Journal of Applied Mathematics

  • J. Appl. Math.
  • Volume 2012, Special Issue (2012), Article ID 841609, 24 pages.

A Clustering and SVM Regression Learning-Based Spatiotemporal Fuzzy Logic Controller with Interpretable Structure for Spatially Distributed Systems

Xian-xia Zhang, Jun-da Qi, Bai-li Su, Shi-wei Ma, and Hong-bo Liu

Full-text: Open access

Abstract

Many industrial processes and physical systems are spatially distributed systems. Recently, a novel 3-D FLC was developed for such systems. The previous study on the 3-D FLC was concentrated on an expert knowledge-based approach. However, in most of situations, we may lack the expert knowledge, while input-output data sets hidden with effective control laws are usually available. Under such circumstance, a data-driven approach could be a very effective way to design the 3-D FLC. In this study, we aim at developing a new 3-D FLC design methodology based on clustering and support vector machine (SVM) regression. The design consists of three parts: initial rule generation, rule-base simplification, and parameter learning. Firstly, the initial rules are extracted by a nearest neighborhood clustering algorithm with Frobenius norm as a distance. Secondly, the initial rule-base is simplified by merging similar 3-D fuzzy sets and similar 3-D fuzzy rules based on similarity measure technique. Thirdly, the consequent parameters are learned by a linear SVM regression algorithm. Additionally, the universal approximation capability of the proposed 3-D fuzzy system is discussed. Finally, the control of a catalytic packed-bed reactor is taken as an application to demonstrate the effectiveness of the proposed 3-D FLC design.

Article information

Source
J. Appl. Math., Volume 2012, Special Issue (2012), Article ID 841609, 24 pages.

Dates
First available in Project Euclid: 3 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1357178274

Digital Object Identifier
doi:10.1155/2012/841609

Mathematical Reviews number (MathSciNet)
MR2965715

Zentralblatt MATH identifier
1251.93075

Citation

Zhang, Xian-xia; Qi, Jun-da; Su, Bai-li; Ma, Shi-wei; Liu, Hong-bo. A Clustering and SVM Regression Learning-Based Spatiotemporal Fuzzy Logic Controller with Interpretable Structure for Spatially Distributed Systems. J. Appl. Math. 2012, Special Issue (2012), Article ID 841609, 24 pages. doi:10.1155/2012/841609. https://projecteuclid.org/euclid.jam/1357178274


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