A Collage-Based Approach to Inverse Optimal Control Problems with Unique Solutions

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dc.contributor.advisorLevere, Kimberly
dc.contributor.authorDewhurst, John
dc.date.accessioned2021-09-09T15:36:37Z
dc.date.available2021-09-09T15:36:37Z
dc.date.copyright2021-09
dc.date.created2021-08-30
dc.degree.departmentDepartment of Mathematics and Statisticsen_US
dc.degree.grantorUniversity of Guelphen_US
dc.degree.nameMaster of Scienceen_US
dc.degree.programmeMathematics and Statisticsen_US
dc.description.abstractOptimal control problems entail finding a control function that optimizes a given objective functional, subject to a set of constraints that include an ordinary differential equation. Conversely, inverse optimal control problems entail seeking objective functionals that are optimized by a given control system. In this thesis we develop a Collage-Based Approach to solving inverse optimal control problems with unique solutions based on the Collage method for ODE inverse problems and Pontryagin’s Maximum Principle. Inverse problems are often formulated as the minimization of an approximation error over a set of parameters. Collage-type methods bound the approximation error by a quantity that is computationally preferable to optimize. We demonstrate this method through a variety of example scenarios and discuss its efficacy and robustness.en_US
dc.identifier.urihttps://hdl.handle.net/10214/26387
dc.language.isoenen_US
dc.publisherUniversity of Guelphen_US
dc.rightsAttribution-ShareAlike 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-sa/4.0/*
dc.subjectoptimal controlen_US
dc.subjectcollage-based approachen_US
dc.subjectinverse problemen_US
dc.subjectODEen_US
dc.subjectordinary differential equationen_US
dc.titleA Collage-Based Approach to Inverse Optimal Control Problems with Unique Solutionsen_US
dc.typeThesisen_US
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