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Article: A novel H∞ tracking control scheme for periodic piecewise time-varying systems

TitleA novel H∞ tracking control scheme for periodic piecewise time-varying systems
Authors
Issue Date2019
PublisherElsevier Inc. The Journal's web site is located at http://www.elsevier.com/locate/ins
Citation
Information Sciences, 2019, v. 484, p. 71-83 How to Cite?
AbstractIn this work, a novel H∞ tracking control scheme is designed for a class of periodic piecewise systems with time-varying subsystems. The reference model is a periodic piecewise linear system that allows the existence of unstable subsystems. Based on periodically time-varying Lyapunov functions, a sufficient condition is proposed to guarantee the exponential stability of augmented tracking system in the H∞ sense. Taking advantage of the negative definiteness property of a type of matrix polynomials, an H∞ state tracking controller with periodically time-varying gains is provided via a series of continuous matrix functions, which can be efficiently online computed by the solutions of straightforward convex optimization. Numerical simulations are presented to demonstrate the effectiveness of the proposed scheme.
Persistent Identifierhttp://hdl.handle.net/10722/267409
ISSN
2017 Impact Factor: 4.305
2015 SCImago Journal Rankings: 2.513

 

DC FieldValueLanguage
dc.contributor.authorXIE, X-
dc.contributor.authorLam, J-
dc.contributor.authorLi, P-
dc.date.accessioned2019-02-18T09:01:25Z-
dc.date.available2019-02-18T09:01:25Z-
dc.date.issued2019-
dc.identifier.citationInformation Sciences, 2019, v. 484, p. 71-83-
dc.identifier.issn0020-0255-
dc.identifier.urihttp://hdl.handle.net/10722/267409-
dc.description.abstractIn this work, a novel H∞ tracking control scheme is designed for a class of periodic piecewise systems with time-varying subsystems. The reference model is a periodic piecewise linear system that allows the existence of unstable subsystems. Based on periodically time-varying Lyapunov functions, a sufficient condition is proposed to guarantee the exponential stability of augmented tracking system in the H∞ sense. Taking advantage of the negative definiteness property of a type of matrix polynomials, an H∞ state tracking controller with periodically time-varying gains is provided via a series of continuous matrix functions, which can be efficiently online computed by the solutions of straightforward convex optimization. Numerical simulations are presented to demonstrate the effectiveness of the proposed scheme.-
dc.languageeng-
dc.publisherElsevier Inc. The Journal's web site is located at http://www.elsevier.com/locate/ins-
dc.relation.ispartofInformation Sciences-
dc.titleA novel H∞ tracking control scheme for periodic piecewise time-varying systems-
dc.typeArticle-
dc.identifier.emailLam, J: jlam@hku.hk-
dc.identifier.authorityLam, J=rp00133-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.ins.2019.01.069-
dc.identifier.hkuros296887-
dc.identifier.volume484-
dc.identifier.spage71-
dc.identifier.epage83-
dc.publisher.placeUnited States-

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