空间交会中拉格朗日乘子法的工程应用

为解决工程中直接使用基于C-W方程的双脉冲法和拉格朗日乘子法时远距离导引精度低,以及分段导引过程复杂和可靠性降低等问题,设计了一种新的冲量计算方法。基于原方法适时引入当前状态和误差信息,继承了拉格朗日法运算简单的优点,并将原开环控制改为闭环控制。仿真结果表明,该法提高了导引精度,同时还充分利用多冲量法的特性实现了更大交会时间范围的燃料最优。

Research on Application Method of Lagrange Multiplier Method in Space Rendezvous

To solve the problems such as the low accuracy of large distance guidance and process complex and reliability decreasing of sectional guidance for using double pulse based on C-W equation and Lagrange multiplier method directly in engineering,a new impulse algorithm was put forward in this paper,which was based on the initial method and introduced the present state and error information at suitable time.The new method was also simple and changed the open-loop control to closed-loop control.The simulation results showed that the new method would improve the guidance accuracy,and ensured the lowest power in large transfer time range from the characteristics of multi-impulse.