31. The response c(t) of a system is described by the differential equation $$\frac{{{d^2}c\left( t \right)}}{{d{t^2}}} + 4\frac{{dc\left( t \right)}}{{dt}} + 5c\left( t \right) = 0$$
The system response is:
The system response is:
32. For small value of gain K, the root must be:
33. The open loop dc gain of the unity negative feedback system with closed-loop transfer function $$\frac{{s + 4}}{{{s^2} + 7s + 13}}$$ is
34. A system has a single pole at origin. Its impulse response will be:
35. A lag network for compensation normally consist of
36. The state variable representation of a system is given as
\[\begin{array}{l}
\mathop x\limits^ \cdot = \left[ {\begin{array}{*{20}{c}}
0&1\\
0&{ - 1}
\end{array}} \right]x,\,x\left( 0 \right) = \left[ \begin{array}{l}
1\\
0
\end{array} \right]\\
y = \left[ {0\,\,1} \right]x
\end{array}\]
The response y(t) is
\[\begin{array}{l} \mathop x\limits^ \cdot = \left[ {\begin{array}{*{20}{c}} 0&1\\ 0&{ - 1} \end{array}} \right]x,\,x\left( 0 \right) = \left[ \begin{array}{l} 1\\ 0 \end{array} \right]\\ y = \left[ {0\,\,1} \right]x \end{array}\]
The response y(t) is
37. For a type 1 system, the low frequency asymptote of its Bode plot will have a slope of:
38. Consider the following statements for signal flow graph:
1. It represents linear as well as non-linear systems.
2. It is not unique for a given system.
Which of the above statements is/are correct?
1. It represents linear as well as non-linear systems.
2. It is not unique for a given system.
Which of the above statements is/are correct?
39. The gain-phase plots of open-loop transfer function of four different systems are shown below. The correct sequence of the increasing order of stability of these four systems will be:
40. Group I gives two possible choices for the impedance Z in the diagram. The circuit elements in Z satisfy the condition R2C2 > R1C1. The transfer function $$\frac{{{V_0}}}{{{V_i}}}$$ represents a kind of controller. Match the impedances in Group I with the types of controllers in Group II.
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