Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology

Stabilization for the T–S fuzzy system with the constrained control

Authors
Chung-Hsun Sun, Wen-June Wang
Corresponding Author
Chung-Hsun Sun
Available Online June 2015.
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.236How to use a DOI?
Keywords
Takagi-Sugeno fuzzy system, constrained control, piecewise Lyapunov function.
Abstract

In this study, the stabilization for the Takagi-Sugeno (T-S) fuzzy discrete system with constrained controls is investigated. The derived stabilization conditions are based on the Lyapunov stability criterion with the piecewise quadratic Lyapunov function. The constrained control inputs are used to assess the possible state transition, following which the stabilization conditions are reduced. The corresponding Lyapunov inequalities of the interactions among the state transition are integrated into a single matrix to relax the stabilization conditions. Finally, the effectiveness of the proposed stabilization conditions is demonstrated by a numerical example.

Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
Series
Advances in Intelligent Systems Research
Publication Date
June 2015
ISBN
978-94-62520-77-6
ISSN
1951-6851
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.236How to use a DOI?
Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Chung-Hsun Sun
AU  - Wen-June Wang
PY  - 2015/06
DA  - 2015/06
TI  - Stabilization for the T–S fuzzy system with the constrained control
BT  - Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 1657
EP  - 1662
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.236
DO  - https://doi.org/10.2991/ifsa-eusflat-15.2015.236
ID  - Sun2015/06
ER  -