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针对内平衡降阶方法物理意义不清晰,平衡坐标无法由传感器直接测量的问题,文章基于柔性航天器动力学模型,提出了通过反映射实现平衡空间到模态空间的模型降阶方法。利用状态空间线性变换传递函数和特征值的不变性,通过平衡降阶模型零极点传递函数获得了与原系统相对应的特征频率,给出了平衡降阶模型与原模态子空间的映射关系,成功构造了反映射矩阵。频率响应及可控可观性分析结果显示,模态子空间降阶模型能够准确找到与原模型相匹配的状态变量,物理意义清楚,便于控制系统使用。
Aiming at the problem that the physical balance of the internal balance reduction method is not clear and the balance coordinate can not be directly measured by the sensor, this paper proposes a method to reduce the order of the model from the equilibrium space to the modal space based on the flexible spacecraft dynamics model. By using the transfer function of state space and the invariance of eigenvalues, the characteristic frequency corresponding to the original system is obtained by balancing the zero-pole transfer function of the reduced order model. The mapping relationship between the balanced reduced order model and the original modal subspace is obtained. , Successfully constructed the reflection matrix. The results of frequency response and controllability observability show that the modeled subspace reduction model can accurately find the state variables that match with the original model, the physical meaning is clear and it is easy for the control system to use.