Polytopic invariant and contractive sets for closed-loop discrete fuzzy systems
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Otros documentos de la autoría: Ariño Latorre, Carlos Vicente; Pérez, Emilio; Sala, Antonio; Bedate Boluda, Fernando
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Título
Polytopic invariant and contractive sets for closed-loop discrete fuzzy systemsFecha de publicación
2014Editor
ElsevierISSN
0016-0032Cita bibliográfica
ARIÑO, Carlos, et al. Polytopic invariant and contractive sets for closed-loop discrete fuzzy systems. Journal of the Franklin Institute, 2014, vol. 351, no 7, p. 3559-3576.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://www.sciencedirect.com/science/article/pii/S0016003214000878?np=y#Palabras clave / Materias
Resumen
In this work a procedure for obtaining polytopic λ-contractive sets for Takagi-Sugeno fuzzy systems is presented, adapting well-known algorithms from literature on discrete-time linear difference inclusions (LDI) to ... [+]
In this work a procedure for obtaining polytopic λ-contractive sets for Takagi-Sugeno fuzzy systems is presented, adapting well-known algorithms from literature on discrete-time linear difference inclusions (LDI) to multi-dimensional summations. As a complexity parameter increases, these sets tend to the maximal invariant set of the system when no information on the shape of the membership functions is available. λ-contractive sets are naturally associated to level sets of polyhedral Lyapunov functions proving a decay-rate of λ. The paper proves that the proposed algorithm obtains better results than a class of Lyapunov methods for the same complexity degree: if such a Lyapunov function exists, the proposed algorithm converges in a finite number of steps and proves a larger λ-contractive set. [-]
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Journal of the Franklin Institute, 2014, vol. 351, no 7Derechos de acceso
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