Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)

Estimating domains of attraction of fuzzy polynomial systems

Authors
Jose Luis Pitarch, Carlos Ariño, Antonio Sala
Corresponding Author
Jose Luis Pitarch
Available Online August 2011.
DOI
https://doi.org/10.2991/eusflat.2011.35How to use a DOI?
Keywords
Lyapunov function, basin of attraction estimation, fuzzy systems, Takagi-Sugeno models, polynomial systems, virtual membership functions, polynomial stability
Abstract
Most fuzzy control papers check LMI or SOS stability conditions in order to prove local stability results of nonlinear systems (Takagi-Sugeno fuzzy models or polynomial fuzzy models via Sector Nonlinearity approach). In case of having into account the shape of the membership functions in a particular region of interest, less conservative stability and stabilization conditions can be easily set up. In this paper local polynomial stability results are explored in order to obtain the largest basin of attraction for a particular system.
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Proceedings
Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2011
ISBN
978-90-78677-00-0
ISSN
1951-6851
DOI
https://doi.org/10.2991/eusflat.2011.35How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Jose Luis Pitarch
AU  - Carlos Ariño
AU  - Antonio Sala
PY  - 2011/08
DA  - 2011/08
TI  - Estimating domains of attraction of fuzzy polynomial systems
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 680
EP  - 685
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.35
DO  - https://doi.org/10.2991/eusflat.2011.35
ID  - Pitarch2011/08
ER  -