Question

Design a PD compensator for the following system to reduce the settling time by a factor of 4 while continuing to operate the system with a 20.5% overshoot. State your final compensator and gain. What can you say about a 2nd order approximation. Simulate the uncompensated and compensated step response:

Answer 1

Hello your question lacks the required diagram attached below is the missing diagram

final compensator = k ( s + 9.3731 )

gain = 695.4275

Step-by-step explanation:

attached below is the remaining part of the detailed solution of the question

C(s) =
`(k)/(s(s+8)(s+25) )` The dominant poles fn 20.5% are at Sd = -2.91 + 5.77 J

uncompensated system setting time (ts) = 4/2.91 = 1.3746