Consider a unity feedback system with a forward transfer function, G(s) = = K s(s+ 2)(s + 10) (a) Design a lead compensator with the requirement of percent overshoot 15% while the settling time T, = 1s. Assume compensator zero, Ze at -2. 11 (b) Find the gain, K at which this system performs at the desired percent overshoot and settling K(s+Zc) time, T5, then write the transfer function of the compensator G (c) = (s+Pc)

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Consider a unity feedback system with a forward transfer function,
G(s) =
=
K
s(s+ 2)(s + 10)
(a) Design a lead compensator with the requirement of percent overshoot 15% while the
settling time T, = 1s. Assume compensator zero, Zc at -2.
11
(b) Find the gain, K at which this system performs at the desired percent overshoot and settling
time, T5, then write the transfer function of the compensator G (c) =
K(s+Zc)
(s+Pc)
Transcribed Image Text:Consider a unity feedback system with a forward transfer function, G(s) = = K s(s+ 2)(s + 10) (a) Design a lead compensator with the requirement of percent overshoot 15% while the settling time T, = 1s. Assume compensator zero, Zc at -2. 11 (b) Find the gain, K at which this system performs at the desired percent overshoot and settling time, T5, then write the transfer function of the compensator G (c) = K(s+Zc) (s+Pc)
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