Artificial potential function method for satellite electromagnetic formation control
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摘要: 卫星电磁编队是指利用卫星之间相互作用的电磁力进行卫星相对运动控制,对控制律的要求主要是计算量小和能避免碰撞.以目标星对参考星的相对运动矢量作为控制对象,分析了使用电磁力控制卫星编队的可行性,结果是如果编队卫星磁矩能够任意控制,那么卫星相对运动也能完全控制.设计了人工势函数,以相对位置和相对速度矢量作为变量,人工势函数在达到控制目标时为最小值,在碰撞的位置具有局部最大值.设计的控制律能够实时调整控制参数,能够保证电磁线圈控制电流不至于饱和,以及人工势函数导数在控制过程中小于零.仿真表明,所设计的控制律能生成编队构型并避免碰撞,而且具有一定的抗干扰性.Abstract: The relative motion of electromagnetic satellites is activated by electromagnetic force between satellites. The control law should satisfy two conditions, low calculation burden and ability of avoiding collision. The control objects are relative motion vectors of satellites to reference satellite. The analysis of feasibility of electromagnetic force control to satellite formation shows that relative motion of satellites can be controlled if electromagnetic strengths of satellites can be controlled. An artificial potential function was designed. Relative positions and relative velocities are treated as variables. The value of the function is minimal when control object is got, and it is local maximal when collision happens. By regulating control parameters in real time, which the current of electromagnetic coils won-t beyond upper limit is regarded. The derivative of artificial potential function is less than zeros in control process. Simulation shows that electromagnetic satellites configuration would be generated when control law was imposed with interference.
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