径向共线多星库仑编队飞行构型保持研究

On Shape Remain of Radial Collinear N-Craft Coulomb Formation

本文研究了多星库仑卫星编队在地球同步轨道处径向轨道动力学与控制问题.首先建立了N颗卫星在同步轨道点处的动力学模型,然后以只在库仑力作用下的四颗卫星编队为例,对共线四星编队模型进行线性化处理.针对其动力学模型设计了LQR控制器.考虑到建模误差,利用误差最大有界范围的二范数设计了改进型的LQR控制律,针对变量引入积分项对扰动误差进行补偿以提高控制精度.数值仿真结果表明,所建立的多星编队动力学模型是正确的,引入积分项的控制减少了编队构型稳定所需时间,且有效维持了编队构型.

The radial orbital dynamics and control problem of the collinear multi craft Coulomb formation in geostationary orbit is investigated. Firstly,an N-craft dynamics model in GEO is established. Then taking 4-craft formation with only Coulomb force as an example,the 4-craft dynamics model is linearlize.The LQR controller is designed based on the linear dynamic model. Considering the unmodeled disturbance forces and the model errors,the improved LQR control law with integrals is designed to improve the robustness of the traditional LQR controller. Simulation results show that the N-craft dynamic model is correct,the introduction of integral term control reduces the time requirement for formation stability and numerical simulation results demonstrate the effectiveness of the proposed control strategy.