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

WANG Jia-yin; LIU Min; LI Hong-xing

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

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- Analysis of Difference Between Control Function and Interpolation Expression of SISO Fuzzy Controller
- Acta Electronica Sinica Vol. 37, Issue 2, Pages: 424-428(2009)
- 作者机构：
  
  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
  4. 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
  5. 清华大学自动化系北京,100084
  6. 大连理工大学电信学院辽宁大连,116023
- 作者简介：
- 基金信息：
- DOI：
  CLC： O159
- Published：2009
- 稿件说明：
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WANG Jia-yin, LIU Min, LI Hong-xing. Analysis of Difference Between Control Function and Interpolation Expression of SISO Fuzzy Controller[J]. Acta Electronica Sinica, 2009, 37(2): 424-428.
DOI：

WANG Jia-yin, LIU Min, LI Hong-xing. Analysis of Difference Between Control Function and Interpolation Expression of SISO Fuzzy Controller[J]. Acta Electronica Sinica, 2009, 37(2): 424-428. DOI：

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.

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.

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