You are given the motor whose transfer function is shown

Chapter 9, Problem 42

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QUESTION:

You are given the motor whose transfer function is shown in Figure P9.8(a).

a. If this motor were the forward transfer function of a unity feedback system, calculate the percent overshoot and settling time that could be expected.

b. You want to improve the closed-loop response. Since the motor constants cannot be changed and you cannot use a different motor, an amplifier and tachometer are inserted into the loop as shown in Figure P9.8(b). Find the values of \(K_1\) and \(K_f\) to yield a percent overshoot of 15% and a settling time of 0.5 second.

c. Evaluate the steady-state error specifications for both the uncompensated and the compensated systems.

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QUESTION:

You are given the motor whose transfer function is shown in Figure P9.8(a).

a. If this motor were the forward transfer function of a unity feedback system, calculate the percent overshoot and settling time that could be expected.

b. You want to improve the closed-loop response. Since the motor constants cannot be changed and you cannot use a different motor, an amplifier and tachometer are inserted into the loop as shown in Figure P9.8(b). Find the values of \(K_1\) and \(K_f\) to yield a percent overshoot of 15% and a settling time of 0.5 second.

c. Evaluate the steady-state error specifications for both the uncompensated and the compensated systems.

ANSWER:

Step 1 of 4

Given data:

The figure is given as,

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