Estimating domains of attraction of fuzzy polynomial systems

DOI

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.

Copyright

© 2011, 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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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 (EUSFLAT-11)
PB  - Atlantis Press
SP  - 680
EP  - 685
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.35
DO  - 10.2991/eusflat.2011.35
ID  - Pitarch2011/08
ER  -