22.
The third order system is approximated to an equivalent second order system. The rise time of this approximated system will be

25.
Which of the following is NOT the advantage of Routh-Hurwitz criterion of control system?

26.
Which of the following statements is not true for Nyquist criterion?

27.
. . . . . . . . is defined as the time delay that a signal component of frequency ω undergoes as it passes from the input to output of the system.

28.
A unity feedback control system is characterized by the open-loop transfer function $$G\left( s \right) = \frac{{10k\left( {s + 2} \right)}}{{{s^3} + 3{s^2} + 10}}.$$    The Nyquist path and the corresponding Nyquist plot of G(s) are shown in the figure below.
If 0 < k < 1, then the number of poles of the closed–loop transfer function that lie in the right-half of the s-plane is

29.
Consider the following statements for pneumatic and hydraulic control systems:
1. The normal operating pressure of pneumatic control is very much higher than that of hydraulic control.
2. In pneumatic control, external leakage is permissible to a certain extent, but there should be no leakage in a hydraulic control.
Which of the statements given above is/are correct?

30.
A linear constant parameter continuous-time system has the following A matrix in its state representation \[\mathop {\rm{X}}\limits^ \cdot = {\rm{AX}} + {\rm{Bu}}{\rm{.}}\]
\[{\rm{A}} = \left[ {\begin{array}{*{20}{c}} 0&\alpha \\ \alpha &0 \end{array}} \right]\]
Which one of the following is the natural response of the system following the application of any input?

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