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<p>In the class of constrained state-nonlinear optimal control problems, a new approach to improving controls is proposed. This approach is based on solving special boundary-value problems by perturbation methods and parametrization of the optimal control problem by the perturbation parameter. The solution of the constructed unperturbed boundary-value problem is reduced to the solution of an algebraic equation for one unknown parameter. To solve the perturbed boundary-value problem, an iterative process is proposed, at each iteration of which a problem is solved that is similar in complexity to the unperturbed problem.</p>

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METHODS OF BOUNDARY-VALUE PROBLEMS FOR IMPROVING CONTROL IN CONSTRAINED SYSTEMS

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • D. O. Trunin

摘要

In the class of constrained state-nonlinear optimal control problems, a new approach to improving controls is proposed. This approach is based on solving special boundary-value problems by perturbation methods and parametrization of the optimal control problem by the perturbation parameter. The solution of the constructed unperturbed boundary-value problem is reduced to the solution of an algebraic equation for one unknown parameter. To solve the perturbed boundary-value problem, an iterative process is proposed, at each iteration of which a problem is solved that is similar in complexity to the unperturbed problem.