| 梯度微粒群优化算法及其收敛性分析 |
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| 引用本文： | 肖健梅,李军军,王锡淮.梯度微粒群优化算法及其收敛性分析[J].控制与决策,2009,24(4). |
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| 作者姓名： | 肖健梅 李军军 王锡淮 |
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| 作者单位： | 1. 上海海事大学,电气自动化系,上海,200135
2. 上海海洋大学,电气工程系,上海,201306 |
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| 基金项目： | 上海市教委重点学科建设项目，上海市教委科研创新项目 |
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| 摘 要： | 针对标准微粒群优化算法微粒运动轨迹的收敛性进行了分析.给出并证明了微粒运动轨迹收敛的充分条件.提出一种简便的等高线图判别法,该方法能够通过参数的位置判断微粒轨迹是否收敛并衡量收敛速度.为提高算法的收敛速度.构造出一种梯度微粒群优化算法,给出并证明了该方法收敛的充分条件.仿真结果表明,梯度微粒群优化算法具有优良的搜索性能.
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| 关 键 词： | 微粒群优化 收敛性 梯度 |
Convergence analysis of particle swarm optimization and its improved algorithm based on gradient |
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| XIAO Jian-mei,LI Jun-jun,WANG Xi-huai.Convergence analysis of particle swarm optimization and its improved algorithm based on gradient[J].Control and Decision,2009,24(4). |
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| Authors: | XIAO Jian-mei LI Jun-jun WANG Xi-huai |
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| Affiliation: | 1.Department of Electrical and Automation;Shanghai Maritime University;Shanghai 200135;China;2.Department of Electrical Engineering;Shanghai Ocean University;Shanghai 201306;China. |
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| Abstract: | The convergence of standard particle swarm optimization algorithm is studied. The sufficient condition for the convergence of the algorithm is given and proved. And a kind of convenient contour map discriminance is proposed. This discriminance can be used to judge if the algorithm is convergent and measure the convergence rate. A sort of gradient particle swarm optimization algorithm is presented to enhance the convergence rate of the algorithm. The sufficient condition for the convergence of this method is... |
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| Keywords: | Particle swarm optimization Convergence Gradient |
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