附在刚体上的柔性梁的控制和稳定:平面运动

Proceedings of the 27th IEEE Conference on Decision and Control Pub Date : 1988-12-07 DOI:10.1109/CDC.1988.194605

C. Desoer, O. Morgul

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引用次数: 7

摘要

考虑一种柔性航天器，其模型为刚体，受约束绕固定在惯性空间中的主轴D/sub 1/旋转;轻的柔性梁一端夹在刚体上，另一端是自由的。用自由体图得到了运动方程。结果表明，在梁的自由端施加适当的边界控制和在刚体上施加控制力矩使系统稳定。用系统的能量作为李雅普诺夫泛函得到了证明。

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Control and stabilization of a flexible beam attached to a rigid body: planar motion

The authors consider a flexible spacecraft modeled as a rigid body constrained to rotate around its principal axis D/sub 1/, fixed in inertial space; a light flexible beam is clamped to the rigid body at one end and is free at the other. The equations of motion are obtained by using free-body diagrams. 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 the energy of the system as a Lyapunov functional.<>

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Proceedings of the 27th IEEE Conference on Decision and Control

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