101. A Tachometer has a sensitivity of 5 V/1000 rpm. The Gain constant of the Tachometer is:
102. Which one of the following is the most likely reason for large overshoot in a control system?
103. Given the differential equation model of a physical system, determine the time constant of the system:
$$40\frac{{dx}}{{dt}} + 2x = f\left( t \right)$$
$$40\frac{{dx}}{{dt}} + 2x = f\left( t \right)$$
104. The 3-dB bandwidth of a typical second-order system with the transfer function $$\frac{{C\left( s \right)}}{{R\left( s \right)}} = \frac{{\omega _n^2}}{{{s^2} + 2\xi {\omega _n}s + {\omega ^2}}}$$
105. What will be the transfer function for the system given by the following differential equation?
$$\frac{{A{d^2}y}}{{d{t^2}}} + \frac{{Bdy}}{{dt}} + Cy = Px + Q\frac{{dx}}{{dt}}$$
$$\frac{{A{d^2}y}}{{d{t^2}}} + \frac{{Bdy}}{{dt}} + Cy = Px + Q\frac{{dx}}{{dt}}$$
106. The range of K for stability of a feedback system whose open-loop transfer function $$G\left( s \right) = \frac{K}{{s\left( {s + 1} \right)\left( {s + 2} \right)}}$$ is:
107. The forward transfer function $$G\left( s \right) = \frac{{20}}{{\left( {{s^3} + 2{s^2} + 4s} \right)}}$$ and the feedback gain H(s) = -0.8. Find the closed loop transfer function of the SFG.
108. The state equation and the output equation of a control system are given below;
\[\begin{array}{l}
\mathop x\limits^ \cdot = \left[ {\begin{array}{*{20}{c}}
{ - 4}&{ - 1.5}\\
4&0
\end{array}} \right]x + \left[ \begin{array}{l}
2\\
0
\end{array} \right]u\\
y = \left[ {1.5\,\,\,0.625} \right]x
\end{array}\]
The transfer function representation of the system is
\[\begin{array}{l} \mathop x\limits^ \cdot = \left[ {\begin{array}{*{20}{c}} { - 4}&{ - 1.5}\\ 4&0 \end{array}} \right]x + \left[ \begin{array}{l} 2\\ 0 \end{array} \right]u\\ y = \left[ {1.5\,\,\,0.625} \right]x \end{array}\]
The transfer function representation of the system is
109. Let the state-space representation of an LTI system be \[\mathop {\rm{X}}\limits^ \cdot \](t) = AX(t) + Bu(t), y(t) = CX(t) + Du(t) where A, B, C are matrices, D is a scalar, u(t) is the input to the system, and y(t) is its output. Let B = [0 0 1]T and D = 0. Which one of the following options for A and C will ensure that the transfer function of this LTI system is \[H\left( s \right) = \frac{1}{{{s^3} + 3{s^2} + 2s + 1}}\]
110. $$X\left( s \right) = 1 - \frac{{\left( {\frac{4}{3}} \right)}}{{1 + s}} + \frac{{\left( {\frac{1}{3}} \right)}}{{s - 2}}$$ find no of finite pole and zero . . . . . . . .
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