Design of controllers using the coefficient diagram method is a novel approach and can be implemented to all kind of processes, which can be approximated to FOPTD. In this paper, the various approaches used in time delay appr oximations are discussed. Coeffi cient diagram (CD) are drawn for FOPTD processes and second order process. From the CD, time response, stability indices and robustness of the system are analyzed. Polyno mial controller has been designed and its control action on the FOPTD process for a servo problem is discussed in detail. The result indicates that polynomial based controller is most successful in the operatio n of closed loop system.