In this paper it is proposed to synthesize the control algorithm for the models of objects with inertia and second order astatism, which are described the dynamics of various technical objects and technological processes. These models of control objects have the double pole in the origin of axes and one negative pole. In order to tune the PID control algorithm to the given model of object, it was designed the control algorithm based on the maximum stability degree method with iterations. To verify the obtained results of tuning the PID controller, it was done the synthesis of the control algorithm by the polynomial equations method. An example of a system with the respectively model of control object and the controller synthesized according to these methods was computer simulated in the MATLAB software package and it was done the analysis of the system performance. There are highlighted the advantages of the maximum stability degree method with iterations by the simplification of the tuning procedure of the PID controller to this model of object.