In a "piggy-back" head support system, a fine actuator which carries the head (lens or transducer) is controlled to move the head. A coarse actuator or headarm movably supports the fine actuator and is mounted on a frame for movement radially of the signal storage disk. The head scans tracks on the disk. A servo actuates the coarse actuator to follow the movements of the fine actuator. In a seek, the fine coarse actuator may not be able to follow the fine actuator resulting in the fine actuator hitting a safety stop. When this happens, seek errors occur. According to the invention, the relative displacement of the fine actuator with respect to the coarse actuator is limited during predetermined portions of a seek operation, i.e., the high speed accelerate and decelerate portions.