Assignment:
A digital PD controller is to be designed for control of a continuous process having transfer function Tp(s) = 1/s(s + 2). The design specifications for the closed-loop system include a damping ratio of 0.7 and a period of step response oscillation equal to 5 s.
(a) Find the required control parameters kp and Td for a continuous PD controller that meets the design specifications.
(b) Find the proportional and derivative gains of a corresponding digital PD controller, assuming a sampling time of T = 0.2 s, and write the discrete control algorithm in velocity form.
(c) Obtain the pulse transfer function of the closed-loop system, including the digital PD controller and the continuous process preceded by a ZOH.
(d) Find a difference equation relating output and input variables of the closed-loop system.
(e) Calculate the first 15 values of the closed-loop system unit step response.
Your answer must be, typed, double-spaced, Times New Roman font (size 12), one-inch margins on all sides, APA format and also include references.