Development of a Method for Constructing an Approximating Regular Controls for Problems with Optimal Chattering Solutions

Student: Ekimov Ivan

Faculty: HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE)

Educational Programme: Mathematical Methods of Modelling and Computer Technologies (Master)

Final Grade: 8

Year of Graduation: 2021

The aim of this work is to generalize the algorithm for constructing regular suboptimal controls for the Fuller problem with scalar control for the case of the multidimensional Fuller problem with two-dimensional control from the unit disc. Estimates for the optimal spirals of the Fuller problem with two-dimensional control from the unit disc were identified and substantiated. Also, the properties of solutions to the time-minimal problem with two-dimensional control from the unit disc were revealed. For this, numerical optimization package Bocop and Python 3 were used. In this work, a hypothesis about the form of suboptimal trajectories for the multidimensional Fuller problem with two-dimensional control was formulated and tested.

Full text (added May 23, 2021)

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