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

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dc.contributor.advisor Levere, Kimberly Dewhurst, John 2021-09-09T15:36:37Z 2021-09-09T15:36:37Z 2021-09 2021-08-30
dc.description.abstract Optimal 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.language.iso en en_US
dc.publisher University of Guelph en_US
dc.rights Attribution-ShareAlike 4.0 International *
dc.rights.uri *
dc.subject optimal control en_US
dc.subject collage-based approach en_US
dc.subject inverse problem en_US
dc.subject ODE en_US
dc.subject ordinary differential equation en_US
dc.title A Collage-Based Approach to Inverse Optimal Control Problems with Unique Solutions en_US
dc.type Thesis en_US Mathematics and Statistics en_US Master of Science en_US Department of Mathematics and Statistics en_US University of Guelph en_US

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