Main focus of this paper is control of infusion pump actuator (IPA) for biomedical applications. Control of IPA done using position regulator and control which combine position and speed regulator is proposed. The main guideline is to decrease power losses, heating and current consumption in the system. One of the important areas within the field of variable speed motor drives are the operational boundaries of system. Presently, the operational boundaries of variable speed motor drives are set based on the operational boundaries of single speed motors, i.e. by limiting current and power to rated values. This results in under-utilization of the system, and places the motor at risk of excessive power losses. In this paper, the first part represents general concept of infusion pump actuators and mathematical modeling of the system, then the control of position and speed of infusion pump actuator (IPA) by using fractional order PID controller is presented. The second part shows simulations of our own design of control speed and position by fractional order PID controller using SIMULINK and MATLAB software. Finally fractional order PID regulator results are compared with classical PID regulator results