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dc.contributor.authorAriño Latorre, Carlos Vicente
dc.contributor.authorSala, Antonio
dc.contributor.authorPérez Soler, Emilio
dc.contributor.authorBedate Boluda, Fernando
dc.contributor.authorQuerol, Andrés
dc.identifier.citationARIÑO 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. 1-12ca_CA
dc.description.abstractGiven 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.sponsorShipThis 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.extent12 p.ca_CA
dc.relation.isPartOfFuzzy sets ans Systems (2016), onlineca_CA
dc.subjectFuzzy controlca_CA
dc.subjectInvariant setsca_CA
dc.subjectTakagi–Sugeno modelsca_CA
dc.subjectContractive setsca_CA
dc.subjectPolyhedral Lyapunov functionsca_CA
dc.titleAsymptotically exact stabilisation for constrained discrete Takagi–Sugeno systems via set-invarianceca_CA

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