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Asymptotically exact stabilisation for constrained discrete Takagi–Sugeno systems via set-invariance
dc.contributor.author | Ariño Latorre, Carlos Vicente | |
dc.contributor.author | Sala, Antonio | |
dc.contributor.author | Pérez, Emilio | |
dc.contributor.author | Bedate Boluda, Fernando | |
dc.contributor.author | Querol, Andrés | |
dc.date.accessioned | 2017-03-14T10:18:48Z | |
dc.date.available | 2017-03-14T10:18:48Z | |
dc.date.issued | 2016-10-12 | |
dc.identifier.citation | ARIÑO LATORRE, Carlos Vicente; SALA, Antonio; PÉREZ SOLER, Emilio; BEDATE BOLUDA, Fernando; QUEROL, Andrés. Asymptotically exact stabilisation for constrained discrete Takagi–Sugeno systems via set-invariance. Fuzzy sets ans Systems (2016), online, pp. 1-12 | ca_CA |
dc.identifier.uri | http://hdl.handle.net/10234/166699 | |
dc.description.abstract | Given a Takagi–Sugeno (TS) system, this paper proposes a novel methodology to obtain the state feedback controller guar- anteeing, asymptotically as a Polya-related complexity parameter grows, the largest (membership-shape independent) possible domain-of-attraction with contraction-rate performance λ , based on polyhedral λ -contractive sets from constrained linear systems literature. The resulting controller is valid for any realisation of the memberships, as usual in most TS literature. For a finite com- plexity parameter, an inner estimate of such largest set is obtained; the frontier of such approximation can be understood as the level set of a polyhedral control-Lyapunov function. Convergence of a proposed iterative algorithm is asymptotically necessary and sufficient for TS system stabilisation: for a high-enough value of the complexity parameter, any conceivable shape-independent Lyapunov controller design procedure will yield a proven domain of attraction smaller or equal to the algorithm’s output. | ca_CA |
dc.description.sponsorShip | This work has been supported by grants DPI2015-70433-P and DPI2016-81002-R, from Spanish Government (MINECO) and grant PROMETEOII/2013/004 from Generalitat Valenciana. | ca_CA |
dc.format.extent | 12 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Elsevier | ca_CA |
dc.relation.isPartOf | Fuzzy sets ans Systems (2016), online | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/CNE/1.0/ | * |
dc.subject | Fuzzy control | ca_CA |
dc.subject | Invariant sets | ca_CA |
dc.subject | Takagi–Sugeno models | ca_CA |
dc.subject | Contractive sets | ca_CA |
dc.subject | Polyhedral Lyapunov functions | ca_CA |
dc.title | Asymptotically exact stabilisation for constrained discrete Takagi–Sugeno systems via set-invariance | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.1016/j.fss.2016.10.004 | |
dc.rights.accessRights | info:eu-repo/semantics/restrictedAccess | ca_CA |
dc.relation.publisherVersion | http://www.sciencedirect.com/science/article/pii/S0165011416303220 | ca_CA |
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