中心刚体-柔性梁应变反馈多目标优化控制
余瑶，文浩，陈提
摘要:本文针对柔性结构在轨组装任务背景，将自动飞船和待运送部件分别简化为中心刚体和柔性梁附件，研究自由漂浮中心刚体⁃柔性梁系统的动力学与控制问题。首先基于小变形和低转速假设，将梁用假设模态法离散，采用Lagrange方程导出系统动力学方程。继而设计一种带有应变反馈的PD控制律用于完成中心刚体的状态镇定以及柔性梁振动抑制。此外，本文还使用遗传算法对控制器中的参数进行多目标优化。最后，通过数值算例验证了所设计控制器的有效性。
关键词：中心刚体⁃柔性梁，刚柔耦合，遗传算法，多目标优化，应变反馈
Multi-objective optimal control of a hub-beam with strain feedback
Yao Yu, Hao Wen, Ti Chen
Abstract：For the application of automatically assembling flexible space structures, this paper studies the dynamic characteristic and control design of a free-floating hub-beam system, where the rigid hub and flexible beam are the simplified models of a spacecraft and a flexible element, respectively. Based on the assumption of small deformation and low motion speed, the beam is discretized through the assumed mode method. The dynamic formulation of the system is derived by using the Lagrange equation. A PD control law with strain feedback is then designed for simultaneously tracking the desired attitude angle and suppressing the vibration of the flexible beam. Moreover, the multi-objective genetic algorithm is applied to perform the multi-objective optimization for the controller parameters. Finally, the effectiveness of the controller is verified by numerical examples.
Keyword：flexible hub-beam, rigid-flexible coupling, genetic algorithm, multi-objective optimization, strain feedback
原文链接：http://dlxykzxb.cnjournals.net/jdc/article/abstract/20170410?st=search
