1
GATE ECE 2024
MCQ (Single Correct Answer)
+1
-0.33

In the feedback control system shown in the figure below $G(s) = \dfrac{6}{s(s+1)(s+2)}$.

GATE ECE 2024 Control Systems - Time Response Analysis Question 2 English

$R(s), Y(s),$ and $E(s)$ are the Laplace transforms of $r(t), y(t),$ and $e(t)$, respectively. If the input $r(t)$ is a unit step function, then __________

A

$\lim\limits_{t \to \infty} e(t) = 0$

B

$\lim\limits_{t \to \infty} e(t) = \dfrac{1}{3}$

C

$\lim\limits_{t \to \infty} e(t) = \dfrac{1}{4}$

D

$\lim\limits_{t \to \infty} e(t)$ does not exist, $e(t)$ is oscillatory

2
GATE ECE 2017 Set 1
Numerical
+1
-0
The open loop transfer function $$$\mathrm G\left(\mathrm s\right)\;=\;\frac{\left(\mathrm s\;+\;1\right)}{\mathrm s^\mathrm p\left(\mathrm s\;+\;2\right)\left(\mathrm s\;+\;3\right)}$$$ Where p is an integer, is connected in unity feedback configuration as shown in figure. GATE ECE 2017 Set 1 Control Systems - Time Response Analysis Question 47 English Given that the steady state error is zero for unit step input and is 6 for unit ramp input, the value of the parameter p is _________.
Your input ____
3
GATE ECE 2016 Set 2
Numerical
+1
-0
The response of the system $$G\left(s\right)\;=\;\frac{s\;-\;2}{\left(s\;+\;1\right)\left(s\;+\;3\right)}$$ to the unit step input u(t) is y(t). The value of $$\frac{\mathrm{dy}}{\mathrm{dt}}\;\mathrm{at}\;\mathrm t\;=\;0^+\;\mathrm{is}$$ ___________.
Your input ____
4
GATE ECE 2016 Set 3
MCQ (Single Correct Answer)
+1
-0.3
For the unity feedback control system shown in the figure, the open-loop transfer function G(s) is given as $$G\left(s\right)\;=\;\frac2{s\left(s\;+\;1\right)}$$ .The steady state error ess due to a unit step input is GATE ECE 2016 Set 3 Control Systems - Time Response Analysis Question 48 English
A
$$0$$
B
0.5
C
1.0
D
$$\infty$$
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