H∞ model order reduction of uncertain linear systems using generalized KYP Lemma

Gustavo S. Mazzoccante, Gijs Hilhorst, Goele Pipeleers, Ricardo C.L.F. Oliveira

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This article presents a new LMI-based approach for the \mathcal{H-{\infty}} model order reduction problem of continuous-time uncertain linear systems over frequency ranges. Differently from the previous methods in the literature, the approach is specially developed to treat uncertain systems, being able not only to reduce the order of the system, but to remove uncertain parameters. By means ofthe generalized Kalman-Yakubovich-Popov (gKYP) Lemma design conditions are provided in terms of LMIs relaxations associated to scalar searches and iterative procedures to assess low-frequency specifications. Numerical examples from the literature are used to illustrate the potentialities of the proposed approach when compared to existing methods.

Original languageEnglish
Title of host publication2018 European Control Conference, ECC 2018
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Number of pages7
ISBN (Electronic)9783952426982
Publication statusPublished - 27 Nov 2018
Event16th European Control Conference, ECC 2018 - Limassol, Cyprus, Limassol, Cyprus
Duration: 12 Jun 201815 Jun 2018
Conference number: 16


Conference16th European Control Conference, ECC 2018
Abbreviated titleECC 2018


  • finite frequency
  • H∞ norm
  • KYP
  • LMI relaxations
  • Model reduction
  • uncertain linear systems


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