Approximate Optimal Control in the Infinite Time Horizon Problem with Phase Constraints

Anastasiia A. Usova; Alexander M. Tarasyev

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Approximate Optimal Control in the Infinite Time Horizon Problem with Phase Constraints

机译：近似无限时间最优控制地平线与相位约束问题

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The paper investigates a control problem of optimal distribution of investments directed towards improvement of the resource productivity and/or purchasing the natural resources. The problem is based on the growth model of the effective resource consumption under the condition on resources' exhaustion. The paper provides an interpretation of phase variables in terms of the reliability theory. The optimal solution of the problem is approximated by piecewise constant controls that guarantee convergence of the trajectories to the unique equilibrium of the Hamiltonian system. The derived approximation satisfies the phase constraints and matches with the stabilized solutions constructed on the basis of the nonlinear regulator approach.

机译：本文调查的控制问题最优分布的直接投资对提高资源生产率和/或购买自然资源。问题是基于的增长模式有效的资源消耗下条件资源的枯竭。提供了一个解释变量的阶段可靠性理论。解决问题是近似的分段常数控制,保证收敛轨迹的独一无二的哈密顿系统的平衡。推导出近似满足的阶段与稳定约束和匹配解决方案的基础上建造的非线性调节器的方法。

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《Minimax theory and its applications》 |2020年第2期|455-470|共16页
作者
Anastasiia A. Usova; Alexander M. Tarasyev;
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作者单位

N. N. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of RAS, 620108 Yekaterinburg, Russia;

B．N.Yeltsin Ural Federal University, 620002 Yekaterinburg, Russia;

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原文格式 PDF
正文语种英语
中图分类
关键词
reliability theory; Resource utilization; Optimal controloptimal distributionphase variableGrowth models;

机译：可靠性理论;资源利用最优controloptimal distributionphase variableGrowth模型;

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2. Direct Trajectory Optimization and Costate Estimation of Infinite-horizon Optimal Control Problems Using Collocation at the Flipped Legendre-Gauss-Radau Points [J] . Xiaojun Tang, Jie Chen 自动化学报（英文版） . 2016,第002期
3. H{sup}∞ preview control in infinite-horizon time setting [J] . Akira Kojima, Shintaro Ishijima 計測自動制御学会論文集 . 1999,第1期

机译：H {SUP}∞INFINITE-HORIZON时间设置中的预览控制
4. Optimal adaptive Kanban-type production control [J] . Xanthopoulos A. S., Ioannidis S., Koulouriotis D. E. The International Journal of Advanced Manufacturing Technology . 2018,第5a8期

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Approximate Optimal Control in the Infinite Time Horizon Problem with Phase Constraints

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