Question: Consider the speed control system using I control with internal feedback shown in Figure 10.6.6, where I = c = 2. The desired time constant

Consider the speed control system using I control with internal feedback shown in Figure 10.6.6, where I = c = 2. The desired time constant is τ = 0.1
a. Compute the required values of the gains for the following three sets of root locations.
1. .s = -10, -8 (root separation factor is 10/8 = 1.25)
2. s = -10, -20 (root separation factor is 2)
3. s = -10, -50 (root separation factor is 5)
b. Use a computer method to plot the response of the speed ω(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.

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