摘要
把从雷达测速数据提取弹丸符合阻力系数曲线问题看成一个以符合阻力系数曲线为控制函数的奇异最优跟踪控制问题,给出了直接数值求解的具体算法;还应用了亏数为2的三次样条多项式表述符合阻力系数曲线的解法,使泛函极小问题转化为多变量参数极小问题,有效地克服了该奇异最优控制问题直接数值解法上的困难。处理了真实打靶数据,其结果表明,本文方法及软件有一定的实际应用价值。
In this paper,identifying(extracting)fitting drag coeffi-cient curve from radar measured velocity data is regarded as a singularoptimal tracking control problem where the fitting drag curve is thecontrol function.The description of this singular optimal control prob-lem and the conjugate gradient method to solve the problem are given.Also,for comparative purpose,the method which applies the piecewiseHermite type polynomials to present the fitting drag coefficient curve isgiven,which converts the functional minimization problem to multiva-riable parametric minimization problem and overcomes some disadvantagesin computational cost.By using the methods and relevant software ofthis paper,the result redueted from real firing practice data shows thepositive applicable value of the work of the present article.
关键词
飞行力学
气动辨识
外弹道
控制
optimal control
flight dynamics
aerodynamic
identification
exterior ballistics
data reduction
