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中国物理学会期刊

基于混沌蚂蚁群算法的Lorenz混沌系统的参数估计

CSTR: 32037.14.aps.56.51

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

CSTR: 32037.14.aps.56.51
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  • 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.

     

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