In this paper, linear and nonlinear robust control strategies are proposed to suppress wing rock motion. The approaches are based on the uncertainty and disturbance estimator (UDE), which calculates and robustly cancels system uncertainties and input disturbances with appropriate filtering. In the case of a nonlinear controller, the information regarding the known part of the nonlinear plant dynamics is used by the controller, while in the case of a linear controller the terms containing the nonlinear functions are treated as additional uncertainties to the system. The algorithms provide excellent performance in suppressing the oscillations and disturbance rejection. Simulations are given to show the effectiveness of the strategies via an application to an experimentally derived delta wing rock model.