81. Which one of the following statements is correct in respect of the theory of stability?
82. If $$X\left( s \right) = \frac{1}{{\left( {1 + s} \right)}}$$ is the given network function, which one of the following describes the correct Bode plot?
83. A second-order overall transfer function is given by $$\frac{4}{{{s^2} + 2s + 4}}.$$ It's resonant frequency is:
84. What is the value of the damping ratio of a second order system when the value of the resonant peak is unity?
85. A closed loop system is shown in the above figure.
What is the ratio of output frequencies $$\frac{{\omega \left( {{\text{for }}K = 32} \right)}}{{\omega \left( {{\text{for }}K = 16} \right)}}?$$
What is the ratio of output frequencies $$\frac{{\omega \left( {{\text{for }}K = 32} \right)}}{{\omega \left( {{\text{for }}K = 16} \right)}}?$$
86. The system mode described by state equations
\[\mathop x\limits^. = \left[ {\begin{array}{*{20}{c}}
0&1\\
2&{ - 3}
\end{array}} \right]x + \left[ {\begin{array}{*{20}{c}}
0\\
1
\end{array}} \right]u,\,y = \left[ {1\,\,1} \right]x {\rm{ is}}\]
\[\mathop x\limits^. = \left[ {\begin{array}{*{20}{c}} 0&1\\ 2&{ - 3} \end{array}} \right]x + \left[ {\begin{array}{*{20}{c}} 0\\ 1 \end{array}} \right]u,\,y = \left[ {1\,\,1} \right]x {\rm{ is}}\]
87. If the state space equation of a system is:
\[\mathop x\limits^. = \left[ {\begin{array}{*{20}{c}}
{ - 3}&1\\
0&{ - 2}
\end{array}} \right]x\]
And the initial state value x(0) =[10 -10]T, the steady-state value is [A B]T, what are the respective values of A and B?
\[\mathop x\limits^. = \left[ {\begin{array}{*{20}{c}} { - 3}&1\\ 0&{ - 2} \end{array}} \right]x\]
And the initial state value x(0) =[10 -10]T, the steady-state value is [A B]T, what are the respective values of A and B?
88. In a speed control system, output rate feedback is used to
89. Which one of the following relations holds good for the tachometer shown in the given figure?
90. The frequency at which the magnitude of Bode plot crosses 0 dB axis is known as
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