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Control Systems
Time Response Analysis
Steady State Analysis

Questions mapped to Steady State Analysis under Time Response Analysis.

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Q#1 Time Response Analysis GATE EE 2019 (Set 1) MCQ +1 mark -0.33 marks

The output response of a system is denoted as y(t), and its Laplace transform is given by   the steady state value of y(t)  is

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Q#2 Time Response Analysis GATE EE 2018 (Set 1) NAT +1 mark -0 marks

Consider a unity feedback system with forward transfer function given by

 

The steady-state error in the output of the system for a unit-step input is______(up to 2 decimal places).

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Q#3 Time Response Analysis GATE EE 2017 (Set 2) MCQ +1 mark -0.33 marks

When a unit ramp input is applied to the unity feedback system having closed loop transfer function , the steady rate error will be

0

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Q#4 Time Response Analysis GATE EE 2015 (Set 2) NAT +1 mark -0 marks

An open loop control system results in a response of  for a unit impulse input. The DC gain of the control system is ___________.

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Q#5 Time Response Analysis GATE EE 2014 (Set 2) NAT +1 mark -0 marks

The closed-loop transfer function of a system is . The steady state error due to unit step input is_____________.

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Q#6 Time Response Analysis GATE EE 2011 (Set 1) MCQ +1 mark -0.33 marks

The steady state error of a unity feedback linear system for a unit step input is 0.1. The steady state error of the same system, for a pulse input r(t) having a magnitude of 10 and a duration of one second, as shown in the figure is         

7.jpg

0

0.1

1

10

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Q#7 Time Response Analysis GATE EE 2008 (Set 1) MCQ +2 marks -0.66 marks

The transfer function of a linear time invariant system is given as

The steady state value of the output of this system for a unit impulse input applied at time instant t = 1 will be

0

0.5

1

2

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Q#8 Time Response Analysis GATE EE 2007 (Set 1) MCQ +2 marks -0.66 marks

Consider the feedback control system shown below which is subjected to a unit step input. The system is stable and has the following parameters and         

The steady state value of z is

1

0.25

0.1

0

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Q#9 Time Response Analysis GATE EE 2005 (Set 1) MCQ +2 marks -0.66 marks

When subjected to a unit step input, the closed loop control system shown in Figure will have a steady state error of

-1.0

-0.5

0

0.5

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Q#10 Time Response Analysis GATE EE 2004 (Set 1) MCQ +1 mark -0.33 marks

Consider the function , where F(s) is the Laplace transform of the function f(t). The initial value of f(t) is equal to

5

0

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Q#11 Time Response Analysis GATE EE 2004 (Set 1) MCQ +2 marks -0.66 marks

The unit impulse response of a second order under-damped system starting from rest is given by

The steady-state value of the unit step response of the system is equal to

0

0.25

0.5

1.0

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Q#12 Time Response Analysis GATE EE 2003 (Set 1) MCQ +1 mark -0.33 marks

A control system is defined by the following mathematical relationship

The response of the system as t →∞ is

x = 6

x = 2

x = 2.4

x = −2

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Q#13 Time Response Analysis GATE EE 2003 (Set 1) MCQ +2 marks -0.66 marks

The block diagram shown in Figure gives a unity feedback closed loop control system. The steady state error in the response of the above system to unit step input is

25%

0.75%

6%

33%

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Q#14 Time Response Analysis GATE EE 2000 (Set 1) MCQ +1 mark -0.33 marks

A unity feedback system has open loop transfer function G(s). The steady-state error is zero for

Step input and type-1 G(s)

Ramp input and type – 1 G(s)

Step input and type-0 G(s)

Ramp input and type – 0 G(s)

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Q#15 Time Response Analysis GATE EE 1996 (Set 1) MCQ +1 mark -0.33 marks

For a feedback control system of type 2, the steady state error for a ramp input is

infinite

constant

zero

Indeterminate

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Q#16 Time Response Analysis GATE EE 1995 (Set 1) MCQ +1 mark -0.33 marks

The Laplace transform of f(t) is F(s). Given , the final value of f(t) is :

infinity

zero

one

none of the above

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Q#17 Time Response Analysis GATE EE 1995 (Set 1) NAT +1 mark -0 marks

The steady state error due to a step input for type 1 system is _______________

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Q#18 Time Response Analysis GATE EE 1992 (Set 1) MCQ +1 mark -0.33 marks

For what values of ‘a’ does the system shown in figure have a zero steady state error  for a step input?                 

Z:\PY\EE\Redreaw figure\control system\update\266-02.jpg

a=10

for no value of ‘a’

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