A PSO algorithm of multiple impulses guidance and control for GEO space robot

In far range proximity of GEO on-orbit service, a space robot cannot reach desired position exactly by using two impulses C-W guidance and control law. To overcome this problem, a multiple impulses C-W guidance and control law with mid-correction is proposed. The guidance problem is transformed to nonlinear programming with constraints according to the error of final position. The fuel optimal solution is gotten by Particle Swarm Optimization algorithm with constraints. Firstly, the model of multiple impulses guidance is produced based on C-W law. Secondly, the detail of fuel optimal solution algorithm is presented by using PSO. Thirdly, numerical simulations are studied to verify the PSO algorithm of multiple impulses guidance under different conditions. The results show that this method is feasible and effective.