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- Publisher Website: 10.1016/j.automatica.2009.05.029
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Article: Optimal control problems with a continuous inequality constraint on the state and the control
Title | Optimal control problems with a continuous inequality constraint on the state and the control | ||||||||||
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Authors | |||||||||||
Keywords | Constraints Nonlinear Control Systems Nonlinear Programming Optimal Control | ||||||||||
Issue Date | 2009 | ||||||||||
Publisher | Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/automatica | ||||||||||
Citation | Automatica, 2009, v. 45 n. 10, p. 2250-2257 How to Cite? | ||||||||||
Abstract | We consider an optimal control problem with a nonlinear continuous inequality constraint. Both the state and the control are allowed to appear explicitly in this constraint. By discretizing the control space and applying a novel transformation, a corresponding class of semi-infinite programming problems is derived. A solution of each problem in this class furnishes a suboptimal control for the original problem. Furthermore, we show that such a solution can be computed efficiently using a penalty function method. On the basis of these two ideas, an algorithm that computes a sequence of suboptimal controls for the original problem is proposed. Our main result shows that the cost of these suboptimal controls converges to the minimum cost. For illustration, an example problem is solved. © 2009 Elsevier Ltd. All rights reserved. | ||||||||||
Persistent Identifier | http://hdl.handle.net/10722/155920 | ||||||||||
ISSN | 2023 Impact Factor: 4.8 2023 SCImago Journal Rankings: 3.502 | ||||||||||
ISI Accession Number ID |
Funding Information: This paper was not presented at any IFAC meeting. The second author is supported by the National Natural Science Foundation of China under Grant 60704003 and a grant from the Australian Research Council. The last author is supported by RGC Grant PolyU. 5321/07E and the Research Committee of The Hong Kong Polytechnic University. This paper was recommended for publication in revised form by Associate Editor Delin Chu under the direction of Editor Ian R. Petersen. | ||||||||||
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Loxton, RC | en_US |
dc.contributor.author | Teo, KL | en_US |
dc.contributor.author | Rehbock, V | en_US |
dc.contributor.author | Yiu, KFC | en_US |
dc.date.accessioned | 2012-08-08T08:38:25Z | - |
dc.date.available | 2012-08-08T08:38:25Z | - |
dc.date.issued | 2009 | en_US |
dc.identifier.citation | Automatica, 2009, v. 45 n. 10, p. 2250-2257 | en_US |
dc.identifier.issn | 0005-1098 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/155920 | - |
dc.description.abstract | We consider an optimal control problem with a nonlinear continuous inequality constraint. Both the state and the control are allowed to appear explicitly in this constraint. By discretizing the control space and applying a novel transformation, a corresponding class of semi-infinite programming problems is derived. A solution of each problem in this class furnishes a suboptimal control for the original problem. Furthermore, we show that such a solution can be computed efficiently using a penalty function method. On the basis of these two ideas, an algorithm that computes a sequence of suboptimal controls for the original problem is proposed. Our main result shows that the cost of these suboptimal controls converges to the minimum cost. For illustration, an example problem is solved. © 2009 Elsevier Ltd. All rights reserved. | en_US |
dc.language | eng | en_US |
dc.publisher | Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/automatica | en_US |
dc.relation.ispartof | Automatica | en_US |
dc.subject | Constraints | en_US |
dc.subject | Nonlinear Control Systems | en_US |
dc.subject | Nonlinear Programming | en_US |
dc.subject | Optimal Control | en_US |
dc.title | Optimal control problems with a continuous inequality constraint on the state and the control | en_US |
dc.type | Article | en_US |
dc.identifier.email | Yiu, KFC:cedric@hkucc.hku.hk | en_US |
dc.identifier.authority | Yiu, KFC=rp00206 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1016/j.automatica.2009.05.029 | en_US |
dc.identifier.scopus | eid_2-s2.0-70049107536 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-70049107536&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 45 | en_US |
dc.identifier.issue | 10 | en_US |
dc.identifier.spage | 2250 | en_US |
dc.identifier.epage | 2257 | en_US |
dc.identifier.isi | WOS:000273497400009 | - |
dc.publisher.place | United Kingdom | en_US |
dc.identifier.scopusauthorid | Loxton, RC=24438257500 | en_US |
dc.identifier.scopusauthorid | Teo, KL=16200328100 | en_US |
dc.identifier.scopusauthorid | Rehbock, V=6603576484 | en_US |
dc.identifier.scopusauthorid | Yiu, KFC=24802813000 | en_US |
dc.identifier.citeulike | 6083055 | - |
dc.identifier.issnl | 0005-1098 | - |