From the figure shown below, the Transfer function of the signal flow graph is:
A. 1 − T 22 T 12
B. 1 − T 12 T 22
C. 1 + T 22 T 12
D. 1 + T 12 T 22
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In a closed loop system for which the output is the speed of a motor, the output rate control can be used to:
A. Limit the speed of the motor
B. Limit the torque output of the motor
C. Reduce the damping of the system
D. Limit the acceleration of the motor
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The following quantities give a measure of the transient characteristics of a control system, when subjected to unit step excitation:
1. Maximum overshoot
2. Maximum undershoot
3. Overall gain
4. Delay time
5. Rise time
6. Fall time
A. 1, 3 and 5
B. 2, 4 and 5
C. 2, 4 and 6
D. 1, 4 and 5
Select an option to see the answer and solution.
For the given circuit, which one of the following is the correct state equation?
A. \frac{d}{{dt}}\left[ \begin{array}{l}
v\\
i
\end{array} \right] = \left[ {\begin{array}{*{20}{c}}
{ - 4}&4\\
{ - 2}&{ - 4}
\end{array}} \right]\left[ \begin{array}{l}
v\\
i
\end{array} \right] + \left[ {\begin{array}{*{20}{c}}
0&4\\
4&0
\end{array}} \right]\left[ \begin{array}{l}
{i_1}\\
{i_2}
\end{array} \right]
B. \frac{d}{{dt}}\left[ \begin{array}{l}
v\\
i
\end{array} \right] = \left[ {\begin{array}{*{20}{c}}
{ - 4}&{ - 4}\\
{ - 2}&{ - 4}
\end{array}} \right]\left[ \begin{array}{l}
v\\
i
\end{array} \right] + \left[ {\begin{array}{*{20}{c}}
4&0\\
0&4
\end{array}} \right]\left[ \begin{array}{l}
{i_1}\\
{i_2}
\end{array} \right]
C. \frac{d}{{dt}}\left[ \begin{array}{l}
v\\
i
\end{array} \right] = \left[ {\begin{array}{*{20}{c}}
{ - 4}&{ - 4}\\
{ - 2}&4
\end{array}} \right]\left[ \begin{array}{l}
v\\
i
\end{array} \right] + \left[ {\begin{array}{*{20}{c}}
4&4\\
4&0
\end{array}} \right]\left[ \begin{array}{l}
{i_1}\\
{i_2}
\end{array} \right]
D. \frac{d}{{dt}}\left[ \begin{array}{l}
v\\
i
\end{array} \right] = \left[ {\begin{array}{*{20}{c}}
4&{ - 4}\\
{ - 2}&{ - 4}
\end{array}} \right]\left[ \begin{array}{l}
v\\
i
\end{array} \right] + \left[ {\begin{array}{*{20}{c}}
0&4\\
4&4
\end{array}} \right]\left[ \begin{array}{l}
{i_1}\\
{i_2}
\end{array} \right]
Select an option to see the answer and solution.
What is the value of K for a unity feedback system with G ( s ) = s ( 1 + s ) K to have a peak overshoot of 50%?
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Which of the following components can be used as a rotating amplifier in a control system?
1. An amplidyne
2. A separately excited dc generator
3. A self-excited dc generator
4. A synchro
Select the correct answer using the options given below:
A. 3 and 4
B. 1 and 2
C. 1, 2 and 3
D. 1, 2, 3 and 4
Select an option to see the answer and solution.
For the following feedback system
G ( s ) = ( s + 1 ) ( s + 2 ) 1 . The 2% settling time of the step response is required to be less than 2 seconds.
Which one of the following compensators C(s) achieves this?
A. 3 ( s + 5 1 )
B. 5 ( s 0.03 + 1 )
C. 2 ( s + 4 )
D. 4 ( s + 3 s + 8 )
Select an option to see the answer and solution.
The main purpose of feedback in a control system is
A. To have a reduced time constant
B. To make the system more stable
C. To decrease the response error
D. Sensitivity of the system is increased
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In control systems, we have
1. Nyquist Criterion
2. Bode plot
3. Root locus plot
4. RH-Criterion
Which of the above are in time domain?
A. 1 and 2 only
B. 2 and 4 only
C. 1 and 3 only
D. 3 and 4 only
Select an option to see the answer and solution.
In a feedback control system, phase margin (PM) is:
1. Directly proportional to ξ
2. Inversely proportional to ξ
3. Independent of ξ
4. Zero when ξ = 0
Which of the above statements are correct?
A. 1 and 2
B. 2 and 3
C. 3 and 4
D. 1 and 4
Select an option to see the answer and solution.
The below figure shows the root locus of a unity feedback system. The open loop transfer function of the system is:
A. s ( s + 1 ) ( s + 2 ) K
B. ( s + 1 ) ( s + 2 ) K s
C. s ( s + 2 ) K ( s + 1 )
D. s ( s + 1 ) K ( s + 2 )
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In case of synchro error detector, the electrical zero position of control transformer is obtained when angular displacement between rotors is:
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Separation property of state-transition matrix is:
A. φ(t - t0 ) = φ(t) φ(t0 )
B. φ(t - t0 ) = φ-1 (t) φ(t0 )
C. φ(t - t0 ) = φ(t) φ-1 (t0 )
D. φ(t - t0 ) = φ-1 (t) φ-1 (t0 )
Select an option to see the answer and solution.
Given A = \left[ {\begin{array}{*{20}{c}}
1&0\\
0&1
\end{array}} \right] the state transition matrix eAt is given by
A. \left[ {\begin{array}{*{20}{c}}
0&{{e^{ - t}}}\\
{{e^{ - t}}}&0
\end{array}} \right]
B. \left[ {\begin{array}{*{20}{c}}
{{e^t}}&0\\
0&{{e^t}}
\end{array}} \right]
C. \left[ {\begin{array}{*{20}{c}}
{{e^{ - t}}}&0\\
0&{{e^{ - t}}}
\end{array}} \right]
D. \left[ {\begin{array}{*{20}{c}}
0&{{e^t}}\\
{{e^t}}&0
\end{array}} \right]
Select an option to see the answer and solution.
A first order instrument is characterised by
A. Time constant only
B. Static sensitivity and time constant
C. Static sensitivity only
D. Damping coefficient and static sensitivity
Select an option to see the answer and solution.
Two identical first order systems have been cascaded non-interactively. The unit step response of the system will be
A. Over-damped
B. Under-damped
C. Undamped
D. Critically damped
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The block diagram of a system is illustrated in the figure shown, where X(s) is the input Y(s) is the output. The transfer function
H ( s ) = X ( s ) Y ( s ) is
A. H ( s ) = 2 s 2 + 1 s 2 + 1
B. H ( s ) = s 3 + 2 s 2 + s + 1 s 2 + 1
C. H ( s ) = s 2 + s + 1 s + 1
D. H ( s ) = s 3 + s 2 + s + 1 s 2 + 1
Select an option to see the answer and solution.
What is the unit step response of a unity feedback control system having forward path transfer function G ( s ) = s ( s + 18 ) 80 ?
A. Overdamped
B. Critically damped
C. Underdamped
D. Undamped oscillatory
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Consider the following statements regarding time response specifications:
1. Delay time is the time required for the response to reach 10% to 90% or 5% to 95% or 0% to 100% of its final value.
2. Peak time is the time required for the response to reach the first peak overshoot.
3. Settling time is the time required for the response to reach and maintain beyond a specified tolerance band, i.e., either 3% or 5% of the initial value.
Which of the above statements are not correct?
A. 1 and 2 only
B. 1 and 3 only
C. 2 and 3 only
D. 1, 2 and 3
Select an option to see the answer and solution.
A unit step input is applied to the negative feedback system whose closed loop transfer function is s 2 + 4.8 s + 9 63 , then the steady state value of the output is
Select an option to see the answer and solution.