卫星编队构形重构的螺旋控制策略

Spiral Control Strategies for Satellite Formation Reconfiguration

系统地探讨利用螺旋控制策略实现卫星编队的构形重构问题,并给出等速螺旋控制、加速螺旋控制、对数螺旋控制、加速对数螺旋控制等几种可行的控制策略。首先将相对运动方程的解看作某种螺线,代入到Hill方程中,推导出控制律,并进行仿真分析;继而通过理论推导,探讨初始状态和构形重构时间对重构结果的影响,给出构形重构条件;然后对各种螺旋控制策略进行比较;最后通过一个三星编队的构形重构实例,验证了利用螺旋控制策略实现卫星编队构形重构的优良性能。

Spiral control strategies in satellite formation reconfiguration were put forward and several methods such as uniform spiral, logarithmic spiral accelerated spiral and accelerated logarithmic spiral were investigated The solutions of relative motion were considered as some spiral and control laws were drawn from Hill＇s equation. By theoretical analysis and simulation, effects of initial state and reconfiguration duration were discussed and the prerequisites of formation reconfiguration were derived, Moreover, comparisons between spiral control schemes were given. Numerical results of a three-satellite formation reconfiguration show the merits of spiral control schemes.