R(S) Problem-2. Consider the control system given where, C(s) Gc(s) Gp(s) K G (5),(s) = G(s) = s(s+5)(s +20) The uncompe

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R S Problem 2 Consider The Control System Given Where C S Gc S Gp S K G 5 S G S S S 5 S 20 The Uncompe 1 (77.47 KiB) Viewed 12 times

R(S) Problem-2. Consider the control system given where, C(s) Gc(s) Gp(s) K G (5),(s) = G(s) = s(s+5)(s +20) The uncompensated system has over 50% overshoot and a peak time of 0.5 second (plot it in MatLAB to see it) when K, = 10. Do the following: (a) Use frequency response methods to design a lead compensator to reduce the percent overshoot to 10%, while keeping the peak time and steady-state error about the same or less. Make any required second- order approximations. (b) Use MatLAB or any other computer program to plot step response of the lead-compensated system and test your second-order approximation (you will see that the response is very good in terms of the speed requirement and acceptable for the percent overshoot requirement).