Solving the time-optimal control problem for nonlinear non-autonomous linearizable systems
Katerina V. Sklyar (1, 2), Svetlana Yu. Ignatovich (3) ((1), Institute of Mathematics, University of Szczecin, (2) Department of, Automatics, Robotics, West Pomeranian University of Technology in, Szczecin, (3) Department of Applied Mathematics)
TL;DR
This paper introduces a method for solving time-optimal control problems in nonlinear non-autonomous linearizable systems using successive approximations and Markov moment problems, with efficient symbolic and numerical implementation.
Contribution
It presents a novel approach combining successive approximations with Markov moment problems for time-optimal control of nonlinear systems.
Findings
Method effectively solves the control problem.
Efficient implementation with symbolic and numerical tools.
Applicable to a class of nonlinear non-autonomous systems.
Abstract
We present the conditions under which the time-optimal control problem for a nonlinear non-autonomous linearizable system can be solved by the method of successive approximations, at each step of which a power Markov moment min-problem is solved. The proposed method can be efficiently implemented by use of symbolic and numerical calculations.
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Taxonomy
TopicsAdvanced Control Systems Optimization