Derivation and analysis on the analytical structure of interval type-2 fuzzy controller with two nonlinear fuzzy sets for each input variable

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	Derivation and analysis on the analytical structure of interval type-2 fuzzy controller with two nonlinear fuzzy sets for each input variable
	Lei, Bin-bin 1; Duan, Xue-chao 1; Bao, Hong 1; Xu, Qian2
刊名	FRONTIERS OF INFORMATION TECHNOLOGY & ELECTRONIC ENGINEERING
	2016-06-01
通讯作者邮箱	18717368076@163.com
卷号	17 期号:6 页码:587-602
关键词	Interval type-2 fuzzy controller Analytical structure Karnik-Mendel type reducer
ISSN号	2095-9184
通讯作者	Lei, Bin-bin
英文摘要	Type-2 fuzzy controllers have been mostly viewed as black-box function generators. Revealing the analytical structure of any type-2 fuzzy controller is important as it will deepen our understanding of how and why a type-2 fuzzy controller functions and lay a foundation for more rigorous system analysis and design. In this study, we derive and analyze the analytical structure of an interval type-2 fuzzy controller that uses the following identical elements: two nonlinear interval type-2 input fuzzy sets for each variable, four interval type-2 singleton output fuzzy sets, a Zadeh AND operator, and the Karnik-Mendel type reducer. Through dividing the input space of the interval type-2 fuzzy controller into 15 partitions, the input-output relationship for each local region is derived. Our derivation shows explicitly that the controller is approximately equivalent to a nonlinear proportional integral or proportional differential controller with variable gains. Furthermore, by comparing with the analytical structure of its type-1 counterpart, potential advantages of the interval type-2 fuzzy controller are analyzed. Finally, the reliability of the analysis results and the effectiveness of the interval type-2 fuzzy controller are verified by a simulation and an experiment.
WOS标题词	Science & Technology ; Technology
类目[WOS]	Computer Science, Information Systems ; Computer Science, Software Engineering ; Engineering, Electrical & Electronic
研究领域[WOS]	Computer Science ; Engineering
关键词[WOS]	PD CONTROLLERS ; PI
收录类别	SCI
语种	英语
WOS记录号	WOS:000377920700009
内容类型	期刊论文
源URL	[http://ir.xao.ac.cn/handle/45760611-7/1402]
专题	射电天文天线组新疆天文台_射电天文研究室新疆天文台_110米口径全可动射电望远镜（SmART）_110米大口径全可动射电望远镜关键技术研究（973项目）_课题2：复杂环境下天线结构保型与高精度指向控制
作者单位	1.Xidian Univ, MOE Key Lab Elect Equipment Struct Design, Xian 710071, Peoples R China 2.Chinese Acad Sci, Xinjiang Observ, Natl Astron Observ, Urumqi 830011, Peoples R China
推荐引用方式 GB/T 7714	Lei, Bin-bin,Duan, Xue-chao,Bao, Hong,et al. Derivation and analysis on the analytical structure of interval type-2 fuzzy controller with two nonlinear fuzzy sets for each input variable[J]. FRONTIERS OF INFORMATION TECHNOLOGY & ELECTRONIC ENGINEERING,2016,17(6):587-602.
APA	Lei, Bin-bin,Duan, Xue-chao,Bao, Hong,&Xu, Qian.(2016).Derivation and analysis on the analytical structure of interval type-2 fuzzy controller with two nonlinear fuzzy sets for each input variable.FRONTIERS OF INFORMATION TECHNOLOGY & ELECTRONIC ENGINEERING,17(6),587-602.
MLA	Lei, Bin-bin,et al."Derivation and analysis on the analytical structure of interval type-2 fuzzy controller with two nonlinear fuzzy sets for each input variable".FRONTIERS OF INFORMATION TECHNOLOGY & ELECTRONIC ENGINEERING 17.6(2016):587-602.