An optimization approach for satellites formation reconfiguration based on Genetic algorithm

Aiming at the formation reconfiguration problem, a fuel-optimal coordinate control approach for formation maneuver while satisfying the constraint of inter-satellite safe distance was presented. First, took the constraint of inter-satellite safe distance into consideration, a modified fuel consumption performance index was put forward. Based on the Pontryagin maximum Principle, a formation reconfiguration mathematical model of two point boundary value problem is established. Then, took the duration of formation reconfiguration and initial states of satellites on target formation as optimized variables, and considered the states constraint of the end time of formation reconfiguration, the two point boundary value problem is solved numerically by searching the minimum value of the performance index based on Genetic Algorithm. In the end, mathematical simulation show that the optimal control model of formation reconfiguration is correct, and the method of solving the two point boundary value problem by Genetic Algorithm is effective.