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Recent activity in Control Systems
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0 votes
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1 answer
434
434 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
434
views
answered
Aug 11
Control Systems
gate2005-ec
control-systems
frequency-response
transfer-function
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–
1
1 vote
1
1 answer
673
673 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
673
views
answered
Aug 11
Control Systems
gateece-2023
control-systems
frequency-response
transfer-function
numerical-answers
+
–
1
1 vote
0
0 answers
240
240 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...
Jashbhai
240
views
commented
Jul 26
Control Systems
gateec-2026
differential-equations
linear-algebra
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–
0
0 votes
1
1 answer
422
422 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
422
views
answered
Jul 3
Control Systems
gate1998-ec
control-systems
numerical-answers
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1
1 vote
1
1 answer
559
559 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
559
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
535
535 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
535
views
answered
Jun 28
Control Systems
gate1991-ec
control-systems
transfer-function
numerical-answers
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–
1
1 vote
1
1 answer
845
845 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
845
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
857
857 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
857
views
answered
Jun 26
Control Systems
gate2008-ec
control-systems
transfer-function
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–
0
0 votes
0
0 answers
136
136 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...
Shri 1
136
views
edited
Mar 6
Control Systems
gateec-2026
numerical-answers
control-systems
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–
0
0 votes
0
0 answers
134
134 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...
Shri 1
134
views
edited
Mar 6
Control Systems
gateec-2026
control-systems
transfer-function
state-equations
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0
0 votes
0
0 answers
191
191 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...
Shri 1
191
views
edited
Mar 6
Control Systems
gateec-2026
control-systems
transfer-function
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–
1
1 vote
0
0 answers
266
266 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)}$$\df...
Shri 1
266
views
edited
Mar 6
Control Systems
gateec-2026
control-systems
transfer-function
+
–
1
1 vote
1
1 answer
590
590 views
GATE ECE 2025 | Question: 43
Consider a system where $x_{1}(t), x_{2}(t)$, and $x_{3}(t)$ are three internal state signals and $u(t)$ is the input signal. The differential equations governing the sys...
nishthajain
590
views
answered
Dec 31, 2025
Control Systems
gateec-2025
control-systems
state-equations
differential-equations
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–
1
1 vote
1
1 answer
1.6k
1.6k views
GATE ECE 2021 | Question: 14
The complete Nyquist plot of the open-loop transfer function $G(s)H(s)$ of a feedback control system in the figure.If $G(s)H(s)$ has one zero in the right-half of the $s$...
Saby69
1.6k
views
answered
Dec 21, 2025
Control Systems
gateec-2021
control-systems
nyquist
transfer-function
numerical-answers
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–
1
1 vote
2
2 answers
1.0k
1.0k views
GATE ECE 2025 | Question: 6
The Nyquist plot of a system is given in the figure below. Let $\omega_{P}, \omega_{Q}, \omega_{R}$, and $\omega_{S}$ be the positive frequencies at the points $\boldsymb...
Saby69
1.0k
views
answered
Dec 7, 2025
Control Systems
gateec-2025
control-systems
frequency-response
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–
0
0 votes
0
0 answers
456
456 views
GATE ECE 2014 Set 4 | Question: 21
For the second order closed-loop system shown in the figure, the natural frequency (in rad/s) is$16$$4$$2$$1$
Shubham Sharma 2
456
views
recategorized
Oct 11, 2025
Control Systems
gate2014-ec-4
control-systems
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0
0 votes
0
0 answers
417
417 views
GATE ECE 2013 | Question: 55
The state diagram of a system is shown below. A system is described by the state-variable equations $$\dot{X}= AX+Bu;\:\: y = CX+Du$$The state transition matrix $e^{At}$ ...
Shubham Sharma 2
417
views
edited
Oct 10, 2025
Control Systems
gate2013-ec
state-diagram
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0
0 votes
0
0 answers
220
220 views
GATE ECE 2005 | Question: 66
A ramp input applied to an unity feedback system results in $5 \%$ steady state error. The type number and zero frequency gain of the system are respectively$1$ and $20$$...
Shubham Sharma 2
220
views
edited
Oct 10, 2025
Control Systems
gate2005-ec
control-systems
feedback-systems
numerical-answers
+
–
0
0 votes
0
0 answers
413
413 views
GATE ECE 2002 | Question: 1.13
Consider a system with the transfer function $G(s)=\frac{s+6}{k s^2+s+6}$. Its damping ratio will be $0.5$ when the value of $k$ is$2 / 6$$3$$1 / 6$$6$
Shubham Sharma 2
413
views
edited
Oct 10, 2025
Control Systems
gate2002-ec
control-systems
transfer-function
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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...
Shubham Sharma 2
2.0k
views
recategorized
May 18, 2025
Control Systems
gateece-2024
feedback-systems
transfer-function
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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...
Shubham Sharma 2
2.3k
views
recategorized
May 18, 2025
Control Systems
gateece-2024
feedback-systems
poles-and-zeros
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–
1
1 vote
0
0 answers
585
585 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).
jothee_new
585
views
edited
May 12, 2025
Control Systems
gateec-2025
control-systems
signal-flow-graph
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–
1
1 vote
0
0 answers
402
402 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....
jothee_new
402
views
edited
May 12, 2025
Control Systems
gateec-2025
control-systems
polynomials
routh-hurwitz
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–
1
1 vote
0
0 answers
411
411 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...
jothee_new
411
views
edited
May 12, 2025
Control Systems
gateec-2025
control-systems
transfer-function
stability
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–
1
1 vote
0
0 answers
641
641 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...
jothee_new
641
views
edited
May 12, 2025
Control Systems
gateec-2025
control-systems
+
–
1
1 vote
0
0 answers
313
313 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...
Arjun
313
views
recategorized
Apr 21, 2025
Control Systems
tifrece2018
control-systems
stability
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–
1
1 vote
0
0 answers
367
367 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,...
Arjun
367
views
recategorized
Apr 21, 2025
Control Systems
tifrece2017
signals-and-systems
continuous-time-signals
system-properties
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–
1
1 vote
0
0 answers
387
387 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,...
Arjun
387
views
recategorized
Apr 21, 2025
Control Systems
tifrece2016
continuous-time-signals
system-properties
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–
1
1 vote
0
0 answers
442
442 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...
Arjun
442
views
recategorized
Apr 21, 2025
Control Systems
tifr2015
linear-time-invariant-systems
impulse-response
system-properties
signals-and-systems
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–
1
1 vote
0
0 answers
353
353 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 $...
Arjun
353
views
recategorized
Apr 21, 2025
Control Systems
tifr2012
linear-time-invariant-systems
transfer-function
continuous-time-signals
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