应用控制系统设计工具箱PIMCSD求解卫星编队重构问题

APPLYING CONTROL SYSTEM DESIGN TOOLBOX—PIMCSD IN SOLVING RECONFIGURATION OF SATELLITES FORMATION

利用线性时变系统终端约束最优控制方法,为椭圆轨道卫星编队的队形重构控制问题设计了均衡耗能最优控制器。由于描述椭圆轨道卫星编队相对运动的Lawden方程是时变方程,给卫星编队重构的最优控制器设计带来一定的困难。利用基于精细积分算法的控制系统设计工具箱—PIMCSD进行系统设计,求解卫星编队重构所需的时变最优反馈控制律和前馈控制律,最后给出了由三颗卫星组成的编队队形重构控制仿真计算结果。

By using optimal terminal constraint technique for linear time-varying system, an optimal energy consumption-balanced controller is designed for formation reconfiguration controlling issue of the satellites formation flying on elliptic orbitsNumerical computation is somewhat complex in designing such a control system due to Lawden equation,which describes the relative motion of satellites formation on elliptic orbit, is a time-varying equationTo overcome it ,the precise integration method-based control system designing （PIMCSD） toolbox is employed to devise the system, and is used to solve the optimal time-varying feed-forward and feed-back control laws required in the recoNfiguration of satellites formationAt last the simulated computing result of recontiguration control for a formation consisted of three satellites is presented.