(a) Reduce the system in Figure 1(b) so that it is equivalent to the system in Figure (b)  From (a), Sketch the root locus of the system for 0

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(a) Reduce the system in Figure 1(b) so that it is equivalent to the system in Figure

(b)  From (a), Sketch the root locus of the system for 0 <K < ∞ by first determine the poles and

zeros, the asymptotes, the break-in and break-away points. Let G1(s), G2(s), G3(s) = 1, G4(s) = s -2,  H2(s) = s, and H3(s) =s2 — 5.

(c)  Based on the root locus that you have plotted, comment on the system stability

X(s) +
K
X(s)
+
Figure 1(a): Open loop system
&
G₁ (s)
G(s)
H₂(s)
2
G4(S)
Gz(s)
Figure 1(b): Closed loop system
Y(s)
G3(S)
H3(s)
Y(s)
Transcribed Image Text:X(s) + K X(s) + Figure 1(a): Open loop system & G₁ (s) G(s) H₂(s) 2 G4(S) Gz(s) Figure 1(b): Closed loop system Y(s) G3(S) H3(s) Y(s)
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