文献类型：期刊文献

英文题名：Metaheuristic optimization-based identification of fractional-order systems under stable distribution noises

作者：Du, Wei[1];Tong, Le[2];Tang, Yang[1]

机构：[1]East China Univ Sci & Technol, Minist Educ, Key Lab Adv Control & Optimizat Chem Proc, Shanghai 200237, Peoples R China;[2]Shanghai Normal Univ, Coll Informat Mech & Elect Engn, Shanghai 200234, Peoples R China

年份：2018

卷号：382

期号：34

起止页码：2313

外文期刊名：PHYSICS LETTERS A

收录：;EI(收录号：20202208737667);WOS:【SCI-EXPANDED(收录号:WOS:000441684600003)】；

基金：This research was supported in part by the National Natural Science Foundation of China under Grant No. 61703163, in part by Shanghai Sailing Program under Grant No. 17YF1427700, in part by the China Postdoctoral Science Foundation under Grant No. 2016M601525, and in part by the Fundamental Research Funds for the Central Universities under Grant No. 222201714028.

语种：英文

外文关键词：Fractional-order chaotic system identification; Stable distribution noises; Nonlinear optimization; Differential evolution

摘要：This research investigates the identification problem of fractional-order chaotic systems under stable distribution noises. A powerful metaheuristic optimization method called composite differential evolution is used for the identification of the fractional-order Lorenz and Chen systems in the noisy environment, where the structure, parameters, orders and initial values of the systems are all unknown. The identification accuracy is examined when the noise follows the three special cases of stable distributions, i.e., Gaussian, Cauchy and Levy distributions. In addition, the impact of the four parameters of stable distributions on the identification accuracy is discussed. The experimental results show that the identification error becomes larger when the noise switches from Gaussian to Cauchy and Levy distributions. The results also turn out that the location of the stable distribution noise plays the most substantial role in the identification accuracy. (C) 2018 Elsevier B.V. All rights reserved.