Stability analysis of T-S fuzzy control systems with interval plants

Kai Rui Cao; Jia Qi Liu; Xian Lin Huang; Xiao Zhi Gao; Xiao Jun Ban

Stability analysis of T-S fuzzy control systems with interval plants

Kai Rui Cao^*
, Jia Qi Liu
, Xian Lin Huang
, Xiao Zhi Gao
, Xiao Jun Ban

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology
Aalto University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The stability of a type of Takagi-Sugeno (T-S) fuzzy control systems is considered. The plant of T-S fuzzy system has parameter uncertainties. By using the off-axis circle criterion and Kharitonov Theorem, a sufficient condition is derived to analyze the global asymptotic stability of T-S fuzzy control system. The proposed method has a graphical explanation which facilitates stability analysis. A numerical example is also given to demonstrate how to use our approach in analyzing certain T-S fuzzy control systems.

Original language	English
Pages (from-to)	7-11
Number of pages	5
Journal	Journal of Harbin Institute of Technology (New Series)
Volume	19
Issue number	1
State	Published - Feb 2012

Keywords

Interval plant
Nyquist envelope
Off-axis circle criterion
Stability analysis
T-S fuzzy systems

Cite this

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title = "Stability analysis of T-S fuzzy control systems with interval plants",

abstract = "The stability of a type of Takagi-Sugeno (T-S) fuzzy control systems is considered. The plant of T-S fuzzy system has parameter uncertainties. By using the off-axis circle criterion and Kharitonov Theorem, a sufficient condition is derived to analyze the global asymptotic stability of T-S fuzzy control system. The proposed method has a graphical explanation which facilitates stability analysis. A numerical example is also given to demonstrate how to use our approach in analyzing certain T-S fuzzy control systems.",

keywords = "Interval plant, Nyquist envelope, Off-axis circle criterion, Stability analysis, T-S fuzzy systems",

author = "Cao, \{Kai Rui\} and Liu, \{Jia Qi\} and Huang, \{Xian Lin\} and Gao, \{Xiao Zhi\} and Ban, \{Xiao Jun\}",

year = "2012",

month = feb,

language = "英语",

volume = "19",

pages = "7--11",

journal = "Journal of Harbin Institute of Technology (New Series)",

issn = "1005-9113",

publisher = "Harbin Institute of Technology",

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T1 - Stability analysis of T-S fuzzy control systems with interval plants

AU - Cao, Kai Rui

AU - Liu, Jia Qi

AU - Huang, Xian Lin

AU - Gao, Xiao Zhi

AU - Ban, Xiao Jun

PY - 2012/2

Y1 - 2012/2

N2 - The stability of a type of Takagi-Sugeno (T-S) fuzzy control systems is considered. The plant of T-S fuzzy system has parameter uncertainties. By using the off-axis circle criterion and Kharitonov Theorem, a sufficient condition is derived to analyze the global asymptotic stability of T-S fuzzy control system. The proposed method has a graphical explanation which facilitates stability analysis. A numerical example is also given to demonstrate how to use our approach in analyzing certain T-S fuzzy control systems.

AB - The stability of a type of Takagi-Sugeno (T-S) fuzzy control systems is considered. The plant of T-S fuzzy system has parameter uncertainties. By using the off-axis circle criterion and Kharitonov Theorem, a sufficient condition is derived to analyze the global asymptotic stability of T-S fuzzy control system. The proposed method has a graphical explanation which facilitates stability analysis. A numerical example is also given to demonstrate how to use our approach in analyzing certain T-S fuzzy control systems.

KW - Interval plant

KW - Nyquist envelope

KW - Off-axis circle criterion

KW - Stability analysis

KW - T-S fuzzy systems

UR - https://www.scopus.com/pages/publications/84859514404

M3 - 文章

AN - SCOPUS:84859514404

SN - 1005-9113

VL - 19

SP - 7

EP - 11

JO - Journal of Harbin Institute of Technology (New Series)

JF - Journal of Harbin Institute of Technology (New Series)

IS - 1

ER -

Stability analysis of T-S fuzzy control systems with interval plants

Abstract

Keywords

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