The unit response of a 1st order system plant with a proport

The unit response of a 1st order system plant with a proportional controller and zero initial conditions is sketched below. Referring to this graph, answer the following questions by checking the best response: Which response shows the largest gan, k_p? SmallCircle 1 SmallCircle 2 SmallCircle 3 SmallCircle 4 The steady state error of response #3 is most nearly: SmallCircle 0.10 SmallCircle 0.30 SmallCircle 0.50 SmallCircle 0.70 The time constant of response #3 is most nearly: SmallCircle 0.10 SmallCircle 0.15 SmallCircle 0.20 SmallCircle 0.25 SmallCircle 0.30 SmallCircle 0.35 If the plant transfer function is l/(s+3), the gain for response #3 is most nearly: SmallCircle 1 SmallCircle 3 SmallCircle 5 SmallCircle 7 SmallCircle 10 SmallCircle 15 SmallCircle 20

Solution

a. 4

b. 0.70

c. 0.10

d. 7