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一种非线性系统在线辨识的选择性递推方法
引用本文:周丽春,刘毅,金福江. 一种非线性系统在线辨识的选择性递推方法[J]. 化工学报, 2015, 66(1): 272-277. DOI: 10.11949/j.issn.0438-1157.20141481
作者姓名:周丽春  刘毅  金福江
作者单位:1.华侨大学信息科学与工程学院, 福建 厦门 361021;2.浙江工业大学过程装备及其再制造教育部工程研究中心, 浙江 杭州 310014
基金项目:国家自然科学基金项目(61273069)。@@@@supported by the National Natural Science Foundation of China
摘    要:针对非线性系统的在线辨识, 提出了一种选择性递推岭参数极限学习机方法。首先, 推导了岭参数极限学习机模型节点增加的递推算法, 以有效地更新在线模型。其次, 结合训练模型的相对误差, 提出模型节点递推增加的选择性策略, 以限制模型的复杂度, 获得更简单的递推辨识模型。通过一个典型非线性化工过程的在线辨识, 从多方面比较验证了所提出方法的简单有效, 更适合非线性过程的在线辨识。

关 键 词:非线性系统  动态建模  神经网络  递推算法  极限学习机  系统工程  
收稿时间:2014-09-30
修稿时间:2014-10-10

A selective recursive method for online identification of nonlinear systems
ZHOU Lichun,LIU Yi,JIN Fujiang. A selective recursive method for online identification of nonlinear systems[J]. Journal of Chemical Industry and Engineering(China), 2015, 66(1): 272-277. DOI: 10.11949/j.issn.0438-1157.20141481
Authors:ZHOU Lichun  LIU Yi  JIN Fujiang
Affiliation:1.School of Information Science and Engineering, Huaqiao University, Xiamen 361021, Fujian, China;2.Engineering Research Center of Process Equipment and Remanufacturing (Ministry of Education), Zhejiang University of Technology, Hangzhou 310014, Zhejiang, China
Abstract:A selective recursive ridge extreme learning machine is proposed for online identification of nonlinear systems. First, a recursive algorithm of ridge extreme learning machine with nodes growing is formulated, which can update the online model in an efficient manner. Additionally, by incorporating the relative predictive error of the training set, a strategy by selectively increasing nodes is proposed to restrict the complexity of the identification model. Consequently, a more simple identification model with the recursive update manner can be obtained. Multi-fold simulations on a benchmark nonlinear chemical process have been investigated. And the comparison results verify the simplicity and superiority of the proposed approach, which is more suitable for online identification of nonlinear systems.
Keywords:nonlinear systems  dynamic modeling  neural networks  recursive algorithm  extreme learning machine  systems engineering
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