椭圆轨道编队构型保持控制方法研究

针对椭圆参考轨道的编队构型保持控制系统,以对地等张角绕飞编队为背景设计了相对轨道模型预测控制算法.首先,基于哈密尔顿-雅克比方程,推导了一组包含项摄动的相对运动模型.在此模型的基础上,结合具体的对地等张角编队任务,提出了一种构型保持的在线滚动优化的闭环预测控制算法,并将模型预测优化问题转换为在线求解二次规划问题,该算法能够较好地控制存在状态约束、控制约束等各种约束控制问题.最后,通过数值仿真验证该算法的有效性.

Research on control of formation keeping for elliptical orbit

For the formation flying system with ellipse reference orbit,a model predictive control method is designed for the satellite formation keeping and formation of invariant angular to the ground as the background.Based on Hamilton-Jacobi Equations,the relative motion model for formation flying is derived with the effect of perturbations.Then for formation keeping of invariant angular to the ground,a closed loop on-line optimization controller in MPC is designed,and optimization is typically reduced to either a quadratic programming.The controller is able to handle inequality constraints systematically and effectively during the design and implementation of the controller.At last,this approach is demonstrated through the simulation.