基于混沌蚂蚁群算法的Lorenz混沌系统的参数估计  

Parameter estimation for Lorenz chaotic systems based on chaotic ant swarm algorithm

作　　者：李丽香[1] 彭海朋[1] 杨义先[1] 王向东[2] 

机构地区：[1]北京邮电大学信息工程学院信息安全中心 [2]沈阳工业大学信息科学与工程学院,沈阳110023

出　　处：《物理学报》2007年第1期51-55,共5页Acta Physica Sinica

基　　金：教育部科学技术研究重点项目(批准号:205033);国家重点基础研究发展规划(973)项目(批准号:TG1999035804);国家自然科学基金(批准号:90204017;60372094;60673098);北京市自然科学基金(批准号:4062025)资助的课题~~

摘　　要：通过构造一个适当的适应度函数,首先将混沌系统的参数估计问题转化为参数的寻优问题,之后利用混沌蚂蚁群算法的全局优化搜索能力对这个问题进行求解.以典型的Lorenz混沌系统为例进行了数值模拟.实验数值仿真结果表明,使用该方法可以对混沌系统的未知参数进行有效地估计.The chaotic ant swarm algorithm is a chaos optimization algorithm based on swarm intelligence theory which was inspired by the chaotic and self-organizing behavior of the ants in nature. It includes both effects of chaotic dynamics and swarm-based search. Through the construction of a suitable fitness function, the problem of parameter estimation of the chaotic system is converted to a problem of parameter optimization which could be solved via chaotic ant swarm algorithm. Chaotic ant swarm algorithm has the ability of global search. A numerical simulation on the well-known Lorenz chaotic system is conducted. Simulation results show that the proposed method is effective in parameter estimation of the chaotic system.

关 键 词：参数估计 LORENZ混沌系统 混沌蚂蚁群算法 数值优化 

分 类 号：O231[理学—运筹学与控制论]