Abstract: In order to solve the deviation in the process of linearized modeling, this method based on the double-layer convex polyhedron structure was proposed to design the linear varying parameter controller. The traditional model with scheduling variables was converted into the model with double-layer convex polyhedron structure. Combined with the gain scheduling technique and the linear matrix inequality method, the vertex controllers were constructed at the outer sphere convex polyhedron. The inner sphere convex polyhedron controllers were figured out according to the vertices controllers. The method was aimed to weakened the linear deviation, enhance the control effect of controller. The simulation results show that the wind turbine operates with more stable output power and more lower mechanical stress compared to the performance of traditional controller.

Key words: wind turbine, LPV, double-layer convex polyhedron, gain scheduling