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Article: Proportional-Derivative Control of Discrete-Time Positive Systems: A State-Space Approach

TitleProportional-Derivative Control of Discrete-Time Positive Systems: A State-Space Approach
Authors
Liu, Jason JRYang, NachuanKwok, Ka-WaiLam, James
KeywordsCircuit stability
Discrete-time systems
Linear systems
PD control
PD control
Positive system
Stability analysis
Sufficient conditions
Systematics
Transfer functions
Issue Date29-May-2023
PublisherInstitute of Electrical and Electronics Engineers
Citation
IEEE Transactions on Circuits and Systems II: Express Briefs, 2023 How to Cite?
DOI: http://dx.doi.org/10.1109/TCSII.2023.3280596
Abstract

The proportional-derivative (PD) control is investigated for discrete-time positive linear systems in this paper, which is a fundamental research problem in positive systems theory. Based on positive systems theory and Lyapunov theory, this paper proposes a systematic approach on the PD controller design for positive stabilization. The analyses and methods presented in this paper preserve both the necessity and sufficiency of the control problem, and the convergence of the algorithm is also analyzed. Finally, a numerical example on pest population control is employed in the simulation to verify the results.


Persistent Identifierhttp://hdl.handle.net/10722/331293
ISSN
1549-7747
2023 Impact Factor: 4.0
2023 SCImago Journal Rankings: 1.523

 

DC FieldValueLanguage
dc.contributor.authorLiu, Jason JR-
dc.contributor.authorYang, Nachuan-
dc.contributor.authorKwok, Ka-Wai-
dc.contributor.authorLam, James-
dc.date.accessioned2023-09-21T06:54:26Z-
dc.date.available2023-09-21T06:54:26Z-
dc.date.issued2023-05-29-
dc.identifier.citationIEEE Transactions on Circuits and Systems II: Express Briefs, 2023-
dc.identifier.issn1549-7747-
dc.identifier.urihttp://hdl.handle.net/10722/331293-
dc.description.abstract<p>The proportional-derivative (PD) control is investigated for discrete-time positive linear systems in this paper, which is a fundamental research problem in positive systems theory. Based on positive systems theory and Lyapunov theory, this paper proposes a systematic approach on the PD controller design for positive stabilization. The analyses and methods presented in this paper preserve both the necessity and sufficiency of the control problem, and the convergence of the algorithm is also analyzed. Finally, a numerical example on pest population control is employed in the simulation to verify the results.<br></p>-
dc.languageeng-
dc.publisherInstitute of Electrical and Electronics Engineers-
dc.relation.ispartofIEEE Transactions on Circuits and Systems II: Express Briefs-
dc.subjectCircuit stability-
dc.subjectDiscrete-time systems-
dc.subjectLinear systems-
dc.subjectPD control-
dc.subjectPD control-
dc.subjectPositive system-
dc.subjectStability analysis-
dc.subjectSufficient conditions-
dc.subjectSystematics-
dc.subjectTransfer functions-
dc.titleProportional-Derivative Control of Discrete-Time Positive Systems: A State-Space Approach-
dc.typeArticle-
dc.identifier.doi10.1109/TCSII.2023.3280596-
dc.identifier.scopuseid_2-s2.0-85161079941-
dc.identifier.eissn1558-3791-
dc.identifier.issnl1549-7747-

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