51. Consider the following statements about a proportional plus derivative controller
1. The maximum or peak overshoot is less
2. The stability of the system is less
3. The stability of the system is increased
4. The settling time is increases
Which of the above statements are correct?
1. The maximum or peak overshoot is less
2. The stability of the system is less
3. The stability of the system is increased
4. The settling time is increases
Which of the above statements are correct?
52. In hydraulic controllers, the advantage of flapper valve over piston valve is the:
53. The ac motor used in servo applications is a
54. Overall transfer function of a system is given as $$G\left( s \right) = \frac{{2s + 1}}{{{s^2} + 2s + 5}}.$$ The system is characterized as
55. Consider a unity feedback control system whose open loop transfer function is $$G\left( s \right) = \frac{K}{{s\left( {Js + F} \right)}}$$
Then for unit ramp input steady state error is given as
Then for unit ramp input steady state error is given as
56. If the characteristic equation of a closed-loop system is s2 + 2s + 2 = 0, then the system is
57. What are the gain and phase angle of a system having the transfer function G(s) = (s + 1) at a frequency of 1 rad/sec?
58. Consider a system described by the state model \[\mathop X\limits^. = \left[ {\begin{array}{*{20}{c}}
2&1\\
{ - 1}&2
\end{array}} \right]X + \left[ \begin{array}{l}
1\\
1
\end{array} \right]U{\rm{ and }}Y = \left[ {1\,\,1} \right]X\]
The system is:
The system is:
59. The signal flow diagram for a certain feedback control system is shown in figure
Now consider the following set of equations for the nodes
1. x2 = a1x1 + a9x3
2. x3 = a2x2 + a8x4
3. x4 = a3x3 + a5x2
4. x5= a4x4 + a6x2
Which of the following are correct?
Now consider the following set of equations for the nodes
1. x2 = a1x1 + a9x3
2. x3 = a2x2 + a8x4
3. x4 = a3x3 + a5x2
4. x5= a4x4 + a6x2
Which of the following are correct?

60. Consider an open - loop transfer function $$G\left( s \right) = \frac{1}{{\left( {s + 2} \right)\left( {s + 4} \right)\left( {{s^2} + 6s + 25} \right)}}.$$ What is the value of k which causes sustained oscillation in the closed - loop system?
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