order dynamic output feedback controllers for linear time-invariant systems. H2 and H∞ performance criteria are considered. The method is applicable for both discrete-time and continuous-time systems. The proposed method is based on recently developed extended or dilated linear matrix inequalities (LMIs). A new structure of the slack matrix variables is introduced to obtain an LMI relaxation for the non-convex robust reduced-order controller design problem. The uncertain time-invariant parameters belong to a polytopic domain and affect all the system matrices. Numerical examples demonstrate the effectiveness of the proposed approach.

Original languageEnglish
Pages (from-to)479-499
Number of pages21
JournalIMA Journal of Mathematical Control and Information
Issue number2
Publication statusPublished - Jun 2017
Externally publishedYes


  • dilated linear matrix inequality
  • H and H∞ control
  • polytopic system
  • reduced-order controller


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