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) = 1/(s) and (ii) a unit step disturbance input Td(s) = 1/s.
(c) Create a table showing overshoot, settling time (with a 2% criterion), ess for r(t), and |y/td|max for the three values of K. Select the best compromise value.
Figure AP5.4
Speed control.

Disturbance Tts) Train dynamics Speed