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Recent questions and answers in Control Systems
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0 votes
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1 answer
411
411 views
GATE ECE 2005 | Question: 82b
Statement for Linked Answer Questions $82a$ and $82b:$The dopen loop transfer function of a unity feedback system is given by\[\mathrm{G}(s)=\frac{3 e^{-2}}{s(s+2)}\]Base...
Abhiral_Gupta
411
views
answered
Aug 11
Control Systems
gate2005-ec
control-systems
frequency-response
transfer-function
+
–
1
1 vote
1
1 answer
650
650 views
GATE ECE 2023 | Question: 47
The asymptotic magnitude Bode plot of a minimum phase system is shown in thefigure. The transfer function of the system is $(s)=\frac{k(s+z)^{a}}{s^{b}(s+p)^{c}}$, where ...
Abhiral_Gupta
650
views
answered
Aug 11
Control Systems
gateece-2023
control-systems
frequency-response
transfer-function
numerical-answers
+
–
0
0 votes
1
1 answer
398
398 views
GATE ECE 1998 | Question 10
Consider the system shown in the figure is. Determine the value of a such that the damping ratio is $0.5$. Also obtain the values of the rise time $t_{r}$ and maximum ove...
Manikanta_Cheekati
398
views
answered
Jul 3
Control Systems
gate1998-ec
control-systems
numerical-answers
+
–
1
1 vote
1
1 answer
528
528 views
GATE ECE 2007 | Question: 16
If the Laplace transform of a signal $y(t)$ is $Y(s)=\dfrac{1}{s(s-1)},$ then its final value is$-1$$0$$1$Unbounded
Manikanta_Cheekati
528
views
answered
Jun 28
Control Systems
gate2007-ec
laplace-transform
signals-and-systems
continuous-time-signals
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–
0
0 votes
1
1 answer
508
508 views
GATE ECE 1991 | Question 1.9
The open loop transfer function of a feedback control system is:$$ G(s) H(s)=\frac{1}{(s+1)^3} $$The gain margin of the system is:$2$$4$$8$$16$
Manikanta_Cheekati
508
views
answered
Jun 28
Control Systems
gate1991-ec
control-systems
transfer-function
numerical-answers
+
–
1
1 vote
1
1 answer
812
812 views
GATE ECE 2008 | Question: 12
Step responses of a set of three second-order underdamped systems all have the same percentage overshoot. Which of the following diagrams represents the poles of the thre...
Manikanta_Cheekati
812
views
answered
Jun 26
Control Systems
gate2008-ec
control-systems
poles-and-zeros
steady-state
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–
1
1 vote
1
1 answer
836
836 views
GATE ECE 2008 | Question: 39
A certain system has transfer function $G(s)=\dfrac{s+8}{s^{2}+\alpha s-4}$, where $\alpha$ is a parameter. Consider the standard negative unity feedback configuration as...
Manikanta_Cheekati
836
views
answered
Jun 26
Control Systems
gate2008-ec
control-systems
transfer-function
+
–
1
1 vote
0
0 answers
226
226 views
GATE ECE 2026 | Question: 1
Consider the differential equation $\dot{\vec{w}}=A \vec{w}$, with $\vec{w}(t=0)=\left[\begin{array}{l}1 \\ 1\end{array}\right]$. If $\vec{w}(t)=e^{t} \vec{u}_{x}+e^{-2 t...
gatecse
226
views
asked
Feb 23
Control Systems
gateec-2026
differential-equations
linear-algebra
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–
1
1 vote
0
0 answers
246
246 views
GATE ECE 2026 | Question: 9
A control system is shown in the Figure.Which option represents the correct transfer function of the system?$\dfrac{1}{(s+4)^{2}}$$\dfrac{1}{(s+4)}$$\dfrac{2}{(s+4)}$$\df...
gatecse
246
views
asked
Feb 23
Control Systems
gateec-2026
control-systems
transfer-function
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–
0
0 votes
0
0 answers
177
177 views
GATE ECE 2026 | Question: 30
For the control system shown in the Figure, the transfer function of a plant, $G(s)=\frac{1}{(s+1)(s+2)}$ is connected in cascade with a compensator $C(s)=K(s+\alpha)$, w...
gatecse
177
views
asked
Feb 23
Control Systems
gateec-2026
control-systems
transfer-function
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–
0
0 votes
0
0 answers
127
127 views
GATE ECE 2026 | Question: 31
The state and output equations for a control system are:\[\begin{array}{c}\dot{x}=\left[\begin{array}{cc}-4 & -1.5 \\4 & 0\end{array}\right] x+\left[\begin{array}{l}2 \\0...
gatecse
127
views
asked
Feb 23
Control Systems
gateec-2026
control-systems
transfer-function
state-equations
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–
0
0 votes
0
0 answers
126
126 views
GATE ECE 2026 | Question: 49
Consider the unity negative feedback control system shown in the Figure.The value of gain $K(>0)$ at which the given system will remain marginally stable is $\_\_\_\_$.(A...
gatecse
126
views
asked
Feb 23
Control Systems
gateec-2026
numerical-answers
control-systems
+
–
1
1 vote
1
1 answer
577
577 views
GATE ECE 2025 | Question: 43
Consider a system where $x_{1}(t), x_{2}(t)$, and $x_{3}(t)$ are three internal state signals and $u(t)$ is the input signal. The differential equations governing the sys...
nishthajain
577
views
answered
Dec 31, 2025
Control Systems
gateec-2025
control-systems
state-equations
differential-equations
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–
1
1 vote
1
1 answer
1.5k
1.5k views
GATE ECE 2021 | Question: 14
The complete Nyquist plot of the open-loop transfer function $G(s)H(s)$ of a feedback control system in the figure.If $G(s)H(s)$ has one zero in the right-half of the $s$...
Saby69
1.5k
views
answered
Dec 21, 2025
Control Systems
gateec-2021
control-systems
nyquist
transfer-function
numerical-answers
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–
1
1 vote
2
2 answers
1.0k
1.0k views
GATE ECE 2025 | Question: 6
The Nyquist plot of a system is given in the figure below. Let $\omega_{P}, \omega_{Q}, \omega_{R}$, and $\omega_{S}$ be the positive frequencies at the points $\boldsymb...
Saby69
1.0k
views
answered
Dec 7, 2025
Control Systems
gateec-2025
control-systems
frequency-response
+
–
1
1 vote
0
0 answers
628
628 views
GATE ECE 2025 | Question: 16
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 val...
Shubham Sharma 2
628
views
asked
Mar 4, 2025
Control Systems
gateec-2025
control-systems
+
–
1
1 vote
0
0 answers
397
397 views
GATE ECE 2025 | Question: 26
Let $G(s)=\frac{1}{10 s^{2}}$ be the transfer function of a second-order system. A controller $M(s)$ is connected to the system $G(s)$ in the configuration shown below.Co...
Shubham Sharma 2
397
views
asked
Mar 4, 2025
Control Systems
gateec-2025
control-systems
transfer-function
stability
+
–
1
1 vote
0
0 answers
395
395 views
GATE ECE 2025 | Question: 27
Consider the polynomial $p(s)=s^{5}+7 s^{4}+3 s^{3}-33 s^{2}+2 s-40$. Let $(L, I, R)$ be defined as follows.$L$ is the number of roots of $p(s)$ with negative real parts....
Shubham Sharma 2
395
views
asked
Mar 4, 2025
Control Systems
gateec-2025
control-systems
polynomials
routh-hurwitz
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–
1
1 vote
0
0 answers
575
575 views
GATE ECE 2025 | Question: 46
Consider a system represented by the block diagram shown below. Which of the following signal flow graphs represent(s) this system? Choose the correct option(s).
Shubham Sharma 2
575
views
asked
Mar 4, 2025
Control Systems
gateec-2025
control-systems
signal-flow-graph
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–
2
2 votes
0
0 answers
2.8k
2.8k views
GATE ECE 2024 | Question: 3
In the feedback control system shown in the figure below $G(s)=\frac{6}{s(s+1)(s+2)}$.$\text{R(s), Y(s)}$, and $\text{E(s)}$ are the Laplace transforms of $r(t), y(t)$...
admin
2.8k
views
asked
Feb 16, 2024
Control Systems
gateece-2024
steady-state
control-systems
laplace-transform
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–
1
1 vote
0
0 answers
2.3k
2.3k views
GATE ECE 2024 | Question: 27
Consider a unity negative feedback control system with forward path gain $G(s)=\frac{K}{(s+1)(s+2)(s+3)}$ as shown.The impulse response of the closed-loop system dec...
admin
2.3k
views
asked
Feb 16, 2024
Control Systems
gateece-2024
feedback-systems
poles-and-zeros
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–
1
1 vote
0
0 answers
2.0k
2.0k views
GATE ECE 2024 | Question: 28
A satellite attitude control system, as shown below, has a plant with transfer function $G(s)=\frac{1}{s^{2}}$ cascaded with a compensator $C(s)=\frac{K(s+\alpha)}{s...
admin
2.0k
views
asked
Feb 16, 2024
Control Systems
gateece-2024
feedback-systems
transfer-function
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–
1
1 vote
0
0 answers
795
795 views
GATE ECE 2024 | Question: 43
Consider a system $S$ represented in state space as\[\frac{d x}{d t}=\left[\begin{array}{ll}0 & -2 \\1 & -3\end{array}\right] x+\left[\begin{array}{l}1 \\0\end{array}\rig...
admin
795
views
asked
Feb 16, 2024
Control Systems
gateece-2024
transfer-function
state-equations
control-systems
+
–
1
1 vote
1
1 answer
878
878 views
GATE ECE 2011 | Question: 16
The root locus plot for a system is given below. The open loop transfer function corresponding to this plot is given by$G(s) H(s)=k \frac{s(s+1)}{(s+2)(s+3)}$$G(s) H(s)=k...
Bhargavi_16
878
views
answered
Dec 20, 2023
Control Systems
gate2011-ec
control-systems
transfer-function
+
–
1
1 vote
1
1 answer
1.1k
1.1k views
GATE ECE 2020 | Question: 38
$P, Q$, and $R$ are the decimal integers corresponding to the $4$-bit binary number $1100$ considered in signed magnitude, $1$’s complement, and $2$’s complement represen...
Deepak Poonia
1.1k
views
answered
Oct 17, 2023
Control Systems
gate2020-ec
control-systems
+
–
1
1 vote
0
0 answers
1.4k
1.4k views
GATE ECE 2023 | Question: 12
A cascade of common-source amplifiers in a unity gain feedback configuration oscillates whenthe closed loop gain is less than $1$ and the phase shift is less than $180^{\...
admin
1.4k
views
asked
May 20, 2023
Control Systems
gateece-2023
control-systems
analog-circuits
amplifier
feedback-systems
+
–
1
1 vote
0
0 answers
706
706 views
GATE ECE 2023 | Question: 15
The open loop transfer function of a unity negative feedback system is $G(s)=\frac{k}{s\left(1+s T_1\right)\left(1+s T_2\right)}$, where $k, T_1$ and $T_2$ are positive c...
admin
706
views
asked
May 20, 2023
Control Systems
gateece-2023
control-systems
transfer-function
frequency-response
+
–
1
1 vote
0
0 answers
600
600 views
GATE ECE 2023 | Question: 31
A closed loop system is shown in the figure where $\mathrm{k}>0$ and $\alpha>0$. The steady state error due to a ramp input $\left(\mathrm{R}(\mathrm{s})=\alpha / \mathrm...
admin
600
views
asked
May 20, 2023
Control Systems
gateece-2023
control-systems
steady-state
numerical-answers
+
–
1
1 vote
0
0 answers
677
677 views
GATE ECE 2023 | Question: 32
In the following block diagram, $\mathrm{R}(\mathrm{s})$ and $\mathrm{D}(\mathrm{s})$ are two inputs. The output $\mathrm{Y}(\mathrm{s})$ is expressed as $Y(s)=G_1(s) R(s...
admin
677
views
asked
May 20, 2023
Control Systems
gateece-2023
control-systems
transfer-function
+
–
1
1 vote
0
0 answers
541
541 views
GATE ECE 2023 | Question: 33
The state equation of a second order system is$\dot{\boldsymbol{x}}(t)=\mathrm{A} \boldsymbol{x}(t), \; \boldsymbol{x}(0)$ is the initial condition.Suppose $\lambda_1$ an...
admin
541
views
asked
May 20, 2023
Control Systems
gateece-2023
state-equations
control-systems
linear-algebra
+
–
1
1 vote
0
0 answers
437
437 views
TIFR ECE 2015 | Question: 1
For a time-invariant system, the impulse response completely describes the system if the system iscausal and non-linearnon-causal and non-linearcausal and linearAll of th...
admin
437
views
asked
Dec 15, 2022
Control Systems
tifr2015
linear-time-invariant-systems
impulse-response
system-properties
signals-and-systems
+
–
1
1 vote
0
0 answers
343
343 views
TIFR ECE 2012 | Question: 7
A linear time-invariant system has a transfer function $H(s)=1 /(1+s)$. If the input to the system is $\cos (t)$, the output is$\left(e^{j t}+e^{-j t}\right) / 2$ where $...
admin
343
views
asked
Dec 8, 2022
Control Systems
tifr2012
linear-time-invariant-systems
transfer-function
continuous-time-signals
+
–
1
1 vote
0
0 answers
392
392 views
TIFR ECE 2010 | Question: 1
A linear system could be a composition ofTwo non-linear systemsa non-causal non-linear system and a linear systema time varying non-linear system and a time varying linea...
admin
392
views
asked
Nov 30, 2022
Control Systems
tifr2010
linear-time-invariant-systems
system-properties
others
+
–
1
1 vote
0
0 answers
308
308 views
TIFR ECE 2018 | Question: 6
Consider the system shown below.If $K>0$, which of the following describes the system?Stable, causalStable, non-causalUnstable, non-causalUnstable, causalCannot be determ...
admin
308
views
asked
Nov 29, 2022
Control Systems
tifrece2018
control-systems
stability
+
–
1
1 vote
0
0 answers
360
360 views
TIFR ECE 2017 | Question: 1
Consider a system which in response to input $x(t)$ outputs\[y(t)=2 x(t-2)+x(2 t-1)+1 .\]Which of the following describes the system?linear, time-invariant, causallinear,...
admin
360
views
asked
Nov 29, 2022
Control Systems
tifrece2017
signals-and-systems
continuous-time-signals
system-properties
+
–
1
1 vote
0
0 answers
380
380 views
TIFR ECE 2016 | Question: 4
Consider a system which in response to input $x(t)$ outputs\[y(t)=x\left(t^{2}\right) .\]Which of the following describes the system?linear, time-invariant, causallinear,...
admin
380
views
asked
Nov 29, 2022
Control Systems
tifrece2016
continuous-time-signals
system-properties
+
–
0
0 votes
0
0 answers
350
350 views
GATE ECE 1997 | Question 1.5
The Laplace Transform of $e \alpha t \cos (\alpha \; t)$ is equal to$\frac{(s-\alpha)}{(s-\alpha)^2+\alpha^2}$$\frac{(s+\alpha)}{(s-\alpha)^2+\alpha^2}$$\frac{1}{(s-\alph...
admin
350
views
asked
Oct 2, 2022
Control Systems
gate1997-ec
laplace-transform
continuous-time-signals
calculus
+
–
0
0 votes
0
0 answers
330
330 views
GATE ECE 1997 | Question 3.4
In the signal flow graph of the figure is $\text{y/ x}$ equals$3$$\frac{5}{2}$$2$None of the above
admin
330
views
asked
Oct 2, 2022
Control Systems
gate1997-ec
control-systems
signal-flow-graph
numerical-answers
+
–
0
0 votes
1
1 answer
1.1k
1.1k views
GATE ECE 2018 | Question: 5
The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining the stability od feedback controllers. Identify which of the foll...
anonymous
1.1k
views
answered
Feb 20, 2018
Control Systems
gate2018-ec
control-systems
nyquist
+
–
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