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基于分布均匀度的自适应蚁群算法最优PID控制
引用本文:彭沛夫,胡斌,张桂芳,彭理莉. 基于分布均匀度的自适应蚁群算法最优PID控制[J]. 湖南师范大学自然科学学报, 2006, 29(1): 41-46
作者姓名:彭沛夫  胡斌  张桂芳  彭理莉
作者单位:1. 湖南师范大学物理与信息科学学院,中国,长沙,410081
2. 中南大学信息工程学院,中国,长沙,410012
基金项目:湖南省自然科学基金资助项目(03JJy3089)
摘    要:蚁群算法是一种启发式算法,在解决组合优化类问题方面具有突出的适用特征,但由于蚁群算法按一种固定不变的模式更新信息量,确定每次路径的选择概率,故存在早熟停滞现象,且收敛速度较慢.为了克服这些缺陷,提出了一种基于分布均匀度的自适应蚁群算法优化PID控制的方法,该方法克服了蚁群算法的不足,较好地实现了PID控制参数Kp、Ti、Td的优化,系统单位阶跃响应超调量σ和调整时间ts获得改善,并具有广泛的应用前景.

关 键 词:分布均匀度  蚁群算法  信息素  PID控制  聚度
文章编号:1000-2537(2005)04-0041-06
收稿时间:2004-12-16
修稿时间:2004-12-16

The Best PID Control of the Self-Adaptive Ant Colony Algorithm Based on Equilibrium
PENG Pei-fu,HU Bing,ZHANG Gui-fang,PENG Li-li. The Best PID Control of the Self-Adaptive Ant Colony Algorithm Based on Equilibrium[J]. Journal of Natural Science of Hunan Normal University, 2006, 29(1): 41-46
Authors:PENG Pei-fu  HU Bing  ZHANG Gui-fang  PENG Li-li
Affiliation:1. College Physics and Information Science, Hunan Normal University, Changsha 410081, China; 2. College of Imformation Engineering, Central South University, Changsha 410012, China
Abstract:Ant colony algorithm is a way of heuristic, which has the fit character for solving complicated combinatorial optimization problems. However, it has some shortcomings such as low convergent speed and easier occurring of stagnation behavior, because it ascertains the selective probability of every trail based on the change information with a stable mode. We present a way of PID control of the ant colony algorithm based on equilibrium of distributing, which overcomes the shortcomings of the ant colony algorithm, finishes optimizing the PID control parameters Kp, Td, Ti and improves the overshoot of step response to the system a and the adjusted time t3. The algorithm has a wide foreground in application.
Keywords:equilibrium of distribution  ant colony algorithm  pheromone  PID control  fusion
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