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dc.contributor.authorLoxton, Ryan
dc.contributor.authorLin, Qun
dc.contributor.authorTeo, Kok Lay
dc.contributor.editorShengyuan Xu
dc.contributor.editorQianchuan Zhao
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 Xu, S. and Zhao, Q. (ed), Proceedings of the 33rd Chinese Control Conference, Jul 28-30 2014, pp. 8911-8918. Nanjing, China: IEEE.

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 nite 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.subjectTotal variation
dc.subjectControl parameterization
dc.subjectNonlinear optimization
dc.subjectOptimal control
dc.titleGuaranteed-cost controls of minimal variation: A numerical algorithm based on control parameterization
dc.typeConference Paper
dcterms.source.titleProceedings of the 33rd Chinese Control Conference
dcterms.source.seriesProceedings of the 33rd Chinese Control Conference
dcterms.source.conference33rd Chinese Conference Control
dcterms.source.conference-start-dateJul 28 2014
dcterms.source.conferencelocationNanjing, China
dcterms.source.placeNanjing, China

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curtin.departmentDepartment of Mathematics and Statistics
curtin.accessStatusOpen access

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