基于遗传算法的分段Chen系统的参数估计

Parameter Estimation for Piecewise-linear Chen System Based on Genetic Algorithm

对比研究了单种群遗传算法和多种群遗传算法在分段Chen系统参数估计中的应用,通过构造一个合适的适应度函数,将Chen系统的多参数估计问题转化成一个多参数的寻优问题,利用遗传算法全局寻优性对其进行计算。仿真结果表明,相对于采用单种群遗传算法估计分段Chen系统参数,多种群遗传算法在准确性、鲁棒性方面具有明显的优势。

In the paper, single population genetic algorithm and multi-group genetic algorithm were studied on the parameter estimation of the piecewise-linear Chen system. The problem of multiple parameter estimation was transformed into multi-parameter optimization problem by constructing an appropriate fitness function and numerical calculation was done with global optimization of genetic algorithm. The result shows that multi-group genetic algorithm has more ob- vious advantages in accuracy and robustness than single population genetic algorithm in estimating parameters on the piecewise-linear Chen system.