电子学报 ›› 2009, Vol. 37 ›› Issue (2): 424-428.

• 论文 • 上一篇    下一篇

单入单出模糊控制器控制函数与插值式的偏差分析

王加银1, 刘 民2, 李洪兴3   

  1. 1. 北京师范大学数学科学学院数学与复杂系统教育部重点实验室,北京 100875;2. 清华大学自动化系,北京 100084;3. 大连理工大学电信学院,辽宁大连 116023
  • 收稿日期:2007-03-19 修回日期:2008-10-10 出版日期:2009-02-25 发布日期:2009-02-25

Analysis of Difference Between Control Function and Interpolation Expression of SISO Fuzzy Controller

WANG Jia-yin1, LIU Min2, LI Hong-xing3   

  1. 1. School of Mathematical Sciences,Beijing Normal University,Key Laboratory of Mathematics and Complex System, Ministry of Education,Beijing 100875,China;2. Department of Automation,Tsinghua University,Beijing 100084,China;3. School of Electronic and Information Engineering,Dalian University of Technology,Dalian,Liaoning 116023,China
  • Received:2007-03-19 Revised:2008-10-10 Online:2009-02-25 Published:2009-02-25

摘要: 本文进一步分析了单入单出模糊控制器的插值机理,借助符号计算推导了模糊蕴涵算子分别选择取小算子和乘积算子时,单入单出模糊控制器控制函数的解析式;得到了控制函数与插值函数间的偏差表达式.最后本文给出了偏差的一个上界估计以及模糊控制器实际使用时确定规则数的公式.

关键词: 模糊控制器, 模糊划分, 插值式

Abstract: The interpolation mechanism of the single-input-single-output (SISO) fuzzy controller is further analyzed.Based on the symbol calculation,analytic expressions for the control function of the SISO fuzzy controller and the differences between the control function and the interpolation expression are derived,when the implication operator is specified as the min operator or the multiply operator.Then an upper bound estimation of the differences is given and the number of the fuzzy inference rules is selected.

Key words: fuzzy controller, fuzzy partition, interpolation expression

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