Elkhatib Kamal, Abdel Aitouche, Reza Ghorbani, and Mireille Bayart
Parameter uncertainties, robust control, TS model, unknown inputs,WECS, wind turbines
The maximum power extraction algorithms for variable speed wind turbines subjected to a wide range of wind variation, unknown inputs disturbance and parameter uncertainties are discussed in this paper. The “Takagi–Sugeno (TS) fuzzy model system with parametric uncertainties is adopted for modelling the nonlinear Wind Energy Conversion System (WECS) and establishing unknown input fuzzy observers. Sufficient conditions are derived for robust stabilization in the sense of Taylor series stability. The problem is formulated and solved using a Linear Matrix Inequalities (LMIs). The main contribution of this paper is summarized in two points: (i) the proposed fuzzy control and fuzzy observer are completely robust to the unknown inputs disturbance, a wide range of wind speed variations and parameter uncertainties; (ii) maximizes the power that is produced from the wind. The control scheme is tested for random variation of wind speed pattern and provides satisfactory results.
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