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Article: Non-fragile PD control of linear time-delay positive discrete-time systems

TitleNon-fragile PD control of linear time-delay positive discrete-time systems
Authors
KeywordsDiscrete-time linear system
Non-fragile control
PD control
Positive time-delay system
Issue Date25-Apr-2023
PublisherElsevier
Citation
Applied Mathematics and Computation, 2023, v. 452 How to Cite?
Abstract

This paper addresses the issue of proportional-derivative (PD) controllers design for posi-tive linear systems in the discrete-time domain, which still remains a challenging problem in positive systems theory. The specific aim is to design a PD controller for a system with constant time delay, which simultaneously ensures closed-loop system stability and pre-serves positivity. Moreover, additive gain variation of the controller is considered in the synthesis process. Systematic formulation and tractable algorithms are developed to find the PD controller gains for positive stabilization. The performance of such methods is val-idated by numerical examples.


Persistent Identifierhttp://hdl.handle.net/10722/331280
ISSN
2023 Impact Factor: 3.5
2023 SCImago Journal Rankings: 1.026
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorLiu, JJR-
dc.contributor.authorLam, J-
dc.contributor.authorWang, XM-
dc.contributor.authorKwok, KW-
dc.date.accessioned2023-09-21T06:54:18Z-
dc.date.available2023-09-21T06:54:18Z-
dc.date.issued2023-04-25-
dc.identifier.citationApplied Mathematics and Computation, 2023, v. 452-
dc.identifier.issn0096-3003-
dc.identifier.urihttp://hdl.handle.net/10722/331280-
dc.description.abstract<p>This paper addresses the issue of proportional-derivative (PD) controllers design for posi-tive linear systems in the discrete-time domain, which still remains a challenging problem in positive systems theory. The specific aim is to design a PD controller for a system with constant time delay, which simultaneously ensures closed-loop system stability and pre-serves positivity. Moreover, additive gain variation of the controller is considered in the synthesis process. Systematic formulation and tractable algorithms are developed to find the PD controller gains for positive stabilization. The performance of such methods is val-idated by numerical examples.</p>-
dc.languageeng-
dc.publisherElsevier-
dc.relation.ispartofApplied Mathematics and Computation-
dc.rightsThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.-
dc.subjectDiscrete-time linear system-
dc.subjectNon-fragile control-
dc.subjectPD control-
dc.subjectPositive time-delay system-
dc.titleNon-fragile PD control of linear time-delay positive discrete-time systems-
dc.typeArticle-
dc.identifier.doi10.1016/j.amc.2023.128016-
dc.identifier.scopuseid_2-s2.0-85153337475-
dc.identifier.volume452-
dc.identifier.eissn1873-5649-
dc.identifier.isiWOS:000988534500001-
dc.publisher.placeNEW YORK-
dc.identifier.issnl0096-3003-

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