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Student
Title
Supervisor
Faculty
Educational Programme
Final Grade
Year of Graduation
Ivan Ekimov
Approximate Solutions to Optimal Control Problems
Fundamental Informatics and Information Technologies
(Bachelor’s programme)
9
2017
Abstract

The aim objects of this work are studying numerical methods for solving optimal control problems and applying these methods for mobile object control problem and spacecraft stabilization problem. The Pontryagin maximum principle was used to receive optimal control conditions and optimal control structure. To solve received systems of equations the Forward – Backward Sweep method and the shooting method were studied. To implement the Forward – Backward Sweep method and the shooting method MatLab and Python 3 were used respectively. Also, in this work the successive approximation method based on Riccati matrix equations is considered.

In this work, different approaches to constrain optimal control are considered, such as: penalty coefficient, pointwise constraints. The dependence of solutions on the penalty coefficient was investigated. A comparative analysis of the shooting method and the Forward-Backward Sweep method is carried out.

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