The transfer function Y(s)/U(s) of a system described by the stste equations X(t)=-2x(t)+2u(t) and y(t)=0.5x(t), is

1.  

2.  

3.  

4.  

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4
Correct Answer :


Explanation :
No Explanation available for this question

A linear time-variant system described by the state variable model

1.  Is completely controllable

2.  Is not completely controllable

3.  Is completely observable

4.  Is not completely observable

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4
Correct Answer :

Is not completely controllable


Explanation :
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A linear second-order single-input continuous-time system is described by the following set of differential equations: (t)=-2X1(t)+4X2(t) (t)=2X1(t)-X2(t)+u(t) Where X1(t) and X2(t) are the state variables and u(t) is the control variable. The system is

1.  controllable and stable

2.  controllable but unstable

3.  uncontrollable and unstable

4.   uncontrollable but stable

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4
Correct Answer :

controllable but unstable


Explanation :
No Explanation available for this question

The transfer function for the state various representation =AX+Bu, Y=CX+Du, is given by

1.  D+C(sI-A)-1B

2.  B(sI-A)-1C+D

3.  D(sI-A)-1B+C

4.  C(sI-A)-1D+B

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4
Correct Answer :

D+C(sI-A)-1B


Explanation :
No Explanation available for this question

If system is initially at rest, the response to a unit step is given by the response to a signal is given by

1.  

2.  

3.  

4.  

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4
Correct Answer :


Explanation :
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The system =X+u is

1.  Controllable but unstable

2.  Uncontrollable and unstable

3.  Controllable and stable

4.   Uncontrollable and stable

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4
Correct Answer :

Uncontrollable and unstable


Explanation :
No Explanation available for this question

For the system =X+u; y[4 0]X with u as unit impulse and with zero intial state output, y, becomes

1.  2e2t

2.  4e2t

3.  2e2t

4.  4e4t

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4
Correct Answer :

4e2t


Explanation :
No Explanation available for this question

The Laplace transform of the waveform shown in the figure is What is the value of D

1.  -0.5

2.  -1.5

3.  0.5

4.  s2.0

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4
Correct Answer :

-0.5


Explanation :
No Explanation available for this question

consider a system shown in the given figure. If the system is disturbed so that C(0)=1, then c(t) for a unit step input will be

1.  1+t

2.  1-t

3.  1+2t

4.  1-2t

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4
Correct Answer :

1+2t


Explanation :
No Explanation available for this question

The overshoot of the system for a step input applied would be

1.  60%

2.  40%

3.  20%

4.  10%

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4
Correct Answer :

40\%


Explanation :
No Explanation available for this question
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