This study presents a successful application of a model predictive control (MPC) design approach based on linear
parameter-varying (LPV) models subject to input/output constraints to control a utility-scale wind turbine. The control objectives
are to allow the wind turbine to extract from the wind the rated power taking into account the wind speed variation, to reduce
mechanical loads and power fluctuations and to guarantee the stability of the system for the whole range of operation. A
modified min–max MPC-LPV scheme is proposed to compute online the optimal control input at each sampling instant by
solving an optimisation problem subject to linear matrix inequality constraints. To reduce the conservatism of the original MPC
scheme due to the overbounding associated with affine parameter-dependence, the full block S-procedure with a linear
fractional transformation formulation is used. The performance and the efficiency of the proposed MPC-LPV algorithm is
validated via simulation and compared with the original scheme and other conventional controllers.