[1]SHI Jianzhong,LI Rong,YANG Yong.An interval type 2 fuzzy PI controller design algorithm[J].CAAI Transactions on Intelligent Systems,2018,13(5):836-842.[doi:10.11992/tis.201703039]
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An interval type 2 fuzzy PI controller design algorithm

CAAI Transactions on Intelligent Systems[ISSN 1673-4785/CN 23-1538/TP] Volume: 13 Number of periods: 2018 5 Page number: 836-842 Column: 学术论文—机器学习 Public date: 2018-09-05
Title:
An interval type 2 fuzzy PI controller design algorithm
Author(s):
SHI Jianzhong;  LI Rong;  YANG Yong
School of Energy and Power Engineering, Nanjing Institute of Technology, Nanjing 211167, China
Keywords:
type-2 fuzzy sets; KM-type reduction; type-2 fuzzy control; type-2 fuzzy PI; uncertain domain; dynamic defuzzification; direct reduction; incremental PI
CLC:
TP273.4
DOI:
10.11992/tis.201703039
Abstract:
The interval type-2 fuzzy controllers outperform their type-1 counterparts in processing uncertainty; however, the type-2 fuzzy controller needs to be reduced, and the commonly used iterative reduction algorithms such as Karnik-Mendel (KM) algorithm are inefficient and difficult to use in real-time situations. In this paper, an interval type-2 fuzzy PI controller algorithm that combines the dynamic defuzzification method and direct reduction algorithm is proposed. The algorithm considers the effects of error and error variation on the controller output during reduction, thus avoiding iterative reduction such as in KM. Simulations of a second-order delay object and nonlinear object show that the proposed algorithm can effectively suppress the system overshoot and reduce the time of the system to reach steady state; furthermore, the controller outputs around the set value are smoother.
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