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Control Systems
Signal Flow Graph and Block Diagram
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Time Response Analysis
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Compensators
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Basic of Control Systems
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Frequency Response Analysis
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Stability
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Root Locus Diagram
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State Space Analysis
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1
GATE ECE 2025
MCQ (Single Correct Answer)
+1
-0.33

Consider the unity-negative-feedback system shown in Figure (i) below, where gain $K \geq 0$. The root locus of this system is shown in Figure (ii) below. For what value(s) of $K$ will the system in Figure (i) have a pole at $-1+j 1$ ?

GATE ECE 2025 Control Systems - Root Locus Diagram Question 1 English 1 GATE ECE 2025 Control Systems - Root Locus Diagram Question 1 English 2
A
$K=5$
B
$K=\frac{1}{5}$
C
For no positive value of $K$
D
For all positive values of $K$
2
GATE ECE 2022
MCQ (Single Correct Answer)
+1
-0.33

The root-locus plot of a closed-loop system with unity negative feedback and transfer function KG(s) in the forward path is shown in the figure. Note that K is varied from 0 to $$\infty$$.

Select the transfer function G(s) that results in the root-locus plot of the closed-loop system as shown in the figure.

GATE ECE 2022 Control Systems - Root Locus Diagram Question 2 English

A
$$G(s) = {1 \over {{{(s + 1)}^5}}}$$
B
$$G(s) = {1 \over {{s^5} + 1}}$$
C
$$G(s) = {{s - 1} \over {{{(s + 1)}^6}}}$$
D
$$G(s) = {{s + 1} \over {{s^6} + 1}}$$
3
GATE ECE 2011
MCQ (Single Correct Answer)
+1
-0.3
The root locus plot for a system is given below. The open loop transfer function corresponding to this plot is given by GATE ECE 2011 Control Systems - Root Locus Diagram Question 19 English
A
$$G\left(s\right)H\left(s\right)=k\frac{s\left(s+1\right)}{\left(s+2\right)\left(s+3\right)}$$
B
$$G\left(s\right)H\left(s\right)=k\frac{\left(s+1\right)}{s\left(s+2\right)\left(s+3\right)^2}$$
C
$$G\left(s\right)H\left(s\right)=k\frac1{s\left(s-1\right)\left(s+2\right)\left(s+3\right)}$$
D
$$G\left(s\right)H\left(s\right)=k\frac{\left(s+1\right)}{s\left(s+2\right)\left(s+3\right)}$$
4
GATE ECE 2002
MCQ (Single Correct Answer)
+1
-0.3
Which of the following points is NOT on the root locus of a system with the open loop transfer function $$$G\left(s\right)H\left(s\right)=\frac K{s(s+1)(s+3)}$$$
A
$$s=-j\sqrt{3}$$
B
$$s=-1.5$$
C
$$s=-3$$
D
$$s=-\infty$$
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Questions Asked from Marks 1
GATE ECE 2025 (1) GATE ECE 2022 (1) GATE ECE 2011 (1) GATE ECE 2002 (1) GATE ECE 2001 (2) GATE ECE 1994 (1)
GATE ECE Subjects
Signals and Systems
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics