A time-optimal sequential traversal of a set of points by a nonlinear third-order control system

被引：0
|
作者：
Berdyshev, YI [1 ]
机构：
[1] Russian Acad Sci, Inst Math & Mech, Ural Div, Ekaterinburg 620219, Russia
来源：
JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL | 2002年 / 41卷 / 03期
关键词：
Control systems - Hamiltonians - Optimal control systems;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The problem of time-optimal sequential traversal in a prescribed order of a set of points given in a motion plane by a nonlinear third-order control object is investigated. The necessary conditions for optimal control and time instants of approach in the form of Pontryagin's maximum principle and conditions for smoothing the Hamiltonian are employed. The problem in question is not supposed to be decomposed into a number of two-point problems solved step-by-step. The structure of the optimal trajectory is determined.
引用
收藏
页码：374 / 381
页数：8
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