Consider the feedback control system in Figure 5.51 where G(s) = K s + 10 W R(s) O ) "

Chapter 0, Problem 12

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QUESTION:

Consider the feedback control system in Figure 5.51 where G(s) = K s + 10 W R(s) O ) " (5> . 1 * Controller 1 s Process G(s) Measurement Y(s) FIGURE 5.51 Feedback system with integral controller and derivative measurement. The nominal value of K 10. Using a 2% criterion, compute the settling time, Ts for a unit step disturbance, TX-s) = l/s. a. Ts = 0.02 s b. Ts = 0.19 s c. Ts = 1.03 s d. Ts = 4.83 s

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QUESTION:

Consider the feedback control system in Figure 5.51 where G(s) = K s + 10 W R(s) O ) " (5> . 1 * Controller 1 s Process G(s) Measurement Y(s) FIGURE 5.51 Feedback system with integral controller and derivative measurement. The nominal value of K 10. Using a 2% criterion, compute the settling time, Ts for a unit step disturbance, TX-s) = l/s. a. Ts = 0.02 s b. Ts = 0.19 s c. Ts = 1.03 s d. Ts = 4.83 s

ANSWER:

Problem 5.12

Consider the feedback control system in Figure 5.51 where .

Figure 5.51 Feedback system with integral controller and derivative measurement.

The nominal value of K 10. Using a 2% criterion, compute the settling time,  for a unit step disturbance, .

a.  = 0.02 s

b.  = 0.19 s

c.  = 1.03 s

d.  = 4.83 s

                                                        Step by Step Solution

Step 1 of 4

Consider the given transfer function.

Substitute 10 for K in the above equation.

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