61. For the flow diagram shown in figure, the transfer function $$\frac{{Y\left( s \right)}}{{R\left( s \right)}}$$ is
62. The basic element for a pneumatic controller is
63. A system described by the transfer function $$H\left( s \right) = \frac{1}{{{s^3} + \alpha {s^2} + Ks + 3}}$$ is stable. The constraints on α and K are,
64. In force current analogy, electrical capacitance is analogous to:
65. A motion control-system has type-2 plant. A recommended cascade compensation scheme for this system employs.
66. The state space representation of a linear time invariant system is:
\[\mathop {\rm{X}}\limits^. \](t) = AX(t) + Bu(t); Y(t) = CX(t)
What is the transfer function H(s) of the system?
What is the transfer function H(s) of the system?
67. A sensitivity of transfer function $$T = \frac{{{A_1} + k{A_2}}}{{{A_3} + k{A_4}}}$$ with respect to parameter k is given by
68. When a human being tries to approach an object, his brain acts as:
69. Two systems are defined by their state veritable equation in time domain dx(t)/dt = Ax(t) + Bu(t) as follows. If the gain equation in this are as given below, which of the following choices is correct?
\[\begin{array}{l}
{\rm{A}} = \left[ {\begin{array}{*{20}{c}}
{ - 2}&1\\
0&{ - 1}
\end{array}} \right],\,{\rm{B}} = \left[ \begin{array}{l}
1\\
0
\end{array} \right]{\rm{. }}{\rm{. }}{\rm{. }}{\rm{. Equation 1}}\\
{\rm{A}} = \left[ {\begin{array}{*{20}{c}}
0&1\\
{ - 1}&0
\end{array}} \right],\,{\rm{B}} = \left[ \begin{array}{l}
0\\
1
\end{array} \right]{\rm{. }}{\rm{. }}{\rm{. }}{\rm{. Equation 2}}
\end{array}\]
\[\begin{array}{l} {\rm{A}} = \left[ {\begin{array}{*{20}{c}} { - 2}&1\\ 0&{ - 1} \end{array}} \right],\,{\rm{B}} = \left[ \begin{array}{l} 1\\ 0 \end{array} \right]{\rm{. }}{\rm{. }}{\rm{. }}{\rm{. Equation 1}}\\ {\rm{A}} = \left[ {\begin{array}{*{20}{c}} 0&1\\ { - 1}&0 \end{array}} \right],\,{\rm{B}} = \left[ \begin{array}{l} 0\\ 1 \end{array} \right]{\rm{. }}{\rm{. }}{\rm{. }}{\rm{. Equation 2}} \end{array}\]
70. If there are sign changes in the first column of Routh's array, the system is
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