Numerical Methods for Solving Optimal Control Problems

Author

Garrett Robert Rose, University of Tennessee - KnoxvilleFollow

Date of Award

5-2015

Degree Type

Thesis

Degree Name

Master of Science

Major

Mathematics

Major Professor

Charles Collins

Committee Members

Abner Jonatan Salgado-Gonzalez, Suzanne Lenhart

Abstract

There are many different numerical processes for approximating an optimal control problem. Three of those are explained here: The Forward Backward Sweep, the Shooter Method, and an Optimization Method using the MATLAB Optimization Tool Box. The methods will be explained, and then applied to three different test problems to see how they perform. The results show that the Forward Backward Sweep is the best of the three methods with the Shooter Method being a competitor.

Recommended Citation

Rose, Garrett Robert, "Numerical Methods for Solving Optimal Control Problems. " Master's Thesis, University of Tennessee, 2015.
https://trace.tennessee.edu/utk_gradthes/3401