基于遗传算法的卫星制导炸弹次最优制导律设计

A suboptimal guidance law for satellite guided bombs using a genetic algorithm

为了满足卫星制导炸弹大着地角的弹道要求,基于遗传算法进行了次最优制导律的设计.建立了卫星制导炸弹运动状态方程,在此基础上导出了次最优制导律的表示形式,确定需要讨论的参数;结合遗传算法,进行建立种群、复制、交叉、变异等操作,经过迭代得到优化参数.利用设计所得的制导律进行了卫星制导炸弹六自由度全弹道仿真,与使用比例导引律的计算进行了比较,弹着角增加了60%,效果显著.由于遗传算法对问题的种类具有鲁棒性,该方法可以应用于各种带约束条件的次最优制导律的设计.

A suboptimal guidance law was designed based on genetic algorithms to command satellite guided bombs which navigate within a small angle of fall. Motion state equations were established in order to derive the suboptimal guidance law and determine the relevant parameters. After evaluating the effects of each parameter through exhaus- tive calculation, critical parameters were determined and optimization performed using a genetic algorithm which provided operations such as colony foundation, reproduction, crossover, mutation, and so on. Ballistic simulations with six degrees of freedom navigation were made using both the suboptimal guidance law and general proportional navigation guidance law. The proposed method effectively increased the impact angle by 60 percent. The proposed method can be applied to all kinds of suboptimal guidance law designs with constraint conditions, since the genetic algorithms are robust to these problems.