A process has the transfer function, G(s) 2e0 2t (s 1) Compare the PI controller settings for the following design approaches (a) Direct Synthesis method (c 0 2) (b) Direct Synthesis method (c 1 0) (c) ITAE performance index (disturbance) (d) ITAE performance index (set point) (e) Which controller ...

A process has the transfer function, G(s) 2e0.2t/ (s + 1). Compare the PI controller settings for

Question:

A process has the transfer function, G(s) 2e–0.2t/ (s + 1). Compare the PI controller settings for the following design approaches:
(a) Direct Synthesis method (τc = 0.2)
(b) Direct Synthesis method (τc = 1.0)
(c) ITAE performance index (disturbance)
(d) ITAE performance index (set point)
(e) Which controller has the most conservative settings? Which has the least conservative?
(f) For the two controllers of part (e), simulate the closed-loop responses to a unit step disturbance1 assuming that Gd(s) = G(s).