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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:

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batolisis

Answer:

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

final compensator = k ( s + 9.3731 )

gain = 695.4275

Explanation:

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

C(s) = [tex]\frac{k}{s(s+8)(s+25) }[/tex]   The dominant poles fn 20.5% are at Sd = -2.91 + 5.77 J

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

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