In order to generate an optimal reentry trajectory for an reusable launch vehicle , it proposes the differ-ential evolution algorithm and pseudo spectral method collaboratively to solve the multi -phase optimal problem . In the solving process , the pseudo spectral method deals with effectively various path and control constraints .Un-der appropriate initial guess values , the pseudo spectral method converges to the local optimal solution fast .The differential evolution algorithm is used to search for the best initial guess values to achieve the global optimal so -lution .Adding terminal error items in the fitness function , it obtains better terminal precision .Simulation results show that the collaborative optimal algorithm can design the multi -phase optimal trajectory with satisfactory per-formance .%为求解可重复使用运载器再入段的优化轨迹,针对多阶段优化问题,将差分进化算法与伪谱法结合,进行协同优化.利用伪谱法求解多约束多目标优化问题,选取合适的初始探测值,使其可较快收敛到局部最优解;差分进化算法用于搜索伪谱法的初始探测值,使其收敛于全局最优解,在适应度函数中加入终端误差项,以进一步缩小优化轨迹的终端误差.仿真结果表明:该协同优化方法能够有效设计多阶段优化轨迹,满足性能指标的要求.
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