BOUNDARY CONTROL OF A TIMOSHENKO BEAM ATTACHED TO A RIGID BODY - PLANAR MOTION

被引:44
作者
MORGUL, O
机构
[1] Department of Electrical and Electronics Engineering, Bilkent University, Bilkent, Ankara
基金
美国国家科学基金会;
关键词
D O I
10.1080/00207179108934185
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A flexible spacecraft modelled as a rigid body which rotates in an inertial space is considered; a light flexible beam is clamped to the rigid body at one end and free at the other end. The equations of motion are obtained by using the geometrically exact beam model for the flexible beam, and it is then shown that under planar motion assumption, linearization of this model yields the Timoshenko beam model. It is shown that suitable boundary controls applied to the free end of the beam and a control torque applied to the rigid body stabilize the system. The proof is obtained by using a Lyapunov functional based on the energy of the system.
引用
收藏
页码:763 / 791
页数:29
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