1
GATE ECE 2022
MCQ (Single Correct Answer)
+2
-0.67
Two linear time-invariant systems with transfer functions
$${G_1}(s) = {{10} \over {{s^2} + s + 1}}$$ and $${G_2}(s) = {{10} \over {{s^2} + s\sqrt {10} + 10}}$$
have unit step responses y1(t) and y2(t), respectively. Which of the following statements is/are true?
2
GATE ECE 2022
Numerical
+2
-0
The block diagram of a closed-loop control system is shown in the figure. R(s), Y(s), and D(s) are the Laplace transforms of the time-domain signals r(t), y(t), and d(t), respectively. Let the error signal be defined as e(t) = r(t) $$-$$ y(t). Assuming the reference input r(t) = 0 for all t, the steady-state error e($$\infty$$), due to a unit step disturbance d(t), is __________ (rounded off to two decimal places).
Your input ____
3
GATE ECE 2016 Set 1
Numerical
+2
-0
The open-loop transfer function of a unity-feedback control system is
$$$G\left(S\right)\;=\frac K{s(s\;+\;2)}$$$
For the peak overshoot of the closed-loop system to a unit step input to be
10%, the value of K is __________.
Your input ____
4
GATE ECE 2016 Set 2
Numerical
+2
-0
In the feedback system shown below
$$$G\left(S\right)\;=\frac1{(s^2\;+\;2s)}$$$
The step response of the closed-loop system should have minimum settling time and have no
overshoot.
The required value of gain k to achieve this is __________.
Your input ____
Questions Asked from Time Response Analysis (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE ECE 2024 (1)
GATE ECE 2023 (1)
GATE ECE 2022 (2)
GATE ECE 2016 Set 1 (1)
GATE ECE 2016 Set 2 (1)
GATE ECE 2015 Set 2 (1)
GATE ECE 2015 Set 1 (1)
GATE ECE 2014 Set 1 (1)
GATE ECE 2014 Set 3 (1)
GATE ECE 2013 (1)
GATE ECE 2009 (1)
GATE ECE 2008 (2)
GATE ECE 2007 (2)
GATE ECE 2006 (2)
GATE ECE 2005 (2)
GATE ECE 2004 (2)
GATE ECE 2003 (1)
GATE ECE 2002 (1)
GATE ECE 1999 (1)
GATE ECE 1998 (1)
GATE ECE 1994 (2)
GATE ECE 1991 (2)
GATE ECE 1990 (1)
GATE ECE 1988 (1)
GATE ECE Subjects
Network Theory
Control Systems
Electronic Devices and VLSI
Analog Circuits
Digital Circuits
Microprocessors
Signals and Systems
Representation of Continuous Time Signal Fourier Series Discrete Time Signal Fourier Series Fourier Transform Discrete Time Signal Z Transform Continuous Time Linear Invariant System Transmission of Signal Through Continuous Time LTI Systems Discrete Time Linear Time Invariant Systems Sampling Continuous Time Signal Laplace Transform Discrete Fourier Transform and Fast Fourier Transform Transmission of Signal Through Discrete Time Lti Systems Miscellaneous Fourier Transform
Communications
Electromagnetics
General Aptitude