A control system controls the movement of a convertible top, decklid, and tonneau cover to minimize the overall cycle time of the system. The top is pivotally coupled to a vehicle body for movement between an extended position covering a passenger compartment and a retracted position disposed in a storage space. The decklid is pivotally coupled to the body for movement between a closed position covering the storage space and an open position to accommodate movement of the top into the storage space. The tonneau cover moves between a use position extending outwardly from an end of the decklid to conceal the convertible top in the retracted position and a stowed position disposed beneath the decklid. The control system is preprogrammed to begin movement of the tonneau cover to the use position when the decklid reaches a predetermined angle as the decklid moves between the closed and open positions.