%0 Conference Paper
%B Proc. 20th Mediterranean Conference on Control & Automation (MED)
%D 2012
%T Discrete Fuzzy Polynomial Observers
%A J.L. Pitarch
%A A. Sala
%B Proc. 20th Mediterranean Conference on Control & Automation (MED)
%I IEEE Press
%C Barcelona, Spain
%P 819–823
%@ 978-1-4673-2531-8
%G eng
%0 Journal Article
%J Revista Iberoamericana de Automática e Informática Industrial RIAI
%D 2012
%T Estimación del dominio de atracción de sistemas no lineales mediante modelos borrosos polinomiales
%A J.L. Pitarch
%A A. Sala
%E Ariño,C.
%E F. Bedate
%K conservatism
%B Revista Iberoamericana de Automática e Informática Industrial RIAI
%V 9
%P 152 - 161
%G eng
%U http://www.sciencedirect.com/science/article/pii/S1697791212000088
%R 10.1016/j.riai.2012.02.007
%0 Journal Article
%J Rev. Iberoamericana de Automatica e Informatica Industrial
%D 2012
%T Estimación Del Dominio De Atracción De Sistemas No Lineales Mediante Modelos Borrosos Polinomiales
%A J.L. Pitarch
%A A. Sala
%A Arino, C.
%A Bedate, F.
%X Many approaches in fuzzy systems literature express LMI conditions for a Takagi-Sugeno model and finish the problem once those conditions are feasible. However, studying the obtained region of attraction and its relationship with the original nonlinear problem is forgotten. This paper proposes to obtain a predefined-shape zone, as large as possible, belonging to the local domain of attraction of the origin of a nonlinear system. In order to do this, local fuzzy polynomial models are used whose analysis can be carried out by convex optimization (sum of squares). Moreover membership information is used in order to do iterations with the fuzzy modeling region, maximizing the size of the proven domain of attraction, which reduces conservatism over existing results.
%B Rev. Iberoamericana de Automatica e Informatica Industrial
%I Editorial Univ. Polit. Valencia
%V 9
%P 152–161
%G eng
%0 Conference Paper
%B Proc. of 1st Conference on Embedded Systems, Computational Intelligence and Telematics in Control (CESCIT)
%D 2012
%T Spherical Domain Of Attraction Estimation For Nonlinear Systems
%A J.L. Pitarch
%A A. Sala
%A Arino, C.V.
%X This work proposes an algorithm to obtain a predefined-shape zone as large as possible, belonging to the local domain of attraction of a nonlinear system. In order to do it, fuzzy polynomial models will be used which analysis can be done by convex optimization (sum of squares). Most fuzzy control papers check LMI or SOS stability conditions for Takagi-Sugeno fuzzy models and, if feasibility is reached, forget to study the obtained region and its relationship with the original nonlinear problem. 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 for doing iterations with the fuzzy modelling region in order to maximize the proved basin of attraction.
%B Proc. of 1st Conference on Embedded Systems, Computational Intelligence and Telematics in Control (CESCIT)
%I IFAC/Elsevier
%C Wurzburg, Germany
%P 108–114
%@ 978-3-902661-97-5
%G eng