DocumentCode
2311547
Title
Local fuzzy modeling: Maximising the basin of attraction
Author
Pitarch, J.L. ; Ariño, C.V. ; Bedate, F. ; Sala, A.
Author_Institution
Univ. Politec. de Valencia, Valencia, Spain
fYear
2010
fDate
18-23 July 2010
Firstpage
1
Lastpage
7
Abstract
Most fuzzy control papers check LMI stability conditions in order to prove global stability of Takagi-Sugeno fuzzy systems which anyway amounts to local stability results on the originating (sector-nonlinearity modeled) nonlinear system. 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 quadratic stability results are explored in order to obtain the largest basin of attraction for a particular system.
Keywords
fuzzy control; fuzzy systems; linear matrix inequalities; nonlinear control systems; stability; LMI; Takagi- Sugeno fuzzy systems; fuzzy control; global stability; local fuzzy modeling; local quadratic stability; membership functions; nonlinear system; Analytical models; Ellipsoids; Fuzzy systems; Lyapunov method; Nonlinear systems; Stability criteria;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems (FUZZ), 2010 IEEE International Conference on
Conference_Location
Barcelona
ISSN
1098-7584
Print_ISBN
978-1-4244-6919-2
Type
conf
DOI
10.1109/FUZZY.2010.5584617
Filename
5584617
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