81. Two identical first order systems have been cascaded non-interactively, the unit step response of system is:
82. Match List-I with List-II and select the correct answer, using the options given below the lists:
List-I
List-II
a. Lag compensation
1. Exterior of unit Circle
b. Lead compensation
2. PD Control
c. Stability
3. Non-minimum phase
d. Instability
4. Left half of s-plane
5. PI control
| List-I | List-II |
| a. Lag compensation | 1. Exterior of unit Circle |
| b. Lead compensation | 2. PD Control |
| c. Stability | 3. Non-minimum phase |
| d. Instability | 4. Left half of s-plane |
| 5. PI control |
83. If a zero is added in a forward path of a second order system:
84. The phase margin of a system with the open-loop transfer function $$G\left( s \right)H\left( s \right) = \frac{{\left( {1 - s} \right)}}{{\left( {1 + s} \right)\left( {2 + s} \right)}}$$
85. The signal flow graph of a closed-loop system is shown in the figure, where TD represents the disturbance in the forward path: The effect of the disturbance can be reduced by:
86. A unity feedback system has a forward path transfer function equal to $$\frac{{42.25}}{{s\left( {s + 6.5} \right)}}.$$ The unit step response of this system starting from rest, will have its maximum value at time equal to:
87. A second-order system has a transfer function given by $$G\left( s \right) = \frac{{25}}{{{s^2} + 8s + 25}}.$$ If the system, initially at rest, is subjected to a unit step input at t = 0. the second peak in the response will occur at
88. Given the state variable model {A, B, C} of a single-input, single-output system, the asymptotic stability is determined from:
89. The transfer function \[\frac{{Y\left( s \right)}}{{U\left( s \right)}}\] of a system described by the state equations \[\mathop {\rm{x}}\limits^ \cdot \](t) = -2x(t) + 2u(t) and y(t) = 0.5x(t) is
90. Consider the system \[\frac{{dx}}{{dt}} = Ax + Bu\] with \[A = \left[ {\begin{array}{*{20}{c}}
1&0\\
0&1
\end{array}} \right]\] and \[B = \left[ \begin{array}{l}
p\\
q
\end{array} \right]\] where p and q are arbitrary real numbers. Which of the following statements about the controllability of the system is true?
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