In this study, the physiological control algorithm using sliding mode control method is implemented to track the reference input signal. The controller is developed using feed-forward part, reference model, and steady-state flow estimator. The proposed control method is evaluated using a dynamic heart-pump interaction model incorporating descriptions of the cardiovascular system - rotary blood pump. The immediate response of the controller to preload as well as afterload was studied. Stability and feasibility of the control system were demonstrated through the tests. The results showed that the present controller, which allows the left ventricular to automatically adjust to the right ventricular output, reduces the risk of suction.