A drive system for a mobile machine is disclosed. The drive system includes a power source configured to generate mechanical power, and a transmission driven by the power source, a traction device driven by the transmission. The drive system further includes a first input device configured to generate a signal to operate the machine, a second input device configured to receive an operator selection of one of a plurality of transmission modes, and a controller in communication with the first input device and the transmission. The controller is configured to adjust operation of the transmission to control a speed rate of change of the traction device in response to the signal from the first input device and based on the operator-selected one of the plurality of transmission modes.