In this thesis, the algebric process of the control system by the Chen and Shieh method is described in detail. Based on the default specifications firstly the desired transfer function of the control system apropos the mathematical model is determined. Then depending on the structure of the desired transfer function the compensators are suggested and the transfer functions of compensated control systems are performed. The condition that had to be fulfilled was that the chosen compensators had the same amount of independent fulfilling parameters as the amount of different coefficients of the desired transfer function. After the transfer functions of the compensated systems have been performed they needed to be simplified by application of the Cauer development and by neglecting his higher members so the original tranfer function of the compensated control system is reduced on the array of the desired transfer function. By equalizing the coefficients of the desired and the actual tranfer function a equation system has been formed and by solving it you get the wanted parameters of the compensator. The effects of the carried out procedure in the end are simulated and observed in the VISSIM software package where it turned out that for the given example using serial compensation would be the most succesful.