Fixed-order ℋ∞ controller design for MIMO systems via polynomial approach

Bilal Erol, Akın Delibaşı

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)
164 Downloads (Pure)


This paper presents a fixed-order (Formula presented.) H_inf controller design based on linear matrix inequalities for multi-input–multi-output systems. The main difficulty in the development of a fixed-order controller design is that the associated solution set of the problem is defined in a non-convex cluster, and that makes the problem computationally intractable. The convex inner approximation is used to deal with this non-convexity. The proposed controller design approach is applied to some elegant numerical problems taken from various previous works. To show the effectiveness of the proposed method, the full-order H ∞ controller and fixed-order controllers are constructed for these models using the traditional method and popular toolboxes, respectively. Furthermore, in this paper, some strategies for choosing the central polynomial, which is the main conservatism of the proposed method, are discussed.
Original languageEnglish
Pages (from-to)1985-1992
Number of pages8
JournalTransactions of the Institute of Measurement and Control
Issue number7
Early online date20 Aug 2018
Publication statusPublished - 1 Apr 2019
Externally publishedYes

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  • fixed-order controller
  • MIMO systems
  • polynomial approach
  • ℋ controller

ASJC Scopus subject areas

  • Control and Systems Engineering


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