A control system for a wind turbine includes a detecting system configured to determine at least one of a rotor load, a wind shear, a wind speed, and a load imbalance due to wind shear. An adjusting system is configured to adjust a shaft moment set point correction value based on at least one of the rotor load, the wind shear, the wind speed, and the load imbalance. A compensating system is configured to compute a shaft moment correction command based on the shaft moment set point correction value output from the adjusting system. A pitch system is configured to adjust a pitch of at least one blade of the wind turbine based on the shaft moment set point correction command, or a yaw system is configured to adjust the yaw position of a rotor based on the shaft moment set point correction command.