Stability and stabilization of nonlinear systems and Takagi-Sugeno's fuzzy models

DOI10.1155/S1024123X01001624zbMath0997.93056OpenAlexW2153468686MaRDI QIDQ5950082

Yann Blanco, Wilfrid Perruquetti, Pierre Borne

Publication date: 4 November 2002

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/49512

zbMATH Keywords

stabilitystabilizationlinear matrix inequalityinverted pendulumcontinuous controllersfuzzy regulatorparallel distributed compensationPDCTakagi-Sugeno model

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Fuzzy control/observation systems (93C42) Linear inequalities of matrices (15A39) Nonlinear systems in control theory (93C10)

Related Items (8)

LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form ⋮ A non-quadratic Lyapunov functional for \(H_\infty\) control of nonlinear systems via Takagi-Sugeno models ⋮ Stability analysis of polynomial fuzzy models via polynomial fuzzy Lyapunov functions ⋮ A fuzzy Lyapunov function approach to estimating the domain of attraction for continuous-time Takagi-Sugeno fuzzy systems ⋮ Progressively better estimates of the domain of attraction for nonlinear systems via piecewise Takagi-Sugeno models: stability and stabilization issues ⋮ Discussion on: ``Exponential stability based design of constrained fuzzy predictive control ⋮ Non-quadratic local stabilization for continuous-time Takagi-Sugeno models ⋮ A generalised integral polynomial Lyapunov function for nonlinear systems

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