快速反射镜理论建模与仿真分析

Theoretical modeling and simulation analysis for fast steering mirror

  • 摘要: 为有效指导快速反射镜设计,开展了快速反射镜理论建模与仿真分析研究。相比以往单自由度运动模型,该文基于动力学分析,建立了两轴快速反射镜的多自由度运动微分方程,推导出被控对象传递函数和对基座扰动的隔离传递函数;仿真分析了结构谐振频率对被控对象特性的影响,指出转动固有频率较大时,被控对象为欠阻尼系统,传递函数曲线存在谐振峰;建立了包含结构特性的快速反射镜控制系统仿真模型,分析了负载质心偏离柔性铰链支承中心、结构谐振频率等对其扰动隔离性能的影响,指出非工作轴固有频率越大,对扰动隔离性能越好,一般选择在伺服系统增益交界频率2倍以上,工作轴固有频率需权衡扰动隔离性能和电机力矩约束等进行选择。最后结合实物振动试验,验证了仿真模型的正确性。

     

    Abstract: To effectively guide the design of fast steering mirror (FSM), the research of theoretical modeling and simulation analysis for FSM was carried out. Compared with the single degree of freedom motion model, the multiple degrees of freedom motion differential equation of a two-axis FSM was built based on the dynamics analysis, and the transfer function of the controlled object as well as isolation transfer function to the base disturbance were derived. The influence of structure resonance frequency on the characteristics of the controlled object was simulated. When the rotation natural frequency was high, the controlled object was an under-damped system which had resonance peaks. The simulation model was built for the FSM control system with the structural characteristics. The influences of the load centroid deviation from the flexible hinge support center and the structural resonance frequency on the disturbance rejection performance were researched. The disturbance rejection performance would be better when the natural frequency of non-working shaft was higher. Generally, the frequency at the gain junction of the servo system is more than 2 times, and the natural frequency of the working shaft should be selected by weighing the disturbance rejection performance and motor torque constraints. Finally, the correctness of the simulation model was verified via the physical vibration experiments.

     

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