PARAMETRIC CONTROL OF OSCILLATIONS AND ROTATIONS OF A COMPOUND PENDULUM (A SWING)

被引：0
|
作者：
AKULENKO, LD
机构：
来源：
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS | 1993年 / 57卷 / 02期
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D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Parametric control of plane oscillations and rotations of a rigid body (a plane compound pendulum) is considered. The control is achieved by rectilinear displacements of a point mass with controlled velocity attached to the rigid body. A mathematical model is constructed and control and optimization problems are posed. An approximate asymptotic approach, based on a combination of the averaging method and the maximum principle, is proposed and applied. Rational control rules arc constructed and the evolution of the system is analysed. The limiting cases of small oscillations and rapid pendulum rotations are studied.
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页码：301 / 310
页数：10
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