1

GATE ECE 2018

Numerical

+2

-0.67

The figure below shows the Bode magnitude and phase plots of a stable transfer function

$$G(s) = {{{n_0}} \over {{s^3} + {d_2}{s^2} + {d_1}s + {d_0}}}$$.

Consider the negative unity feedback configuration with gain k in the feedforward path. The closed loop is stable for k < k

$$G(s) = {{{n_0}} \over {{s^3} + {d_2}{s^2} + {d_1}s + {d_0}}}$$.

Consider the negative unity feedback configuration with gain k in the feedforward path. The closed loop is stable for k < k

_{0}. The maximum value of k_{0}is ______.Your input ____

2

GATE ECE 2018

Numerical

+2

-0.67

For a unity feedback control system with the forward path transfer function

$$G(s) = {K \over {s\left( {s + 2} \right)}}$$

The peak resonant magnitude M

$$G(s) = {K \over {s\left( {s + 2} \right)}}$$

The peak resonant magnitude M

_{r}of the closed-loop frequency response is 2. The corresponding value of the gain K (correct to two decimal places) is _________.Your input ____

3

GATE ECE 2017 Set 1

MCQ (Single Correct Answer)

+2

-0.6

The Nyquist plot of the transfer function
$$G(s) = {k \over {\left( {{s^2} + 2s + 2} \right)\left( {s + 2} \right)}}$$
does not encircle the point (-1+j0) for K = 10 but does encircle the point (-1+j0) for K = 100. Then the closed loop system (having unity gain feedback) is

4

GATE ECE 2017 Set 2

MCQ (Single Correct Answer)

+2

-0.6

A unity feedback control system is characterized by the open loop transfer function
$$G(s) = {{10k\left( {s + 2} \right)} \over {\left( {{s^3} + 3{s^2} + 10} \right)}}$$
The Nyquist path and the corresponding Nyquist plot of g(s) are shown in the figures below.
If 0 < K < 1, then number of poles of the closed loop transfer function that lie in the right half of the s-plane is

Questions Asked from Frequency Response Analysis (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

GATE ECE 2018 (2)
GATE ECE 2017 Set 1 (1)
GATE ECE 2017 Set 2 (1)
GATE ECE 2016 Set 2 (2)
GATE ECE 2015 Set 2 (1)
GATE ECE 2014 Set 2 (1)
GATE ECE 2014 Set 1 (1)
GATE ECE 2011 (2)
GATE ECE 2009 (2)
GATE ECE 2008 (3)
GATE ECE 2007 (1)
GATE ECE 2006 (4)
GATE ECE 2005 (3)
GATE ECE 2004 (2)
GATE ECE 2003 (2)
GATE ECE 2002 (1)
GATE ECE 2001 (1)
GATE ECE 1992 (1)
GATE ECE 1991 (1)
GATE ECE 1989 (1)
GATE ECE 1987 (2)

GATE ECE Subjects

Signals and Systems

Representation of Continuous Time Signal Fourier Series Fourier Transform Continuous Time Signal Laplace Transform Discrete Time Signal Fourier Series Fourier Transform Discrete Fourier Transform and Fast Fourier Transform Discrete Time Signal Z Transform Continuous Time Linear Invariant System Discrete Time Linear Time Invariant Systems Transmission of Signal Through Continuous Time LTI Systems Sampling Transmission of Signal Through Discrete Time Lti Systems Miscellaneous

Network Theory

Control Systems

Digital Circuits

General Aptitude

Electronic Devices and VLSI

Analog Circuits

Engineering Mathematics

Microprocessors

Communications

Electromagnetics