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dc.contributor.authorLoxton, Ryan
dc.contributor.authorLin, Qun
dc.contributor.authorTeo, Kok Lay
dc.date.accessioned2017-01-30T11:25:38Z
dc.date.available2017-01-30T11:25:38Z
dc.date.created2016-02-07T19:30:21Z
dc.date.issued2014
dc.identifier.citationLoxton, R. and Lin, Q. and Teo, K.L. 2014. Guaranteed-Cost Controls of Minimal Variation: A Numerical Algorithm Based on Control Parameterization, in Proceedings of the 33rd Chinese Control Conference, Jul 28-30, pp. 8905-8912. Nanjing, China: IEEE.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/11580
dc.identifier.doi10.1109/ChiCC.2014.6896500
dc.description.abstract

The optimal control literature is dominated by standard problems in which the system cost functional is expressed in the well-known Bolza form. Such Bolza cost functionals consist of two terms: a Mayer term (which depends solely on the final state reached by the system) and a Lagrange integral term (which depends on the state and control values over the entire time horizon). One limitation with the standard Bolza cost functional is that it does not consider the cost of control changes. Such costs should certainly be considered when designing practical control strategies, as changing the control signal will invariably cause wear and tear on the system's acutators. Accordingly, in this paper, we propose a new optimal control formulation that balances system performance with control variation. The problem is to minimize the total variation of the control signal subject to a guaranteed-cost constraint that ensures an acceptable level of system performance (as measured by a standard Bolza cost functional). We first apply the control parameterization method to approximate this problem by a non-smooth dynamic optimization problem involving a finite number of decision variables. We then devise a novel transformation procedure for converting this non-smooth dynamic optimization problem into a smooth problem that can be solved using gradient-based optimization techniques. The paper concludes with numerical examples in fisheries and container crane control.

dc.publisherIEEE
dc.titleGuaranteed-Cost Controls of Minimal Variation: A Numerical Algorithm Based on Control Parameterization
dc.typeConference Paper
dcterms.source.startPage8905
dcterms.source.endPage8912
dcterms.source.issn1948-9439
dcterms.source.title2014 33RD CHINESE CONTROL CONFERENCE (CCC)
dcterms.source.series2014 33RD CHINESE CONTROL CONFERENCE (CCC)
dcterms.source.conference33rd Chinese Control Conference (CCC)
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Copyright © 2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.

curtin.departmentDepartment of Mathematics and Statistics
curtin.accessStatusOpen access


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