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Total Questions : 604 | Page 55 of 61 pages
Question 541. 0.  The state transition matrix for the system X = AX with initial state X(0) is
  1.    (sl - A)-1
  2.    eAt X(0)
  3.    Laplace inverse of [(s1)] -
  4.    Laplace inverse of [(sI - A)' x(o)]
 Discuss Question
Answer: Option C. -> Laplace inverse of [(s1)] -
Question 542. 1.  For the system X = [o,5,0]which of the following statements is true?
  1.    The system is controllable but unstable
  2.    The system is uncontrollable and unstable
  3.    The system is controllable and stable
  4.    The system is uncontrollable and stable
 Discuss Question
Answer: Option B. -> The system is uncontrollable and unstable
Question 543. 3.  A second order system starts with an initial condition of without any external input. The state transition matrix for the system is given by [e-2t 0 e-t . The state of the system at the end of 1 second is given by
  1.    [0.271] 1.100 i 02711
  2.    [0.3681[0.1351
  3.    [0.736,0.1351
  4.    1.1
 Discuss Question
Answer: Option A. -> [0.271] 1.100 i 02711
Question 544. 2.  A lead compensator used for a closed loop controller has the following transfer function For such a lead compensator
  1.    a
  2.    b
  3.    a > Kb
  4.    a
 Discuss Question
Answer: Option A. -> a
Question 545. 9.  A linear time-invariant system initially at rest, when subjected to a unit-step input, gives a response y(t) = te-t, t> 0. The transfer function of the system is.
  1.    always stable
  2.    marginally stable
  3.    unstable with one pole on the right half s-plane
  4.    unstable with two poles on the right half s-plane
 Discuss Question
Answer: Option B. -> marginally stable
Question 546. 5.  For a given stepper motor, the following torque has the highest numerical value.
  1.    Detent torque
  2.    Pull-in torque
  3.    Pull-out torque
  4.    Holding torque
 Discuss Question
Answer: Option C. -> Pull-out torque
Question 547. 4.  The loop gain GH of a closed loop system is given by the following expression s(s + 2) (s + 4) The value of K for which the system just becomes unstable is
  1.    K = 6
  2.    K = 8
  3.    K = 48
  4.    K = 96
 Discuss Question
Answer: Option C. -> K = 48
Question 548. 8.  A unity feedback system, having an open loop gain G(s) H(s) - K(1 - s) , becomes (1 + s) stable when
  1.    IKI > 1
  2.    K > 1
  3.    IKI < 1
  4.    K < -1
 Discuss Question
Answer: Option C. -> IKI < 1
Question 549. 7.  For a tachometer if 0(t) is the rotor displacement is radians, e(t) is the output voltage and Kt is the tachometer constant in V/rad/sec, then the transfer E(s)function, will be 0(s)K,
  1.    Kts2
  2.    Ks
  3.    Kt
 Discuss Question
Answer: Option C. -> Ks
Question 550. 0.  The response of a system by -T + i =v. dtli the excitation is v = ke2t, then the forced response of i for t> 0 will be HAS 20001 k,
  1.    ?3 e'
  2.    5? e-t
  3.    ?5 e-
  4.    ? sint + ?5 cost
 Discuss Question
Answer: Option C. -> ?5 e-

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