PROBLEM-4 s): Consider a negative feedback uncompensated system with K G(s) = and H(s) = ²/ s+1 R(s) G(s) H(s) C(s) a. Sketch the root-locus diagram of uncompensated system for K>0? Show every detail step by step. b. For K=10, determine the location of closed loop poles? C. Transient response of uncompensated closed loop system with K-10 is not satisfactory. So, we want to operate at desired poles S1,2=-1.5±j2.6. Is it possible to operate at these poles by changing K only? Why? What kind of compensator must be designed to operate at these poles $1,2=-1.5+j2.6.

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PROBLEM-4 s): Consider a negative feedback uncompensated system with
K
and H(s) ==
s+1
G(s)
R(S)
=
G(s)
H(s)
C(s)
a. Sketch the root-locus diagram of uncompensated system for K>0? Show every detail step by step.
b. For K=10, determine the location of closed loop poles?
C.
Transient response of uncompensated closed loop system with K=10 is not satisfactory. So, we
want to operate at desired poles $1,2=-1.5±j2.6. Is it possible to operate at these poles by
changing K only? Why? What kind of compensator must be designed to operate at these poles
$1,2 -1.5+j2.6.
Transcribed Image Text:PROBLEM-4 s): Consider a negative feedback uncompensated system with K and H(s) == s+1 G(s) R(S) = G(s) H(s) C(s) a. Sketch the root-locus diagram of uncompensated system for K>0? Show every detail step by step. b. For K=10, determine the location of closed loop poles? C. Transient response of uncompensated closed loop system with K=10 is not satisfactory. So, we want to operate at desired poles $1,2=-1.5±j2.6. Is it possible to operate at these poles by changing K only? Why? What kind of compensator must be designed to operate at these poles $1,2 -1.5+j2.6.
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