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Reference Function Based Spatiotemporal Fuzzy Logic Control Design Using Support Vector Regression Learning
Joint Authors
Zhang, Xian-Xia
Jiang, Ye
Wang, Bing
Ma, Shiwei
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-12
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This paper presents a reference function based 3D FLC design methodology using support vector regression (SVR) learning.
The concept of reference function is introduced to 3D FLC for the generation of 3D membership functions (MF), which enhance the capability of the 3D FLC to cope with more kinds of MFs.
The nonlinear mathematical expression of the reference function based 3D FLC is derived, and spatial fuzzy basis functions are defined.
Via relating spatial fuzzy basis functions of a 3D FLC to kernel functions of an SVR, an equivalence relationship between a 3D FLC and an SVR is established.
Therefore, a 3D FLC can be constructed using the learned results of an SVR.
Furthermore, the universal approximation capability of the proposed 3D fuzzy system is proven in terms of the finite covering theorem.
Finally, the proposed method is applied to a catalytic packed-bed reactor and simulation results have verified its effectiveness.
American Psychological Association (APA)
Zhang, Xian-Xia& Jiang, Ye& Ma, Shiwei& Wang, Bing. 2013. Reference Function Based Spatiotemporal Fuzzy Logic Control Design Using Support Vector Regression Learning. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-469941
Modern Language Association (MLA)
Zhang, Xian-Xia…[et al.]. Reference Function Based Spatiotemporal Fuzzy Logic Control Design Using Support Vector Regression Learning. Journal of Applied Mathematics No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-469941
American Medical Association (AMA)
Zhang, Xian-Xia& Jiang, Ye& Ma, Shiwei& Wang, Bing. Reference Function Based Spatiotemporal Fuzzy Logic Control Design Using Support Vector Regression Learning. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-469941
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-469941