Shanmugam, Lakshmanan; Joo, Young Hoon Stabilization of permanent magnet synchronous generator-based wind turbine system via fuzzy-based sampled-data control approach. (English) Zbl 1489.93090 Inf. Sci. 559, 270-285 (2021). Summary: This study concerns the stabilization analysis for nonlinear permanent magnet synchronous generator (PMSG)-based wind turbine system under fuzzy-based memory sampled-data (FBMSD) control scheme. In this regard, the Takagi-Sugeno (T-S) fuzzy theory is utilized in the conversion of the proposed nonlinear model into linear-sub models and the corresponding FBMSD controller is designed. The paper introduces a suitable Lyapunov-Krasovskii functional that contains the information about the length of the sampling interval and a constant transmission delay. In order to stabilize the proposed system, sufficient conditions are derived in the form of linear matrix inequalities. As a test benchmark, the derived T-S fuzzy PMSG model is evaluated with a particular data set values and then validated with derived conditions. Besides that, the dynamical nature of system variables with respect to a blade pitch angle of the wind turbine system also discusses along with \(d - q\) axes inductance via numerical simulations. Finally, a comparison of derived conditions with the existing works is discussed to prove the less conservatism of the proposed method. Cited in 10 Documents MSC: 93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory 93C42 Fuzzy control/observation systems 93C57 Sampled-data control/observation systems 93C20 Control/observation systems governed by partial differential equations 93C10 Nonlinear systems in control theory Keywords:Lyapunov stability; nonlinear differential equations; PMSG; sampled-data control system; fuzzy model PDFBibTeX XMLCite \textit{L. Shanmugam} and \textit{Y. H. Joo}, Inf. 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