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Polytopic invariant and contractive sets for closed-loop discrete fuzzy systems
dc.contributor.author | Ariño Latorre, Carlos Vicente | |
dc.contributor.author | Pérez, Emilio | |
dc.contributor.author | Sala, Antonio | |
dc.contributor.author | Bedate Boluda, Fernando | |
dc.date.accessioned | 2015-06-25T07:05:06Z | |
dc.date.available | 2015-06-25T07:05:06Z | |
dc.date.issued | 2014 | |
dc.identifier.citation | 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. | ca_CA |
dc.identifier.issn | 0016-0032 | |
dc.identifier.uri | http://hdl.handle.net/10234/125204 | |
dc.description.abstract | 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. | ca_CA |
dc.description.sponsorShip | This work has been supported by Projects DPI2011-27845-C02-01 and DPI2011-27845-C02-02, both from Spanish Government. | ca_CA |
dc.format.extent | 18 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Elsevier | ca_CA |
dc.relation.isPartOf | Journal of the Franklin Institute, 2014, vol. 351, no 7 | ca_CA |
dc.rights | Copyright © 2015 Elsevier B.V | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | Invariant sets | ca_CA |
dc.subject | Takagi Sugeno fuzzy systems | ca_CA |
dc.subject | contractive sets | ca_CA |
dc.title | Polytopic invariant and contractive sets for closed-loop discrete fuzzy systems | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.1016/j.jfranklin.2014.03.014 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | http://www.sciencedirect.com/science/article/pii/S0016003214000878?np=y# | ca_CA |
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