Lead Compensator (Problem no 4)

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Design a lead Compensator using a unity feedback system with open loop transfer function
K
G (S) = __________________
S (S+4 ) (S+7)
to meet the following specifications
(i) % Peak Overshoot= 12.63%
(ii) Natural frequency of oscillation Wn = 8 rad/sec
(iii) Velocity error constant kV is greater than or equal to 2.5

# dominant pole
# poles and Zeros of lead Compensator
# transfer function of lead Compensator
# error requirement
# Finding open loop gain K
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Use frequency response methods to design a lead compensator for a unity feedback system where G(s) =K(s+7)/s(5+5)(s+15) and the following Specifications are to be met: percent overshoot=15%, Settling Time=0.1 sec, and Kv=1000.

mtway
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how the whole square has taken on TF of lead compensator in step 5

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