采用混合遗传算法设计最短时间4冲量转移轨道

转移轨道的设计与优化是航天器完成空间任务的基础性工作,研究最短时间转移轨道的设计方法对执行空间快速响应的航天任务具有重要意义.本文通过分析4冲量轨道转移的物理过程,将轨道优化问题转化为参数优化问题,从而建立了多冲量轨道转移的数学模型:而后采用混合遗传算设计最优轨道,设计了串联型和嵌入型两种不同的混合结构,并选择一种具有自适应性的退火惩罚函数策略来处理约束条件;最后通过数值仿真验证了算法的有效性.仿真结果表明,本文设计的两种混合遗传算法能够很好地处理多冲量变轨的优化问题,特别在处理多约束条件时十分灵活、有效.

Four Impulses Minimum Time Transfer Orbit Design Using Hybrid Genetic Algorithm

Transfer orbit design and optimization is a fundamental work concerning the space mission of spacecraft and the study of minimum time transfer orbit design approach is of great significance for a rapid response in space.By analyzing the physical course of four impulses orbit transfer, the orbit optimization problem is transformed to a parameter optimization problem.Accordingly, the mathematical model of multiple impulses orbit transfer is established.The hybrid genetic algorithm is chosen to optimize the transfer time, and two different hybrid structures are designed:a serial one and an embed one.In order to handle constraints flexibly, an adaptive annealing penalty function is selected.Finally, a numerical simulation is carried out to verify the effectiveness of the algorithm.The results show that the two hybrid genetic algorithms designed in this paper are efficient in solving the multiple impulses orbit transfer design problem, and especially flexible and effective in dealing with the multiple constraint optimization problem.