物理学报Issue(1)：019203-1-019203-10,10.DOI:10.7498/aps.63.019203
混沌系统中参数估计的演化建模方法
Evolutionary mo deling for parameter estimation for chaotic system
摘要
Abstract
On the basis of evolutionary algorithm, a novel method for parameter estimation of nonlinear dynamic equations is given in the present paper. Numerical tests indicate that the unknown parameters all can be estimated quickly and accurately whether the partial parameters are unknown or all parameters are unknown in the classic Lorenz equation. However, it is found that the convergence rate of the new algorithm is relatively slow when multiple unknown parameters are estimated simultaneously. To solve this problem, a corresponding improvement of measure is proposed, namely, a constraint mechanism is taken during the variation operation of evolutionary algorithm. The improvement is mainly based on the characteristic that the longer the running time of the evolutionary algorithm, the smaller the range of variation of the estimated parameters. Results indicate that the searching speed of the algorithm is greatly improved by using the improved estimation parameter project.关键词
混沌系统/参数估计/演化算法Key words
chaotic system/parameter estimation/evolutionary algorithm引用本文复制引用
王柳,何文平,万仕全,廖乐健,何涛..混沌系统中参数估计的演化建模方法[J].物理学报,2014,(1):019203-1-019203-10,10.基金项目
全球变化研究国家重大科学研究计划(批准号:2012CB955902和2013CB329605)、国家自然科学基金(批准号:41275074,41005041和41175067)和公益性行业(气象)科研专项(批准号：GYHY201106015和GYHY201106016)资助的课题.@@@@Project supported by the National Basic Research Program of China (Grant Nos.2012CB955902,2013CB329605), the National Natural Science Foundation of China (Grant Nos.41275074,41005041,41175084), and the Special Scientific Research Fund of Meteorological Public Welfare Profession of China (Grant Nos. GYHY201106015, GYHY201106016) （批准号:2012CB955902和2013CB329605）
