Consider the system of Fig. P6.2-1. Suppose that an ideal time delay of 0.2 s is added to the plant, such that the plant transfer function is now given by

(a) Find the time constant τ of the system if the time delay is omitted.

(b) Find the time constant τ of the system if the time delay is included.

(c) Repeat part (b) for a time delay of 1 s.

(d) What is the effect on the speed of response of the closed-loop system of adding time delay to the plant?

Fig. P6.2-1

Transcribed Image Text:

G (s) = 0.5 -0.27 S+ 0.5