Stability analysis and stabilization for T-S fuzzy time-delay systems with mismatched premise membership functions

Hongwei Xia; Li Li; Jianwei Liu; Jiadong Ren; Guangcheng Ma

doi:10.1109/SMC.2016.7844963

Stability analysis and stabilization for T-S fuzzy time-delay systems with mismatched premise membership functions

Hongwei Xia
, Li Li
, Jianwei Liu
, Jiadong Ren
, Guangcheng Ma

School of Astronautics

School of Information Science and Engineering, Harbin Institute of Technology Weihai
Jiangsu Automation Research Institute
Harbin Institute of Technology

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

2 Scopus citations

Abstract

The stability analysis and control design problem of Takagi-Sugeno (T-S) fuzzy time-delay systems under mismached premise membership functions are investigated in this paper. A membership function dependent stability criterion is derived first based on Lyapunov stability analysis method. As the information of the membership functions is included in the derived criterion, it is less conservtive than those of independent ones. Then, a fuzzy controller is derived to stabilize the corresponding closed-loop system. All the conditions in this paper are described in linear matrix inequalities (LMIs) frame that can be handled numerically. Finally, some numerical examples are presented to indicate the effectiveness of our approach.

Original language	English
Title of host publication	2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Conference Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4640-4645
Number of pages	6
ISBN (Electronic)	9781509018970
DOIs	https://doi.org/10.1109/SMC.2016.7844963
State	Published - 6 Feb 2017
Event	2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Budapest, Hungary Duration: 9 Oct 2016 → 12 Oct 2016

Publication series

Name	2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Conference Proceedings

Conference

Conference	2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016
Country/Territory	Hungary
City	Budapest
Period	9/10/16 → 12/10/16

Access to Document

10.1109/SMC.2016.7844963

Cite this

Xia, H., Li, L., Liu, J., Ren, J., & Ma, G. (2017). Stability analysis and stabilization for T-S fuzzy time-delay systems with mismatched premise membership functions. In 2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Conference Proceedings (pp. 4640-4645). Article 7844963 (2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Conference Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SMC.2016.7844963

Xia, Hongwei ; Li, Li ; Liu, Jianwei et al. / Stability analysis and stabilization for T-S fuzzy time-delay systems with mismatched premise membership functions. 2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Conference Proceedings. Institute of Electrical and Electronics Engineers Inc., 2017. pp. 4640-4645 (2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Conference Proceedings).

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title = "Stability analysis and stabilization for T-S fuzzy time-delay systems with mismatched premise membership functions",

abstract = "The stability analysis and control design problem of Takagi-Sugeno (T-S) fuzzy time-delay systems under mismached premise membership functions are investigated in this paper. A membership function dependent stability criterion is derived first based on Lyapunov stability analysis method. As the information of the membership functions is included in the derived criterion, it is less conservtive than those of independent ones. Then, a fuzzy controller is derived to stabilize the corresponding closed-loop system. All the conditions in this paper are described in linear matrix inequalities (LMIs) frame that can be handled numerically. Finally, some numerical examples are presented to indicate the effectiveness of our approach.",

author = "Hongwei Xia and Li Li and Jianwei Liu and Jiadong Ren and Guangcheng Ma",

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Xia, H , Li, L, Liu, J, Ren, J & Ma, G 2017, Stability analysis and stabilization for T-S fuzzy time-delay systems with mismatched premise membership functions. in 2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Conference Proceedings., 7844963, 2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Conference Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 4640-4645, 2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016, Budapest, Hungary, 9/10/16. https://doi.org/10.1109/SMC.2016.7844963

Stability analysis and stabilization for T-S fuzzy time-delay systems with mismatched premise membership functions. / Xia, Hongwei ; Li, Li; Liu, Jianwei et al.
2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Conference Proceedings. Institute of Electrical and Electronics Engineers Inc., 2017. p. 4640-4645 7844963 (2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Conference Proceedings).

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

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T1 - Stability analysis and stabilization for T-S fuzzy time-delay systems with mismatched premise membership functions

AU - Xia, Hongwei

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AU - Ma, Guangcheng

PY - 2017/2/6

Y1 - 2017/2/6

N2 - The stability analysis and control design problem of Takagi-Sugeno (T-S) fuzzy time-delay systems under mismached premise membership functions are investigated in this paper. A membership function dependent stability criterion is derived first based on Lyapunov stability analysis method. As the information of the membership functions is included in the derived criterion, it is less conservtive than those of independent ones. Then, a fuzzy controller is derived to stabilize the corresponding closed-loop system. All the conditions in this paper are described in linear matrix inequalities (LMIs) frame that can be handled numerically. Finally, some numerical examples are presented to indicate the effectiveness of our approach.

AB - The stability analysis and control design problem of Takagi-Sugeno (T-S) fuzzy time-delay systems under mismached premise membership functions are investigated in this paper. A membership function dependent stability criterion is derived first based on Lyapunov stability analysis method. As the information of the membership functions is included in the derived criterion, it is less conservtive than those of independent ones. Then, a fuzzy controller is derived to stabilize the corresponding closed-loop system. All the conditions in this paper are described in linear matrix inequalities (LMIs) frame that can be handled numerically. Finally, some numerical examples are presented to indicate the effectiveness of our approach.

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DO - 10.1109/SMC.2016.7844963

M3 - 会议稿件

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T3 - 2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Conference Proceedings

SP - 4640

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BT - 2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Conference Proceedings

PB - Institute of Electrical and Electronics Engineers Inc.

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Y2 - 9 October 2016 through 12 October 2016

ER -

Xia H , Li L, Liu J, Ren J, Ma G. Stability analysis and stabilization for T-S fuzzy time-delay systems with mismatched premise membership functions. In 2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Conference Proceedings. Institute of Electrical and Electronics Engineers Inc. 2017. p. 4640-4645. 7844963. (2016 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2016 - Conference Proceedings). doi: 10.1109/SMC.2016.7844963

Stability analysis and stabilization for T-S fuzzy time-delay systems with mismatched premise membership functions

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