黄金分割法用于PID参数优化整定技术的研究

在原有的用一维黄金分割法进行单变量参数寻优的基础上,结合优化理论中的分形法思想,提出将二维和三维黄金分割法应用于PID控制器多个参数的同步优化整定的新方法.介绍了PID控制参数整定问题和黄金分割法基本思想,重点对二维黄金分割法基本思想和寻优原理进行分析,并给出了二维黄金分割参数寻优算法.通过实例验证,该方法寻优过程完善、收敛速度快,能够快速、准确地找出最佳整定参数.

Optimized PID parameter adjustment technology based on golden section law

Based on the single parameter optimization using golden section law, combined with the allotting shape law,a new method is brought forward that extends golden section law to two-dimensional flat surface and three-dimensional space,applied to the paramenters synchronous adjustment of PID controller for optimization. The PID paramenter adjusting problem and the golden section law are expatiated. Then, the two-dimensional golden section law and the optimizing principle are analyzed and the algorithm of two-dimensional golden section parameter optimization is given. The example result shows that it is quick and accurate for this method to find out the best adjusting parameter. The optimizing process is perfect,and the convergence speed is high.