中文摘要：

以Lawden方程作为动力学模型,建立状态方程,利用线性二次型性能指标最优控制（LQR）对卫星编队队形进行保持控制.首先对近地轨道的主要摄动项摄动J2和大气阻力摄动进行描述,得到了影响编队队形的相对摄动的表达式.然后通过合理的选择控制加权矩阵R,用无约束的线性二次型优化方法解决了电推力火箭有控制约束的优化问题.仿真结果表明,这种控制方法是有效的.

英文摘要：

The state equation based on the Lawden＇s equations is established and control method for satellite formation keeping is investigated using Linear Quadratic Regulators （LQR）. Firstly, the relative disturbing forces are expressed while considering the J2 perturbation and atmospheric drag as two major disturbing forces in low earth orbit. Then, by choosing the control weighted matrix R reasonably, the constrained optimization problem as formation keeping with electric rocket propellant can be transformed into the unconstrained optimization to be solved. The simulations show that this control method is effective.