Closed-form estimates of the domain of attraction for nonlinear systems via fuzzy-polynomial models.
IEEE Trans Cybern
; 44(4): 526-38, 2014 Apr.
Article
em En
| MEDLINE
| ID: mdl-23757565
ABSTRACT
In this paper, the domain of attraction of the origin of a nonlinear system is estimated in closed form via level sets with polynomial boundaries, iteratively computed. In particular, the domain of attraction is expanded from a previous estimate, such as a classical Lyapunov level set. With the use of fuzzy-polynomial models, the domain of attraction analysis can be carried out via sum of squares optimization and an iterative algorithm. The result is a function that bounds the domain of attraction, free from the usual restriction of being positive and decrescent in all the interior of its level sets.
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01-internacional
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MEDLINE
Idioma:
En
Revista:
IEEE Trans Cybern
Ano de publicação:
2014
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Article