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Solved: Consider the speed control system using I control
Chapter , Problem 10.38(choose chapter or problem)
Consider the speed control system using I control with internal feedback shown in Figure 10.6.6, where I = 15 and c = 5. The desired time constant is \(\tau = 0.5\).
a. Compute the required values of the gains for the following three sets of root locations.
1. s = −2, −20 (root separation factor is 10)
2. s = −2, −10 (root separation factor is 5)
3. s = −2, −4 (root separation factor is 2)
b. Use a computer method to plot the response of the speed \(\omega(t)\) for a unit-step command for each of the cases in part (a). Discuss the effects of the root separation factor on the rise time, the overshoot, and the maximum required torque.
Questions & Answers
QUESTION:
Consider the speed control system using I control with internal feedback shown in Figure 10.6.6, where I = 15 and c = 5. The desired time constant is \(\tau = 0.5\).
a. Compute the required values of the gains for the following three sets of root locations.
1. s = −2, −20 (root separation factor is 10)
2. s = −2, −10 (root separation factor is 5)
3. s = −2, −4 (root separation factor is 2)
b. Use a computer method to plot the response of the speed \(\omega(t)\) for a unit-step command for each of the cases in part (a). Discuss the effects of the root separation factor on the rise time, the overshoot, and the maximum required torque.
ANSWER:Step 1 of 15
From the block diagram given in Figure 10.6.6
Figure 10.6.6
The function 
The error function is,
The plant control equation is,
