The paper presents a procedure to design a Proportional-Integrating-Derivative (PID) controller for a time delayed first-order process. Polynomial approach in which both the process and controller are considered to be polynomials is employed. The gains of PID controller are derived mathematically by comparing the characteristic equation to a target polynomial. The remarkable feature of the proposed work is, the PID controller is derived in its practical form, i.e., the derivative term is associated with the filter. The filter coefficient is derived along with the PID controller gains. Set point filter is incorporated to mitigate overshoot in servo response. The proposed method is tested for both simulation and real-time applications. A real-time test is performed on a DC servo motor. © 2021, Springer Nature Singapore Pte Ltd.