Finite-Frequency LPV H ∞ Control for Disturbed Wind Turbine

To enhance the robust stability of wind turbines subject to the uncertainties of wind disturbances, a finite-frequency (FF) linear parameter varying (LPV) H ∞ control strategy for maximum power point tracking (MPPT) is proposed through convex analysis and gain scheduling. Specifically, a disturbed wind turbine model is first linearized and convex decomposed, and the wind turbine polytopic LPV state-space model is modeled with wind speed and wind wheel speed as scheduling parameters. Then, the gain scheduling control (GSC) method is employed to design a robust H ∞ control strategy based on the FF domain for wind turbines under MPPT. Theoretically, by exploiting the generalized Kalman-Yakubovich-Popov lemma and linear matrix inequality (LMI) theories, the FF H ∞ performance is evaluated, based on which controller parametrization is addressed. Finally, numerical simulations demonstrate that the proposed control strategy effectively enables the system to track maximum power while ensuring robust stability in the presence of wind disturbances.