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

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

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Abstract

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.

LanguageEnglish
Title of host publication2018 European Control Conference, ECC 2018
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages2616-2622
Number of pages7
ISBN (Electronic)9783952426982
DOIs
StatePublished - 27 Nov 2018
Event16th European Control Conference, ECC 2018 - Limassol, Cyprus
Duration: 12 Jun 201815 Jun 2018

Conference

Conference16th European Control Conference, ECC 2018
CountryCyprus
CityLimassol
Period12/06/1815/06/18

Fingerprint

Model Order Reduction
Uncertain systems
Uncertain Systems
Linear systems
Lemma
Linear Systems
Specifications
Uncertain Parameters
Iterative Procedure
Low Frequency
Continuous Time
Scalar
Specification
Numerical Examples
Range of data
Design

Keywords

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

Cite this

Mazzoccante, G. S., Hilhorst, G., Pipeleers, G., & Oliveira, R. C. L. F. (2018). H∞ model order reduction of uncertain linear systems using generalized KYP Lemma. In 2018 European Control Conference, ECC 2018 (pp. 2616-2622). [8550355] Piscataway: Institute of Electrical and Electronics Engineers. DOI: 10.23919/ECC.2018.8550355
Mazzoccante, Gustavo S. ; Hilhorst, Gijs ; Pipeleers, Goele ; Oliveira, Ricardo C.L.F./ H∞ model order reduction of uncertain linear systems using generalized KYP Lemma. 2018 European Control Conference, ECC 2018. Piscataway : Institute of Electrical and Electronics Engineers, 2018. pp. 2616-2622
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Mazzoccante, GS, Hilhorst, G, Pipeleers, G & Oliveira, RCLF 2018, H∞ model order reduction of uncertain linear systems using generalized KYP Lemma. in 2018 European Control Conference, ECC 2018., 8550355, Institute of Electrical and Electronics Engineers, Piscataway, pp. 2616-2622, 16th European Control Conference, ECC 2018, Limassol, Cyprus, 12/06/18. DOI: 10.23919/ECC.2018.8550355

H∞ model order reduction of uncertain linear systems using generalized KYP Lemma. / Mazzoccante, Gustavo S.; Hilhorst, Gijs; Pipeleers, Goele; Oliveira, Ricardo C.L.F.

2018 European Control Conference, ECC 2018. Piscataway : Institute of Electrical and Electronics Engineers, 2018. p. 2616-2622 8550355.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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AB - 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.

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Mazzoccante GS, Hilhorst G, Pipeleers G, Oliveira RCLF. H∞ model order reduction of uncertain linear systems using generalized KYP Lemma. In 2018 European Control Conference, ECC 2018. Piscataway: Institute of Electrical and Electronics Engineers. 2018. p. 2616-2622. 8550355. Available from, DOI: 10.23919/ECC.2018.8550355