A sufficient stability condition for a type of proportional T-S fuzzy control system in the frequency domain

Xianlin Huang; Zejian Zhang; Kairui Cao; X. Z. Gao

doi:10.1109/ISSCAA.2010.5632629

A sufficient stability condition for a type of proportional T-S fuzzy control system in the frequency domain

Xianlin Huang^*
, Zejian Zhang
, Kairui Cao
, X. Z. Gao

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology
Aalto University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

A sufficient stability condition in the frequency domain is presented for a type of muti-rules proportional Takagi-Sugeno (T-S) fuzzy control system by using the technique of loop transformation and the circle criterion. This condition can be utilized to geometrically analyze the global asymptotical stability of such T-S fuzzy control system. Two numerical examples are given to illustrate how to use this condition to analyze the T-S fuzzy control systems.

Original language	English
Title of host publication	ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics
Pages	333-338
Number of pages	6
DOIs	https://doi.org/10.1109/ISSCAA.2010.5632629
State	Published - 2010
Event	3rd International Symposium on Systems and Control in Aeronautics and Astronautics, ISSCAA2010 - Harbin, China Duration: 8 Jun 2010 → 10 Jun 2010

Publication series

Name	ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics

Conference

Conference	3rd International Symposium on Systems and Control in Aeronautics and Astronautics, ISSCAA2010
Country/Territory	China
City	Harbin
Period	8/06/10 → 10/06/10

Keywords

Circle criterion
Frequency domain
Loop transformation
Stability analysis
T-S fuzzy controller

Access to Document

10.1109/ISSCAA.2010.5632629

Cite this

Huang, X., Zhang, Z., Cao, K., & Gao, X. Z. (2010). A sufficient stability condition for a type of proportional T-S fuzzy control system in the frequency domain. In ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics (pp. 333-338). Article 5632629 (ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics). https://doi.org/10.1109/ISSCAA.2010.5632629

Huang, Xianlin ; Zhang, Zejian ; Cao, Kairui et al. / A sufficient stability condition for a type of proportional T-S fuzzy control system in the frequency domain. ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics. 2010. pp. 333-338 (ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics).

@inproceedings{6408b9a2a6aa4c6b92053d8f7b66ec57,

title = "A sufficient stability condition for a type of proportional T-S fuzzy control system in the frequency domain",

abstract = "A sufficient stability condition in the frequency domain is presented for a type of muti-rules proportional Takagi-Sugeno (T-S) fuzzy control system by using the technique of loop transformation and the circle criterion. This condition can be utilized to geometrically analyze the global asymptotical stability of such T-S fuzzy control system. Two numerical examples are given to illustrate how to use this condition to analyze the T-S fuzzy control systems.",

keywords = "Circle criterion, Frequency domain, Loop transformation, Stability analysis, T-S fuzzy controller",

author = "Xianlin Huang and Zejian Zhang and Kairui Cao and Gao, \{X. Z.\}",

year = "2010",

doi = "10.1109/ISSCAA.2010.5632629",

language = "英语",

isbn = "9781424460441",

series = "ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics",

pages = "333--338",

booktitle = "ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics",

note = "3rd International Symposium on Systems and Control in Aeronautics and Astronautics, ISSCAA2010 ; Conference date: 08-06-2010 Through 10-06-2010",

}

Huang, X, Zhang, Z, Cao, K & Gao, XZ 2010, A sufficient stability condition for a type of proportional T-S fuzzy control system in the frequency domain. in ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics., 5632629, ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics, pp. 333-338, 3rd International Symposium on Systems and Control in Aeronautics and Astronautics, ISSCAA2010, Harbin, China, 8/06/10. https://doi.org/10.1109/ISSCAA.2010.5632629

A sufficient stability condition for a type of proportional T-S fuzzy control system in the frequency domain. / Huang, Xianlin; Zhang, Zejian; Cao, Kairui et al.
ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics. 2010. p. 333-338 5632629 (ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - A sufficient stability condition for a type of proportional T-S fuzzy control system in the frequency domain

AU - Huang, Xianlin

AU - Zhang, Zejian

AU - Cao, Kairui

AU - Gao, X. Z.

PY - 2010

Y1 - 2010

N2 - A sufficient stability condition in the frequency domain is presented for a type of muti-rules proportional Takagi-Sugeno (T-S) fuzzy control system by using the technique of loop transformation and the circle criterion. This condition can be utilized to geometrically analyze the global asymptotical stability of such T-S fuzzy control system. Two numerical examples are given to illustrate how to use this condition to analyze the T-S fuzzy control systems.

AB - A sufficient stability condition in the frequency domain is presented for a type of muti-rules proportional Takagi-Sugeno (T-S) fuzzy control system by using the technique of loop transformation and the circle criterion. This condition can be utilized to geometrically analyze the global asymptotical stability of such T-S fuzzy control system. Two numerical examples are given to illustrate how to use this condition to analyze the T-S fuzzy control systems.

KW - Circle criterion

KW - Frequency domain

KW - Loop transformation

KW - Stability analysis

KW - T-S fuzzy controller

UR - https://www.scopus.com/pages/publications/79952169021

U2 - 10.1109/ISSCAA.2010.5632629

DO - 10.1109/ISSCAA.2010.5632629

M3 - 会议稿件

AN - SCOPUS:79952169021

SN - 9781424460441

T3 - ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics

SP - 333

EP - 338

BT - ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics

T2 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics, ISSCAA2010

Y2 - 8 June 2010 through 10 June 2010

ER -

Huang X, Zhang Z, Cao K, Gao XZ. A sufficient stability condition for a type of proportional T-S fuzzy control system in the frequency domain. In ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics. 2010. p. 333-338. 5632629. (ISSCAA2010 - 3rd International Symposium on Systems and Control in Aeronautics and Astronautics). doi: 10.1109/ISSCAA.2010.5632629

A sufficient stability condition for a type of proportional T-S fuzzy control system in the frequency domain

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