约束陀螺柔性体执行机构优化配置和主动振动控制

Active Vibration Control of Constrained Gyroelastic Body with Optimal Placement of Actuators

研究了约束陀螺柔性体上执行机构的优化配置和主动振动控制,通过对带有变速控制力矩陀螺的单陀螺柔性体的模型简化,得到了线性化的约束陀螺柔性体的动力学模型。提出一种约束陀螺柔性体执行机构优化配置的新方法,该方法直接基于振动响应和振动能量对陀螺执行机构进行配置。优化配置的目标函数为线性二次型最优控制的最优值。将优化配置问题转化为整数组合优化问题,使用遗传算法（GAs）求解给定数目执行机构优化配置的组合问题。研究了执行机构在不同安装方向下的优化配置情况,优化配置的构型用于陀螺柔性体的主动振动控制。数值仿真校验了优化配置方法及结果的可行性和有效性。

The optimal placement of the actuators and the active vibration suppression of the constrained gyroelastic body is studied. By simplifying the model of a single gyroelastic body with variable-speed control moment gyros,the linearized dynamic model of the constrained gyroelastic body is obtained. A new method is proposed for the optimal placement of the actuators. This method is directly based on the vibration responses and vibration energy to determine the optimal placement of the actuators. The objective function is chosen as the optimal value of the linear quadratic regulator control. The optimal placement of the actuators is formulated in the frame of the combinatorial integer optimization problem.The genetic algorithms（GAs） are used to solve the combination problem of the constrained gyroelastic body with a fixed number of actuators. The optimal placement of the actuators with different installation directions is studied. The optimized configurations are used to realize the active vibration suppression. The effectiveness and feasibility of the optimized results by the proposed method are validated by the numerical simulations.