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 the 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.