Optimal Control in a Nonlinear Sequential Rendezvous Problem


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Abstract

An algorithm for constructing the time optimal control of a nonlinear fourth-order system that must visit two fixed points in the prescribed order is proposed. This system describes the motion of a car or an aircraft in the horizontal plane with a variable controllable speed and controllable steering angle.

About the authors

Yu. I. Berdyshev

Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences

Author for correspondence.
Email: berd@imm.uran.ru
Russian Federation, Yekaterinburg, 620990


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