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Article: A Novel Scheme of Non-fragile Controller Design for Periodic Piecewise LTV Systems
Title | A Novel Scheme of Non-fragile Controller Design for Periodic Piecewise LTV Systems |
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Authors | |
Keywords | Perturbation methods Control systems Symmetric matrices Time-varying systems Additives |
Issue Date | 2020 |
Publisher | Institute of Electrical and Electronics Engineers. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=41 |
Citation | IEEE Transactions on Industrial Electronics, 2020, v. 67 n. 12, p. 10766-10775 How to Cite? |
Abstract | In this paper, a novel non-fragile controller design scheme is developed for a class of periodic piecewise systems with linear time-varying (LTV) subsystems. Two types of norm-bounded controller perturbations, including additive and multiplicative ones, are considered and partially characterized by periodic piecewise time-varying parameters. Using a new matrix polynomial lemma, the problems of non-fragile controller synthesis for periodic piecewise time-varying systems (PPTVSs) are made amenable to convex optimization based on the favorable property of a class of matrix polynomials. Depending on selectable divisions of subintervals, sufficient conditions of the stability and non-fragile controller design are proposed for PPTVSs. Case studies based on a multi-input multi-output (MIMO) PPTVS and a mass-spring-damper system show that the proposed control schemes can effectively guarantee the close-loop stability and accelerate the convergence under controller perturbations, with more flexible periodic time-varying controller gains than those obtained by the existing methods. |
Persistent Identifier | http://hdl.handle.net/10722/282937 |
ISSN | 2023 Impact Factor: 7.5 2023 SCImago Journal Rankings: 3.395 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Xie, X | - |
dc.contributor.author | Lam, J | - |
dc.contributor.author | Kwok, KW | - |
dc.date.accessioned | 2020-06-05T06:23:16Z | - |
dc.date.available | 2020-06-05T06:23:16Z | - |
dc.date.issued | 2020 | - |
dc.identifier.citation | IEEE Transactions on Industrial Electronics, 2020, v. 67 n. 12, p. 10766-10775 | - |
dc.identifier.issn | 0278-0046 | - |
dc.identifier.uri | http://hdl.handle.net/10722/282937 | - |
dc.description.abstract | In this paper, a novel non-fragile controller design scheme is developed for a class of periodic piecewise systems with linear time-varying (LTV) subsystems. Two types of norm-bounded controller perturbations, including additive and multiplicative ones, are considered and partially characterized by periodic piecewise time-varying parameters. Using a new matrix polynomial lemma, the problems of non-fragile controller synthesis for periodic piecewise time-varying systems (PPTVSs) are made amenable to convex optimization based on the favorable property of a class of matrix polynomials. Depending on selectable divisions of subintervals, sufficient conditions of the stability and non-fragile controller design are proposed for PPTVSs. Case studies based on a multi-input multi-output (MIMO) PPTVS and a mass-spring-damper system show that the proposed control schemes can effectively guarantee the close-loop stability and accelerate the convergence under controller perturbations, with more flexible periodic time-varying controller gains than those obtained by the existing methods. | - |
dc.language | eng | - |
dc.publisher | Institute of Electrical and Electronics Engineers. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=41 | - |
dc.relation.ispartof | IEEE Transactions on Industrial Electronics | - |
dc.rights | IEEE Transactions on Industrial Electronics. Copyright © Institute of Electrical and Electronics Engineers. | - |
dc.rights | ©20xx IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. | - |
dc.subject | Perturbation methods | - |
dc.subject | Control systems | - |
dc.subject | Symmetric matrices | - |
dc.subject | Time-varying systems | - |
dc.subject | Additives | - |
dc.title | A Novel Scheme of Non-fragile Controller Design for Periodic Piecewise LTV Systems | - |
dc.type | Article | - |
dc.identifier.email | Xie, X: xcxie@connect.hku.hk | - |
dc.identifier.email | Lam, J: jlam@hku.hk | - |
dc.identifier.email | Kwok, KW: kwokkw@hku.hk | - |
dc.identifier.authority | Lam, J=rp00133 | - |
dc.identifier.authority | Kwok, KW=rp01924 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1109/TIE.2019.2962439 | - |
dc.identifier.scopus | eid_2-s2.0-85083206478 | - |
dc.identifier.hkuros | 310279 | - |
dc.identifier.hkuros | 310162 | - |
dc.identifier.volume | 67 | - |
dc.identifier.issue | 12 | - |
dc.identifier.spage | 10766 | - |
dc.identifier.epage | 10775 | - |
dc.identifier.isi | WOS:000564342400074 | - |
dc.publisher.place | United States | - |
dc.identifier.issnl | 0278-0046 | - |