The maximum power point tracking problem of variable-speed wind turbine systems is studied in this paper. The wind conversion\nsystems contain both mechanical part and electromagnetic part, which means the systems have time scale property. The wind\nturbine systems are modeled using singular perturbation methodology. A linear parameter varying (LPV) model is developed to\napproximate the nonlinear singularly perturbed model. Then stability and robust properties of the open-loop linear singularly\nperturbed system are analyzed using linear matrix inequalities (LMIs). An algorithm of designing a stabilizing state-feedback\ncontroller is proposed which can guarantee the robust property of the closed-loop system. Two numerical examples are provided\nto demonstrate the effectiveness of the control scheme proposed.
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