王异蕾1  龙祖强2  罗泽龙2

（1.衡阳师范学院南岳学院，湖南 衡阳 421008

2.衡阳师范学院物理与电子工程学院，湖南 衡阳 421002） 

摘要：区间二型模糊控制器的解析结构在系统稳定性分析中具有重要的作用。针对区间二型模糊控制器的解析结构推导过程繁琐、计算效率较低等问题，设计一种采用乘积型算子和Coupland-John降型算法的区间二型模糊控制器，并代入参数推导出其解析结构。新的区间二型模糊控制器的解析结构推导简便，不需迭代和分区，减少了计算量，易于进行性能分析和参数调节。

关键词：区间二型模糊控制器；解析结构；Coupland-John降型算法；乘积型算子；输入空间

中图分类号：TP273.4         文献标志码：A          文章编号：1674-2605(2023)02-0007-06

DOI：10.3969/j.issn.1674-2605.2023.02.007

Analytic Structure Derivation of Interval Type II Fuzzy Controller Using Coupland-John Reduction

WANG Yilei1　LONG Zuqiang2　LUO Zelong2

(1. Nanyue College of Hengyang Normal University, Hengyang  421008, China

2. College of Physics and Electronic Engineering, Hengyang Normal University, Hengyang 421002, China)

Abstract: The analytical structure of interval type II fuzzy controllers plays an important role in system stability analysis. To address the issues of tedious and inefficient derivation of the analytical structure of interval type 2 fuzzy controllers, a product type operator and Coupland-John reduction algorithm are designed for interval type 2 fuzzy controllers, and their analytical structure is derived by substituting parameters. The analytical structure derivation of the new interval type II fuzzy controller is simple, does not require iteration and partitioning, reduces computational complexity, and is easy to perform performance analysis and parameter adjustment.

Keywords: interval type ii fuzzy controller; analytic structure; Coupland-John reduction algorithm; product type operator; input space