title: |
Estimating domains of attraction of fuzzy polynomial systems |
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publication: |
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part of series: |
Advances in Intelligent Systems Research | |
| pages: | 680 - 685 | |
DOI: |
To be assigned soon (how to use a DOI) | |
author(s): |
Pitarch |
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corresponding author: |
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publication date: |
July 2011 |
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keywords: |
Lyapunov function, basin of attraction
estimation, fuzzy systems, Takagi-Sugeno models,
polynomial systems, virtual membership functions,
polynomial stability |
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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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copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |