Consider the feedback control system block diagram in Fig.1

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Use Where K>1

Consider the feedback control system block diagram in Fig.1 Investigate closed loop stability
for Gc(s) = K(s + 2) and G(s) = 1/(s+3)(s-2), for the two cases where K = 1 and
K = 3., the system is:
O a.
O b.
O C.
O d.
R(s)
Controller
G,(s)
Process
G(s)
Fig.1
b. Stable for K = 2 and unstable for K = 4
a. Unstable for K = 2 and unstable for K = 4
d. Unstable for K = 1 and stable for K = 4
c. Stable for K = 2 and stable for K = 4
Transcribed Image Text:Consider the feedback control system block diagram in Fig.1 Investigate closed loop stability for Gc(s) = K(s + 2) and G(s) = 1/(s+3)(s-2), for the two cases where K = 1 and K = 3., the system is: O a. O b. O C. O d. R(s) Controller G,(s) Process G(s) Fig.1 b. Stable for K = 2 and unstable for K = 4 a. Unstable for K = 2 and unstable for K = 4 d. Unstable for K = 1 and stable for K = 4 c. Stable for K = 2 and stable for K = 4
Utilizing the Routh-Hurwitz criterion to determine whether the following polynomials are:
P₁(s) = s² + s³ + s² + s + K = 0
P₂(s) = s5 +2sª + 2s³ + 4s² + 11s + 10 = 0
a.
O b.
0 с.
O d.
d. p₁(s) is unstable, p₂ (s) is unstable
b. p₁(s) is unstable, p₂ (s) is stable
a. p₁(s) is stable, p₂ (s) is stable
c. p₁(s) is stable, p₂ (s) is unstable
Transcribed Image Text:Utilizing the Routh-Hurwitz criterion to determine whether the following polynomials are: P₁(s) = s² + s³ + s² + s + K = 0 P₂(s) = s5 +2sª + 2s³ + 4s² + 11s + 10 = 0 a. O b. 0 с. O d. d. p₁(s) is unstable, p₂ (s) is unstable b. p₁(s) is unstable, p₂ (s) is stable a. p₁(s) is stable, p₂ (s) is stable c. p₁(s) is stable, p₂ (s) is unstable
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