On the control of a nonlinear dynamic system in a time-optimal problem with state constraints

被引：1

作者：

Kandoba, I. N. ^{[1
,2
]}

Koz'min, I. V. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Ural Branch, Inst Math & Mech, Ekaterinburg, Russia

[2] Ural Fed Univ, Ekaterinburg, Russia

来源：

TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2016年 / 22卷 / 02期

关键词：

dynamic system; state constraints; admissible control; guide; accompanying positions;

D O I：

10.21538/0134-4889-2016-22-2-150-162

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An optimal control problem for a nonlinear dynamic system is studied. The required control must satisfy given constraints and provide the fulfilment of a number of conditions on the current state of the system. For the construction of admissible controls in this problem, we propose an approach based on the ideas of solution of control problems with a guide. The results of numerical simulation are presented.

引用

页码：150 / 162

页数：13

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