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首页> 外文期刊>IEEE transactions on systems, man, and cybernetics. Part B, Cybernetics >A reduction approach for fuzzy rule bases of fuzzy controllers
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A reduction approach for fuzzy rule bases of fuzzy controllers

机译：模糊控制器的模糊规则库的约简方法

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摘要

In this paper, a new approach to reducing the number of rules in a given fuzzy rule base of a fuzzy controller is presented. The fuzzy mechanism of the fuzzy controller under consideration consists of the product-sum inference, singleton output consequents and centroid defuzzification. The output consequents in the cells of the rule table are collected and represented as an output consequent matrix. The feature of the output consequent matrix is extracted by the singular values of the matrix. The output consequent matrix is reasonably approximated with a dominant consequent matrix. Also, the elements of the dominant consequent matrix is determined to minimize the approximation error function. Then the size of the dominant consequent matrix (the size of the fuzzy rule base) is reduced through the rule combination approach. The scaling factors for the fuzzy controller with the reduced rule table are adjusted to have the control system satisfy the performance indices. The effectiveness of the proposed approach is shown using simulation and experimental results.
机译：本文提出了一种在给定的模糊控制器的模糊规则库中减少规则数量的新方法。所考虑的模糊控制器的模糊机制包括乘积和推断，单例输出结果和质心去模糊。收集规则表的单元中的输出结果，并将其表示为输出结果矩阵。通过矩阵的奇异值提取输出结果矩阵的特征。输出结果矩阵与主导结果矩阵合理地近似。而且，确定主导结果矩阵的元素以最小化近似误差函数。然后，通过规则组合方法减小主导结果矩阵的大小（模糊规则库的大小）。调节规则表减少的模糊控制器的比例因子，以使控制系统满足性能指标。仿真和实验结果表明了该方法的有效性。

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