标题：Optimal control for far-distance rapid cooperative rendezvous
作者：Feng, Wei-ming; Ren, Fei; Shi, Lei
作者机构：[Feng, Wei-ming; Ren, Fei; Shi, Lei] Shandong Univ, Dept Engn Mech, Jinan 250062, Peoples R China.
通讯作者地址：[Feng, WM]Shandong Univ, Dept Engn Mech, Jinan 250062, Peoples R China.
来源：PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART G-JOURNAL OF AEROSPACE ENGINEERING
关键词：Far-distance cooperative rendezvous; genetic algorithm; optimal control;; particle swam optimization; sequential quadratic programming
摘要：This study investigated the far-distance cooperative rendezvous problem for two spacecrafts. The orbital dynamics equations were represented based on the orbital elements with an improved vernal equinox and were normalized. Pontryagin's extremum principle was introduced into the dynamics equations and the co-state equations were obtained. A performance evaluation function was created by particle swarm optimization algorithm based on simulated annealing. The convergent co-state initial vector was obtained using an improved particle swarm optimization algorithm. The initial vector was set as the initial value for optimization and a rapid small-population genetic algorithm was applied, before the approximate global optimum was obtained rapidly. The fine adjustment of the search process was performed based on sequential quadratic programming and the results were sufficiently precise. The process of optimization was simulated for problems that involved far-distance coplanar cooperative rendezvous and active-passive rendezvous, which showed that cooperative rendezvous had more advantages than active-passive rendezvous in terms of fuel saving and time.