This paper presents the design of a gain-scheduled proportional integral (PI) feedback controller for ventricular assist devices to maintain physiologically motivated perfusion. The selected control objective is to maintain an average differential pressure deltaP between the left ventricle and the aorta. Computer simulations for different pathological conditions, ranging from the normal heart to left heart asystole, and a wide range of physiological scenarios, ranging from rest to strenuous exercise, were used to validate the performance of the controller and the effectiveness of the selected control objective in ensuring physiologically adequate perfusion under different clinical and cardiac demand conditions.