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基于聚类和SVD算法的模糊逻辑系统结构辨识
引用本文:祖家奎,戴冠中,郭淳生,卢京潮. 基于聚类和SVD算法的模糊逻辑系统结构辨识[J]. 控制理论与应用, 2003, 20(4): 615-618
作者姓名:祖家奎  戴冠中  郭淳生  卢京潮
作者单位:1. 南京航空航天大学,超声电机研究中心,江苏,南京,210016;西北工业大学,自动控制系,陕西,西安,710072
2. 西北工业大学,自动控制系,陕西,西安,710072
3. 南京航空航天大学,超声电机研究中心,江苏,南京,210016
摘    要:为了研究模糊逻辑系统新的结构辨识方法, 提出采用基于山峰函数的减法聚类算法构造模糊逻辑系统的初始结构, 并利用奇异值分解(SVD)算法分析了模糊规则与奇异值、累积贡献率以及索引向量的关系, 从而实现了模糊逻辑结构的优化. 最后, 对该算法的可行性和有效性进行了仿真验证和性能比较, 取得了较好的效果.

关 键 词:减法聚类   奇异值分解   模糊逻辑系统   结构辨识
文章编号:1000-8152(2003)04-0615-04
收稿时间:2001-04-23
修稿时间:2001-04-23

Structure identification of fuzzy logic system based on clustering and SVD algorithm
ZU Jia-kui,DAI Guan-zhong,ZHAO Chun-sheng and LU Jing-chao. Structure identification of fuzzy logic system based on clustering and SVD algorithm[J]. Control Theory & Applications, 2003, 20(4): 615-618
Authors:ZU Jia-kui  DAI Guan-zhong  ZHAO Chun-sheng  LU Jing-chao
Affiliation:Research Center of Ultrasonic Motors, Nanjing University of Aeronautics and Astronautics, Jiangsu Nanjing 210016, China; Department of Automatic Control, Northwestern Polytechnical University, Shanxi Xi'an 710072, China;Department of Automatic Control, Northwestern Polytechnical University, Shanxi Xi'an 710072, China;Department of Automatic Control, Northwestern Polytechnical University, Shanxi Xi'an 710072, China;Department of Automatic Control, Northwestern Polytechnical University, Shanxi Xi'an 710072, China
Abstract:Aimed to explore the new algorithms of structure identification for fuzzy logic systems, a substration clustering algorithm based on mountain functions to set up the initial fuzzy logic structure was used, and singular value decomposition (SVD) was adopted to analyze the relationships between fuzzy rules and singular values, cumulative contribution ratios, index vectors. Meanwhile, the optimized structure of fuzzy model was obtained. Finally, simulations and performance comparison show that the optimized algorithm was feasible and effective.
Keywords:subtraction clustering   singular value decomposition (SVD)   fuzzy logic system   structure identification
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