CAJ | 학술논문

针对航天器交会远程导引段时间非固定多脉冲轨道转移问题，研究多约束条件下且脉冲数未知的共面椭圆交会燃料最省导引律设计。因不同脉冲数将造成多脉冲优化问题求解变量和约束条件个数随之变化，为此在遗传算法中引入隐式基因使得种群中样本个体的基因具有长度可变特性，在单层迭代框架下可同时解出最优脉冲数和脉冲矢量。为进一步改善性能指标还将端点滑行时间作为优化变量，使得在最佳转移时刻进行离轨脉冲作用。寻优过程首先由遗传算法给出设计变量估计值，再由序列二次规划（sequential quadratic program-ming，SQP）求解全局最优解。最后基于主矢量和最优控制判据，表明所设计的含隐式基因混合遗传算法是求解复杂问题的有效全局优化方法，可解决一类优化变量个数可变的最优多脉冲远程导引律设计问题。
침대항천기교회원정도인단시간비고정다맥충궤도전이문제，연구다약속조건하차맥충수미지적공면타원교회연료최성도인률설계。인불동맥충수장조성다맥충우화문제구해변량화약속조건개수수지변화，위차재유전산법중인입은식기인사득충군중양본개체적기인구유장도가변특성，재단층질대광가하가동시해출최우맥충수화맥충시량。위진일보개선성능지표환장단점활행시간작위우화변량，사득재최가전이시각진행리궤맥충작용。심우과정수선유유전산법급출설계변량고계치，재유서렬이차규화（sequential quadratic program-ming，SQP）구해전국최우해。최후기우주시량화최우공제판거，표명소설계적함은식기인혼합유전산법시구해복잡문제적유효전국우화방법，가해결일류우화변량개수가변적최우다맥충원정도인률설계문제。
The spacecraft rendezvous problem of transferring between two coplanar elliptical orbits with free time is studied,which looks for multi-impulsive transfer at the expense of fuel optimization under lots of con-straints.Different number of pulses will change the number of variables to solve optimization problems. Through the introduction of hidden genes in the genetic algorithm,the individuals in the gene groups have a var-iable-length feature.The optimal solution to the number of pulses and impulse vectors is obtained at the same time.In order to further improve the optimal solution,an initial coast is introduced to be as an optimal variable, which results in the just pulse moment of de-orbit for chaser.Firstly,a genetic algorithm is applied to find ini-tial guess values,and then the sequential quadratic programming (SQP)algorithm is used to iteratively improve the above non-optimal solution and converge to a global optimal transferring.Finally,on the base of the primer vector theory and control optimal criterion,it indicates that the hidden genes hybrid genetic algorithm can serve as an effective optimization method to solve effectively a class of complex problems,in addition the multi-pulse rendez-vous guidance law design which includes variable number of variables optimized also can successfully be done.