Number representation in predictive control

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dc.contributor.authorKerrigan, Eric C.
dc.contributor.authorJerez, Juan L.
dc.contributor.authorLongo, Stefano
dc.contributor.authorConstantinides, George A.
dc.date.accessioned2019-04-11T18:01:52Z
dc.date.available2019-04-11T18:01:52Z
dc.date.issued2012-09-30
dc.description.abstractIn predictive control a nonlinear optimization problem has to be solved at each sample instant. Solving this optimization problem in a computationally efficient and numerically reliable fashion on an embedded system is a challenging task. This paper presents results to reduce the computational requirements for solving fundamental problems that arise when implementing predictive controllers in finite precision arithmetic. By employing novel formulations and tailor-made optimization algorithms, this paper shows that computational resources can be reduced using very low precision arithmetic. We also present new mathematical results that enable computational savings to be made in the most numerically critical part of an optimization solver, namely the linear algebra kernel, using fixed-point arithmetic. Our theoretical results are supported by numerical results from implementations on a Field Programmable Gate Array (FPGA).en_UK
dc.identifier.citationEric C. Kerrigan, Juan L. Jerez, Stefano Longo and George A. Constantinides. Number representation in predictive control. IFAC Proceedings Volumes, Volume 45, Issue 17, 2012, pp. 60-67en_UK
dc.identifier.issn1474-6670
dc.identifier.urihttps://doi.org/10.3182/20120823-5-NL-3013.00017
dc.identifier.urihttps://dspace.lib.cranfield.ac.uk/handle/1826/14067
dc.language.isoenen_UK
dc.publisherElsevieren_UK
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectPredictive controlen_UK
dc.subjectOptimization problemsen_UK
dc.subjectNumber systemsen_UK
dc.subjectNumerical methodsen_UK
dc.subjectEmbedded systemsen_UK
dc.titleNumber representation in predictive controlen_UK
dc.typeArticleen_UK

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