基于伪谱方法的机动弹道优化研究  

The Research on Maneuverable Trajectory Optimization Based on Pseudo-spectral Method

作　　者：范文锋[1] 许波[1] 郝昀[1] 

机构地区：[1]北京机电工程总体设计部,北京100854

出　　处：《弹箭与制导学报》2013年第4期138-141,共4页Journal of Projectiles,Rockets,Missiles and Guidance

摘　　要：文中从多约束最优控制的角度对最优机动弹道进行了研究。首先建立无量纲化的弹道动力学方程组并提炼出关键性能参数;其次使用Legendre伪谱方法将多约束的机动弹道优化问题转化为非线性规划问题,并采用序列二次规划方法进行求解。优化算例结果表明文中的优化模型与优化方法是合理可行的。此外,对弹道模型性能参数与最优机动射程之间的关系进行分析,结果表明:最大升阻比对机动射程影响较大,参考升重比对机动射程具有一定影响。The maneuverable trajectory optimization issues were addressed from ttle point of view of optimal control with multi-constraints. First, dimensionless dynamic equations of maneuverable trajectory were formulated and critical parameters were found. Second, the Legendre pseudo-spectral method was adopted for transferring the optimal control problem into non-linear programming formulation solved by the SQP method. A numerical example was tested to explain the method＇ s rationality and effectiveness. In addition, relations between critical parameters and maximum range were resolved, and results illustrate that the maximum lift-to-drag ratio is vital for maximum range and the reference lift-to-weight ratio has some influence on maximum range.

关 键 词：伪谱方法 机动弹道 弹道优化 参考升重比 

分 类 号：O315[理学—一般力学与力学基础]