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通过改进卫星编队的Lawden方程得到非线性相对运动方程,称为Lawden改进型方程,使其更加近似于编队运行环境。通过该非线性方程,在编队相对导航研究中,以EKF滤波方法为参考分析,采用适合非线性系统的UKF(Unscented Kalman Filter)滤波方法对编队的状态进行滤波估计。通过仿真实验,结果表明采用UKF滤波方法的编队状态估计精度明显优于采用EKF滤波方法得到的估计精度,其中相对距离估计精度可以提高70%左右,相对速率估计精度可以提高25%左右,在工程应用中具有一定的参考利用价值。
By improving the Lawden equation of satellite formation, a nonlinear equation of relative motion is obtained, which is called Lawden’s modified equation, which makes it more similar to the formation operating environment. Through the nonlinear equation, in formation relative navigation study, the EKF filtering method is used as a reference analysis, and the Unscented Kalman Filter (UKF) filtering method suitable for nonlinear system is used to filter formation status. The simulation results show that the formation state estimation accuracy of the UKF filtering method is obviously better than that of the EKF filtering method. The relative distance estimation accuracy can be increased by 70% and the relative rate estimation accuracy can be improved by about 25% Application has a certain reference value.