Robust adaptive reference model control of nonlinear wind-induced oscillations of floating offshore wind turbine blade in finite-time

Abstract

In this research, to overcome the challenging problem of the vibration suppression in the wind turbine blade, an active robust adaptive finite-time model reference controller is introduced. First, edgewise vibrations of the wind turbine blade, with consideration of the platform heave displacements, is modeled by Euler-Bernoulli beam theory. Then, the appropriate adaptation laws and control laws are introduced to compensate the uncertainties and guarantee the convergence to the desired reference model. The robustness and convergence of the designed adaptation and control laws are mathematically proved via finite-time Lyapunov theory. Performance of the designed robust adaptive finite-time model reference controller is evaluated by its implementation on NREL 5-MW wind turbine. Finally, the advantages of the proposed controller are demonstrated over the classic control methods by comparison the performance of the proposed controller with the performance of the linear quadratic controller.