摘要
讨论了一种新的解决具有复杂约束的离散非线性动态优化问题的方法——将乘子法同Pontryagnin极大值原理相结合的迭代算法。以该算法为基础,解决了加热炉最小能耗控制问题。针对不同钢种,尤其是特种钢进行仿真计算,得出各自的最佳炉温设定曲线,获得了满意结果,并且就算法的具体应用得出重要结论。
This paper discusses about a new method in solving the nonliear discrete-time dynamic
optimzation problems with complex restrictions-an iterative calculation of combining
Multiplier Method with Pontryagin Maximum Principle. On the basis of this algorithm,we can solve the problem of the control for minimum consumption of furnace and make simulation calculation of various steel, especially special steel,give out their optimal furnace temperature curves. Thus the satisfying results are gained and the important conclusions about concrete application of this algorithm are made.
关键词
加热炉
能耗控制
the control for minimum consumption of furnace
multiplier method
maximum principle
augmented hamiltonian function
optimization
simulation