+ R(s) F(s) G(s) C(s) 12 A system with transfer function G(s) = will be controlled as shown above. (s+1)(s+2)(s+6) a) Sketch the approximate root locus for F(s) = k without going into detailed calculations. = b) Design a PID controller with the transfer function F(s) k(s+a)(s+b) = closed-loop system to have roots at $1,2 -3±j (Find the values k, a and b). S 1 which will make the

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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R(s)
F(s)
G(s)
C(s)
12
A system with transfer function G(s) =
will be controlled as shown above.
(s+1)(s+2)(s+6)
a) Sketch the approximate root locus for F (s) = k without going into detailed calculations.
k(s+a)(s+b)
=
b) Design a PID controller with the transfer function F(s) =
closed-loop system to have roots at $1,2 = -3 ±j (Find the values k, a and b).
S
which will make the
Transcribed Image Text:R(s) F(s) G(s) C(s) 12 A system with transfer function G(s) = will be controlled as shown above. (s+1)(s+2)(s+6) a) Sketch the approximate root locus for F (s) = k without going into detailed calculations. k(s+a)(s+b) = b) Design a PID controller with the transfer function F(s) = closed-loop system to have roots at $1,2 = -3 ±j (Find the values k, a and b). S which will make the
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