基于聚类方法的非均匀采样数据非线性系统模糊辨识

Hongwei Wang, Xia Hao, Jie Lian
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引用次数: 0

摘要

针对工业过程中存在大量非均匀采样非线性系统的实际控制问题,提出了本文的研究思路。通过对非均匀采样测量得到的多个局部提升线性模型进行加权组合,得到了非均匀采样非线性系统相应的输入输出关系。在此基础上,通过构造模糊隶属度函数作为加权组合表示,推导出模糊模型。在此基础上,提出了一种基于GK模糊聚类和递推最小二乘法的模糊识别算法。最后通过仿真算例验证了所提方法的有效性。
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Fuzzy Identification of Non-uniformly Sampled Data Nonlinear Systems Based on Clustering Method
This paper is motivated by the practical control considerations that non-uniformly sampled nonlinear systems are abundant in industrial process. The corresponding input-output relationship of non-uniformly sampled nonlinear systems is obtained by using the weighted combination of the multiple local lifted linear models acquired from non-uniformly sampled measurements. Further, fuzzy model is derived by constructing the fuzzy membership degree functions as the weighted combination representation. On this basis, we propose a fuzzy identification algorithm using GK fuzzy clustering and recursive least squared method. Finally, the simulation example is studied to demonstrate the effectiveness of the proposed method..
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