柔性航天器次优鲁棒调节器设计

Design of Suboptimal Robust Functional Regulator for Flexible Spacecraft

本文考虑星载转动部件在工作时,柔性航天器的振动抑制问题。首先对转化后的带两帆板航天器的模型设计反馈调节器;接着借助Sylvester矩阵方程的参数化解法,给出调节器增益矩阵的完全参数化表达;最后以自由参数为自变量,给出调节器增益矩阵梯度方向的次优解,得到次优鲁棒调节器。数值结果证明了本文方法的有效性。

The paper discusses the vibration suppression of flexible spacecraft using the output regulation method.Firstly,the feedback regulator is designed for the flexible spacecraft transformed.Secondly,according to the parametric method of Sylvester matrix equations,complete parametric expressions for feedback gain matrices of regulators are established.Finally,regarding free parameters as independent variables,the suboptimal solution of feedback gain matrices in gradient orientation is obtained.Moreover,the suboptimal robust regulator is gotten.The numerical example demonstrates the effect of the proposed method.