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Article: KYP lemma for cone-preserving systems and its applications to controller design

TitleKYP lemma for cone-preserving systems and its applications to controller design
Authors
Lu, XiujuanChen, YingZhu, BohaoShen, JunDu, BaozhuChen, YonghuaLam, James
KeywordsAlgebra
Cone invariance
H∞ control
KYP Lemma
Linear matrix inequalities
Linear matrix inequality
Linear systems
Programming
Second-order cone
Solids
Stabilization
Symmetric matrices
Vectors
Issue Date2-Jul-2024
PublisherInstitute of Electrical and Electronics Engineers
Citation
IEEE Transactions on Automatic Control, 2024, p. 1-8 How to Cite?
DOI: http://dx.doi.org/10.1109/TAC.2024.3421808
Abstract

This paper presents a new version of the Kalman Yakubovich-Popov (KYP) Lemma for linear systems with their states constrained in proper cones. Based on this lemma, two important applications are introduced. One is the stabilization controller design to satisfy the spectral radius performance while preserving cone invariance. The other is to obtain an H∞ state-feedback controller such that both H∞ performance and cone invariance are guaranteed. Moreover, to address these two problems, a practical algorithm based on the linear matrix inequality is provided. Finally, two numerical examples on a linear system defined in the second-order cone are used to illustrate the results.


Persistent Identifierhttp://hdl.handle.net/10722/347839
ISSN
0018-9286
2023 Impact Factor: 6.2
2023 SCImago Journal Rankings: 4.501

 

DC FieldValueLanguage
dc.contributor.authorLu, Xiujuan-
dc.contributor.authorChen, Ying-
dc.contributor.authorZhu, Bohao-
dc.contributor.authorShen, Jun-
dc.contributor.authorDu, Baozhu-
dc.contributor.authorChen, Yonghua-
dc.contributor.authorLam, James-
dc.date.accessioned2024-10-01T00:30:38Z-
dc.date.available2024-10-01T00:30:38Z-
dc.date.issued2024-07-02-
dc.identifier.citationIEEE Transactions on Automatic Control, 2024, p. 1-8-
dc.identifier.issn0018-9286-
dc.identifier.urihttp://hdl.handle.net/10722/347839-
dc.description.abstract<p>This paper presents a new version of the Kalman Yakubovich-Popov (KYP) Lemma for linear systems with their states constrained in proper cones. Based on this lemma, two important applications are introduced. One is the stabilization controller design to satisfy the spectral radius performance while preserving cone invariance. The other is to obtain an H∞ state-feedback controller such that both H∞ performance and cone invariance are guaranteed. Moreover, to address these two problems, a practical algorithm based on the linear matrix inequality is provided. Finally, two numerical examples on a linear system defined in the second-order cone are used to illustrate the results.</p>-
dc.languageeng-
dc.publisherInstitute of Electrical and Electronics Engineers-
dc.relation.ispartofIEEE Transactions on Automatic Control-
dc.subjectAlgebra-
dc.subjectCone invariance-
dc.subjectH∞ control-
dc.subjectKYP Lemma-
dc.subjectLinear matrix inequalities-
dc.subjectLinear matrix inequality-
dc.subjectLinear systems-
dc.subjectProgramming-
dc.subjectSecond-order cone-
dc.subjectSolids-
dc.subjectStabilization-
dc.subjectSymmetric matrices-
dc.subjectVectors-
dc.titleKYP lemma for cone-preserving systems and its applications to controller design-
dc.typeArticle-
dc.identifier.doi10.1109/TAC.2024.3421808-
dc.identifier.scopuseid_2-s2.0-85197550663-
dc.identifier.spage1-
dc.identifier.epage8-
dc.identifier.eissn1558-2523-
dc.identifier.issnl0018-9286-

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