Optimal control of a wave energy converter

R. W.M. Hendrikx, J. Leth, P. Andersen, W. P.M.H. Heemels

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

6 Citations (Scopus)

Abstract

The optimal control strategy for a wave energy converter (WEC) with constraints on the control torque is investigated. The goal is to optimize the total energy delivered to the electricity grid. Using Pontryagin's maximum principle, the solution is found to be singular-bang. Using higher order conditions, the optimal control on the singular arc is found as a function of the state and costate trajectories. Furthermore, it is shown that the transitions between bang and singular subarcs are discontinuous. Based on these findings the results of a numerical direct method are validated. Finally, the optimal control is used to benchmark an existing MPC strategy. It is found that for active control torque constraints the MPC strategy does not result in the discontinuous singular-bang transitions. However, the difference in harvested power is small.

Original languageEnglish
Title of host publication1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017
Number of pages8
Volume2017-January
PublisherIEEE
Publication date6 Oct 2017
Pages779-786
ISBN (Electronic)9781509021826
DOIs
Publication statusPublished - 6 Oct 2017
Event1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017 - Kohala Coast, United States
Duration: 27 Aug 201730 Aug 2017

Conference

Conference1st Annual IEEE Conference on Control Technology and Applications, CCTA 2017
Country/TerritoryUnited States
CityKohala Coast
Period27/08/201730/08/2017
SponsorIEEE Control Systems Society (CSS)

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