The speed control of a high-speed train is represented by the system shown in Figure

Chapter 0, Problem AP5.4

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The speed control of a high-speed train is represented by the system shown in Figure AP5.4 [17]. Determine the equation for steady-state error for K for a unit step input r(t). Consider the three values for K equal to 1,10, and 100. (a) Determine the steady-state error. (b) Determine and plot the response y{t) for (i) a unit step input R(s) - \(s and (ii) a unit step disturbance input Tlt(s) = 1/s. (c) Create a table showing overshoot, settling time (with a 2% criterion), ess for r(t), and ly/tjmax for the three values of K. Select the best compromise value.

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