Repetitive Control is a relatively new technique for controlling systems that contain periodic reference signals or periodic disturbances. The fundamental idea behind the method is to use the internal model of the periodic signal to guarantee asymptotic reference tracking or disturbance rejection. in this paper two recent Repetitive Control algorithms are applied to a simulation model of a damper test rig. Damper test rigs are are widely used in the automotive industry to experimentally verify the mechanical durability properties of a given damper. These rigs, however, due to their mechanical setup, a tendency to generate internal periodic disturbances,which obviously have a negative effect on the reliability of the test results. The theoretical and simulation results in this paper show how Repetitive Control can be used to eliminate these periodic disturbances, resulting in a considerable increase in accuracy.