利用高斯伪谱法求解具有最大横程的再入轨迹  

Solution of reentry trajectory with maximum cross range by using Gauss pseudospectral method

作　　者：周文雅[1] 杨涤[1] 李顺利[1] 

机构地区：[1]哈尔滨工业大学航天工程系,黑龙江哈尔滨150001

出　　处：《系统工程与电子技术》2010年第5期1038-1042,共5页Systems Engineering and Electronics

摘　　要：为了使升力式飞行器再入大气层后取得最大横程,采用高斯伪谱方法求解最优再入轨迹。利用微分形式高斯伪谱方法将飞行器三自由度再入轨迹优化问题转化为非线性规划问题,选取高斯节点上的状态量和控制量作为待优化参数,并将最优性能指标选为横程最大,然后对再入轨迹进行了求解。通过与按最大升阻比飞行方案所得结果进行对比,表明按所提方法求取的再入轨迹优于后者。此外,仿真过程还说明高斯伪谱法对状态猜测值并不敏感,算法容易收敛,适用于轨迹优化问题的求解。The Gauss pseudospectral method（GPM） is used to solve the reentry trajectory of the lifting vehicle with the maximum cross range.The trajectory optimal problem of three-dimension reentry for the vehicle is transformed into a nonlinear programming problem through GPM with differential form.During solving the optimal trajectory,the state and control variables on Gauss nodes are chosen as parameters to be optimized,and the optimal performance index is the maximum cross range.By comparison,the reentry trajectory which is solved by GPM is better than that by the maximum L/D ratio method.Moreover,the simulation process indicates GPM is not sensitive to the estimate of motion states and is easier to converge,and thus it is effective to solve trajectory optimization problems.

关 键 词：飞行器控制技术 再入轨迹 高斯伪谱法 最大横程 非线性规划 

分 类 号：V412.4[航空宇航科学与技术—航空宇航推进理论与工程]