International Journal of Computational Intelligence Systems

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Volume 14, Issue 1, 2021, Pages 11 - 22

Stability and Stabilization Condition for T-S Fuzzy Systems with Time-Delay under Imperfect Premise Matching via an Integral Inequality

Authors
Zejian Zhang1, ORCID, Dawei Wang2, *, ORCID, Xiao-Zhi Gao3
1Mechanical Engineering College, Beihua University, Jilin, 132021, China
2Mathematic College, Beihua University, Jilin, 132013, China
3School of Computing, University of Eastern Finland, Kuopio, 70211, Finland
*Corresponding author. Email: wdw9211@126.com
Corresponding Author
Dawei Wang
Received 7 April 2020, Accepted 5 November 2020, Available Online 18 November 2020.
DOI
10.2991/ijcis.d.201112.001How to use a DOI?
Keywords
T-S fuzzy systems; Time-delay; Integral inequality; Lyapunov-Krasovskii function (LKF); Imperfect premise matching
Abstract

This paper focuses on the stability and stabilization analysis for the T-S fuzzy systems with time-delay under imperfect premise matching, in which the number of fuzzy rules and membership functions employed for the fuzzy model and fuzzy controller are different. By introducing an augmented Lyapunov-Krasovskii function containing a triple-integral term, a less conservative membership-dependent stability condition is proposed via an integral inequality. Moreover, a new design approach under imperfect premise matching is developed in the paper. Four numerical examples are given to illustrate the advantages of our approaches. A practical benchmark problem namely continuous Stirred Tank Reactor (CSTR) is discussed in details in order to further verify their effectiveness.

Copyright
© 2021 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
14 - 1
Pages
11 - 22
Publication Date
2020/11/18
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.d.201112.001How to use a DOI?
Copyright
© 2021 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Zejian Zhang
AU  - Dawei Wang
AU  - Xiao-Zhi Gao
PY  - 2020
DA  - 2020/11/18
TI  - Stability and Stabilization Condition for T-S Fuzzy Systems with Time-Delay under Imperfect Premise Matching via an Integral Inequality
JO  - International Journal of Computational Intelligence Systems
SP  - 11
EP  - 22
VL  - 14
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.201112.001
DO  - 10.2991/ijcis.d.201112.001
ID  - Zhang2020
ER  -