【摘要】 针对空间柔性构件的特点,研究了一类由柔性杆、传感器、压电扭转致动器组成的柔性杆系统的扭转振动.运用拉格朗日方程和假设模态法建立了系统的动力学方程,采用线性二次型最优控制对柔性杆的扭转振动进行了主动控制.对二次型指标中的加权矩阵的选择方法进行了深入探讨,提出一种基于遗传算法并带约束条件的加权矩阵的选择方法.数值仿真结果表明,所提出的加权矩阵的选择策略是有效的,施控后系统的扭转振动能得到有效衰减.更多还原

【Abstract】 Considering the properties of space flexible structures,the torsional vibration of a flexible bar system consisting of a flexible bar,a sensor and a piezoelectric actuator was investigated.The dynamic equations of the system were established using the Lagrange equation and the assumed mode method.The linear quadratic optimal control was employed to control the flexible system.The choosing method of the weighting matrix was studied.A method based on the genetic algorithm combined with constraints was proposed and simulations were employed.The results showed that the proposed choosing method of the weighting matrix was effective,and the torsional vibration of the system after control was attenuated dramatically.更多还原