Time-Optimal Multi-impulse Rendezvous Based on Genetic Algorithm

For the short-range rendezvous problem, an approach of time-optimal multi-impulse rendezvous was put forward using hybrid genetic algorithm. Firstly, based on the state transition matrix of T-H equation, the mathematical models of time-optimal multi-impulse rendezvous was established and transformed into a nonlinear optimization problem, In order to obtain the global solution efficiently, a hybrid optimizer combining the advantages of genetic algorithm and sequential quadratic programming algorithm is employed. The hybrid genetic algorithm was brought in for the global optimization of this problem to solve the impulse vectors and time needed for the rendezvous, finally, through the example of numerical simulation, the accuracy of the model of multi-impulse rendezvous and the validity of hybrid genetic algorithm to solve the problem were verified.