最优控制数学模型的数值解法研究

应用于实际的控制理论模型很难求得解析解，为了求解卡车调度系统最优控制的数学模型，本文研究了模型的数值解法。将最大原理迭代和规划算法结合在一起，形成新的算法称之为最大原理迭代＋规划算法。此法在总体上采用最大原理迭代，在迭代的每个循环利用规划论求出局部最优。并编制了计算机程序。经实例解算表明该算法收敛快，程序运行可靠。

A Study of Numerical Solution for the Model of Optimal Control Theory

It is difficult to get analytic solution for a control theory model used in a real system. To solve the control theory model of truck dispatch system, a numerical solution of the model of control theory is studied in the paper. A new method, so-called Maximum principle iterative + programming method, has been established by putting Maximum principle iterative and programming method together. The method generally uses the Maximum principle iterative, and uses programming method in every circle to get the optimal solution in the circle. Its computer program is successfully constructed which has solved several models. The results indicated that the method converges quickly and the program performs reliably.