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, Volume 6, Issue 1, pp 6389
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Optimal control of singular systems with a cost on changing control
 L. S. JenningsAffiliated withDepartment of Mathematics, University of Western Australia
 , K. L. TeoAffiliated withDepartment of Mathematics, University of Western Australia
 , V. RehbockAffiliated withDepartment of Mathematics, University of Western Australia
 , W. X. ZhengAffiliated withDepartment of Mathematics, University of Western Sydney, Nepean
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In this paper, we consider a class of optimal control problems with a cost on changing control, where the system dynamics are described by singular differential equations. Using a constraint transcription coupled with a local smoothing technique, a penalty function, and the control parametrization technique, an efficient computational method is developed for solving this optimal control problem sequentially. The convergence performance of the proposed method is also established. For illustration, this method is used to find the optimal feeding policy for a fedbatch fermentation process.
 Title
 Optimal control of singular systems with a cost on changing control
 Journal

Dynamics and Control
Volume 6, Issue 1 , pp 6389
 Cover Date
 199601
 DOI
 10.1007/BF02169462
 Print ISSN
 09254668
 Online ISSN
 15738450
 Publisher
 Kluwer Academic Publishers
 Additional Links
 Topics
 Authors

 L. S. Jennings ^{(1)}
 K. L. Teo ^{(2)}
 V. Rehbock ^{(3)}
 W. X. Zheng ^{(4)}
 Author Affiliations

 1. Department of Mathematics, University of Western Australia, 6009, Nedlands, Perth, WA, Australia
 2. Department of Mathematics, University of Western Australia, 6009, Nedlands, Perth, WA, Australia
 3. Department of Mathematics, University of Western Australia, 6009, Nedlands, Perth, WA, Australia
 4. Department of Mathematics, University of Western Sydney, Nepean, P.O. Box 10, 2747, Kingswood, NSW, Australia