基于复模态的控制力矩陀螺配置优化  

Placement optimization of control moment gyroscopes in complex modes

作　　者：王帅[1] 陈金 金栋平[1] Wang Shuai;Chen Jin;Jin Dongping(State Key Laboratory of Mechanics and Control of Mechanical Structures,Nanjing University of Aeronautics and Astronautics,210016,Nanjing,China)

机构地区：[1]南京航空航天大学机械结构力学及控制国家重点实验室,南京210016

出　　处：《应用力学学报》2020年第2期637-641,I0012,共6页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金重大科研仪器项目(11827801);预研领域基金(6140210010202)。

摘　　要：由于陀螺耦合效应,系统动力学方程的特征值和特征向量皆为复数形式,不便于进行控制力矩陀螺的配置优化和控制律设计。本文基于复模态理论,构造出一种实数域上的伪模态矩阵,从而实现方程解耦。综合考虑结构模态、控制输入能量和传感器接收能量的复合优化准则,获得了控制力矩陀螺的最优配置。结果表明,采用线性二次型最优控制,能够快速将结构的响应振幅降至5%以内,验证了使用伪模态矩阵进行方程解耦的可行性及控制的有效性。The placement optimization of control moment gyroscopes(CMGs)is studied for the active vibration control of large space truss structures.Due to the gyro coupling effect,the eigenvalues and eigenvectors of the system are complex numbers.It is inconvenient to optimize the placement of the CMGs and to design their control law.This paper presents a way to decouple the dynamic equations of the system through the construction of the pseudo-modal matrix in real numbers domain using complex modal theory.Consequently,a hybrid optimization strategy for the optimal placement problem is proposed,in which the modal response,control input energy and sensor received energy are taken into account.Finally,the feasibility and effectiveness of the proposed method are tested via a LQR control which can reduce the response amplitude of the structure to less than 5%quickly.

关 键 词：控制力矩陀螺 复模态 伪模态矩阵 优化配置 

分 类 号：O346.2[理学—固体力学]