For the flow diagram shown in figure, the transfer function
R ( s ) Y ( s ) is
A. s 2 + 6 s + 11 3
B. s 2 + 5 s + 4 3
C. s 2 + 6 s + 8 3
D. s 2 + 6 s + 11 − 3
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The basic element for a pneumatic controller is
A. Op-Amp
B. RC circuit
C. Flapper nozzle
D. None of these
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A system described by the transfer function H ( s ) = s 3 + α s 2 + K s + 3 1 is stable. The constraints on α and K are,
A. α > 0, αK < 3
B. α > 0, αK > 3
C. α < 0, αK > 3
D. α < 0, αK < 3
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In force current analogy, electrical capacitance is analogous to:
A. Voltage
B. Force
C. Compliance
D. Mass
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A motion control-system has type-2 plant. A recommended cascade compensation scheme for this system employs.
A. a lag compensator
B. a lead compensator
C. either a lag or lead compensator
D. neither a lag nor a lead compensator
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The state space representation of a linear time invariant system is:
X . (t) = AX(t) + Bu(t); Y(t) = CX(t)
What is the transfer function H(s) of the system?
A. C(sI - A)-1 B
B. B(sI - A)-1 C
C. C(sI - A)B
D. B(sI - A)C
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A sensitivity of transfer function T = A 3 + k A 4 A 1 + k A 2 with respect to parameter k is given by
A. ( A 3 + k A 4 ) ( A 1 + k A 2 ) k ( A 2 A 3 − A 1 A 4 )
B. ( A 3 + k A 4 ) 2 ( A 2 A 3 − A 1 A 4 )
C. ( A 3 + k A 4 ) 2 k ( A 2 A 3 − A 1 A 4 )
D. ( A 3 + k A 4 ) ( A 1 + k A 2 ) ( A 2 A 3 − A 1 A 4 )
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When a human being tries to approach an object, his brain acts as:
A. an error measuring device
B. a controller
C. an actuator
D. an amplifier
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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}
A. Both Equations are uncontrollable
B. Both Equations are controllable
C. Only Equations 1 is controllable
D. Only Equations 2 is controllable
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If there are sign changes in the first column of Routh's array, the system is
A. stable
B. unstable
C. unpredictable
D. unrealizable
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The roots of the characteristic equation 1 + G(s) H(s) = 0 are the same as the
A. Poles of the closed loop transfer function
B. Poles of the open loop transfer function
C. Zeros of the closed loop transfer function
D. Zeros of the open loop transfer function
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System transformation function H(z) for a discrete time LTI system expressed in state variable form with zero initial conditions is
A. c(zI - A)-1 b + d
B. c(zI - A)-1
C. (zI - A)-1 z
D. (zI - A)-1
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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
A. s2 + 5s + 3 = 0
B. s2 - 3s - 5 = 0
C. s2 + 3s + 5 = 0
D. s2 + s + 2 = 0
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If both fast response time and good steady state accuracy are needed . . . . . . . . compensators are used.
A. Fast
B. Lead
C. Lag
D. Lag-lead
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The open-loop transfer function of a unity feedback control system is G ( s ) = ( s + 2 ) 2 1
The closed loop transfer function poles are located at:
A. -2, -2
B. -2, -1
C. -2, +2
D. -2 ± j1
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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
A. a-2, b-4, c-1, d-5
B. a-4, b-2, c-5, d-3
C. a-2, b-4, c-5, d-3
D. a-1, b-2, c-3, d-5
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For continuous-time system, state variable representation is dt d q(t) = Aq(t) + bx(t)
What is the corresponding representation for discrete-time system?
A. dt d q[n] = Aq[n] + bx[n]
B. q[n + 1] = Aq[n] + bx[n]
C. q[n] = Aq[n - 1] + bx[n]
D. dn d [q(n + 1)] = Aq[n - 1] + bx[n - 1]
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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. x < 2 1 , y < 2 1
B. x > 2 1 , y > 0
C. x < 0 , y < 2
D. x < 0 , y < 2 1
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Error constants of system are a measure of
A. Steady-state response
B. Transient-state respose
C. Relative stability
D. Steady-state as well as transient resporise
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For proper working of a damper, the time constant should be
A. large
B. equal to signal time-period
C. zero
D. less than 5 times the signal time period
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