71. The roots of the characteristic equation 1 + G(s) H(s) = 0 are the same as the
72. System transformation function H(z) for a discrete time LTI system expressed in state variable form with zero initial conditions is
73. The system matrix of a continuous time system is given by \[A = \left[ {\begin{array}{*{20}{c}}
0&1\\
{ - 3}&{ - 5}
\end{array}} \right].\] Then the characteristic equation is
74. If both fast response time and good steady state accuracy are needed . . . . . . . . compensators are used.
75. The open-loop transfer function of a unity feedback control system is $$G\left( s \right) = \frac{1}{{{{\left( {s + 2} \right)}^2}}}$$
The closed loop transfer function poles are located at:
The closed loop transfer function poles are located at:
76. Match List-I with List-II and select the correct answer.
List-I (Functional components)
List-II (Devices)
a. Error detector
1. Three-phase FHP induction motor
b. Servomotor
2. A pair of synchronous transmitter and control transformer
c. Amplifier
3. Tachogenerator
d. Feedback
4. Armature controlled FHP d.c. motor
5. Amplidyne
| List-I (Functional components) | List-II (Devices) |
| a. Error detector | 1. Three-phase FHP induction motor |
| b. Servomotor | 2. A pair of synchronous transmitter and control transformer |
| c. Amplifier | 3. Tachogenerator |
| d. Feedback | 4. Armature controlled FHP d.c. motor |
| 5. Amplidyne |
77. For continuous-time system, state variable representation is $$\frac{{\text{d}}}{{{\text{dt}}}}$$ q(t) = Aq(t) + bx(t)
What is the corresponding representation for discrete-time system?
What is the corresponding representation for discrete-time system?
78. The system matrix of a continuous time system is described in the state variable form is:
\[A = \left[ {\begin{array}{*{20}{c}}
x&0&0\\
0&y&{ - 1}\\
0&1&{ - 2}
\end{array}} \right]\]
The system is stable for all values of x and y satisfying.
\[A = \left[ {\begin{array}{*{20}{c}} x&0&0\\ 0&y&{ - 1}\\ 0&1&{ - 2} \end{array}} \right]\]
The system is stable for all values of x and y satisfying.
79. Error constants of system are a measure of
80. For proper working of a damper, the time constant should be
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