A control system for a self-propelled patient-support apparatus includes a controller that utilizes a power drive speed control algorithm to control the power output to a motor of a drive mechanism for driving the patient-support apparatus across a floor. The control algorithm normalizes a force input by a user on a user input device, the force indicative of a desired drive speed. The algorithm varies the responsiveness of the output to the drive mechanism based on the current operating conditions of the drive mechanism.