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Article: Proportional-derivative controller design of continuous-time positive linear systems
Title | Proportional-derivative controller design of continuous-time positive linear systems |
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Authors | |
Keywords | Nonfragile control PD controller Positive linear systems Static output-feedback control |
Issue Date | 2021 |
Publisher | John Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/5510 |
Citation | International Journal of Robust and Nonlinear Control, 2021, p. 1-15 How to Cite? |
Abstract | This article focuses on the design of proportional-derivative (PD) controllers for positive linear systems in the continuous-time domain, which is a well-known open problem in positive systems theory. The main objective is to design a PD controller subject to interval gain variations, which simultaneously preserves the closed-loop system stability and positivity. The provided results fill the literature gap by considering both the PD controller structure and positivity. Although various feedback control strategies of positive systems have been developed recently, the work provides, for the first time, a systematic and tractable framework for finding nonfragile PD controller gains for positive stabilization. Finally, the theory and algorithm performance are evaluated and illustrated by numerical examples. |
Description | This work is partially supported by ITF UIM/353, HKU RGC 17206818, HKU RGC 17201820 and HKU CRCG 201711159127. |
Persistent Identifier | http://hdl.handle.net/10722/306701 |
ISSN | 2023 Impact Factor: 3.2 2023 SCImago Journal Rankings: 1.459 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Liu, J | - |
dc.contributor.author | Yang, N | - |
dc.contributor.author | Kwok, KW | - |
dc.contributor.author | Lam, J | - |
dc.date.accessioned | 2021-10-22T07:38:22Z | - |
dc.date.available | 2021-10-22T07:38:22Z | - |
dc.date.issued | 2021 | - |
dc.identifier.citation | International Journal of Robust and Nonlinear Control, 2021, p. 1-15 | - |
dc.identifier.issn | 1049-8923 | - |
dc.identifier.uri | http://hdl.handle.net/10722/306701 | - |
dc.description | This work is partially supported by ITF UIM/353, HKU RGC 17206818, HKU RGC 17201820 and HKU CRCG 201711159127. | - |
dc.description.abstract | This article focuses on the design of proportional-derivative (PD) controllers for positive linear systems in the continuous-time domain, which is a well-known open problem in positive systems theory. The main objective is to design a PD controller subject to interval gain variations, which simultaneously preserves the closed-loop system stability and positivity. The provided results fill the literature gap by considering both the PD controller structure and positivity. Although various feedback control strategies of positive systems have been developed recently, the work provides, for the first time, a systematic and tractable framework for finding nonfragile PD controller gains for positive stabilization. Finally, the theory and algorithm performance are evaluated and illustrated by numerical examples. | - |
dc.language | eng | - |
dc.publisher | John Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/5510 | - |
dc.relation.ispartof | International Journal of Robust and Nonlinear Control | - |
dc.rights | Submitted (preprint) Version This is the pre-peer reviewed version of the following article: [FULL CITE], which has been published in final form at [Link to final article using the DOI]. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. Accepted (peer-reviewed) Version This is the peer reviewed version of the following article: [FULL CITE], which has been published in final form at [Link to final article using the DOI]. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. | - |
dc.subject | Nonfragile control | - |
dc.subject | PD controller | - |
dc.subject | Positive linear systems | - |
dc.subject | Static output-feedback control | - |
dc.title | Proportional-derivative controller design of continuous-time positive linear systems | - |
dc.type | Article | - |
dc.identifier.email | Liu, J: liujinr@hku.hk | - |
dc.identifier.email | Kwok, KW: kwokkw@hku.hk | - |
dc.identifier.email | Lam, J: jlam@hku.hk | - |
dc.identifier.authority | Kwok, KW=rp01924 | - |
dc.identifier.authority | Lam, J=rp00133 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1002/rnc.5809 | - |
dc.identifier.scopus | eid_2-s2.0-85115364269 | - |
dc.identifier.hkuros | 328517 | - |
dc.identifier.spage | 1 | - |
dc.identifier.epage | 15 | - |
dc.identifier.isi | WOS:000700125500001 | - |
dc.publisher.place | United Kingdom | - |