GATE & PSUs - Electrical & Electronics Engineering (EE & ECE)

Frequency Response (Bode Plot, Nyquist Stability Criterion, Phase/Gain Margin) question bank (Control Systems)

Practice 6 free GATE & PSUs - Electrical & Electronics Engineering (EE & ECE) Control Systems - Frequency Response (Bode Plot, Nyquist Stability Criterion, Phase/Gain Margin) questions with answers and step-by-step solutions.

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Q1.
[Frequency Response (Bode Plot, Nyquist Stability Criterion, Phase/Gain Margin) Concept 5] The open-loop transfer function of a unity negative feedback control system is $G(s) = \frac{K}{s(s+2)(s+4)}$. What is the range of gain $K > 0$ for which the closed-loop system is strictly stable?

(A)
$0 < K < 48$
(B)
$0 < K < 24$
(C)
$0 < K < 96$
(D)
$K > 48$
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Q2.
[Frequency Response (Bode Plot, Nyquist Stability Criterion, Phase/Gain Margin) Concept 11] The open-loop transfer function of a unity negative feedback control system is $G(s) = \frac{K}{s(s+2)(s+4)}$. What is the range of gain $K > 0$ for which the closed-loop system is strictly stable?

(A)
$0 < K < 48$
(B)
$0 < K < 24$
(C)
$0 < K < 96$
(D)
$K > 48$
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