πŸ“Š Control System Engineering
Q. From the following graphs of the generalized transfer function 1/as2, which plot shows the transfer function for a higher a?
  • (A) blue
  • (B) red
  • (C) yellow
  • (D) purple
πŸ’¬ Discuss
βœ… Correct Answer: (D) purple

Explanation: the impulse response of the given transfer function is a ramp function of slope 1/a. if a increases, the slope decreases. hence, from the above figure, purple is the correct one.

πŸ“Š Control System Engineering
Q. If the damping factor is less than the damping factor at critical damping, the time response of the system is
  • (A) underdamped
  • (B) overdamped
  • (C) marginally damped
  • (D) unstable
πŸ’¬ Discuss
βœ… Correct Answer: (A) underdamped

Explanation: if the damping factor is less than the damping factor at critical damping

πŸ“Š Control System Engineering
Q. This makes the system underdamped since the response of the system becomes a decaying sinusoid in nature.
  • (A) 9/(s2+2s+9)
  • (B) 16/(s2+2s+16)
  • (C) 25/(s2+2s+25)
  • (D) 36/(s2+2s+36)
πŸ’¬ Discuss
βœ… Correct Answer: (D) 36/(s2+2s+36)

Explanation: comparing the characteristic equation with the standard equation the value of the damping factor is calculated and the value for the option d is minimum hence the system will have the maximum overshoot .

πŸ“Š Control System Engineering
Q. The system in originally critically damped if the gain is doubled the system will be :
  • (A) remains same
  • (B) overdamped
  • (C) under damped
  • (D) undamped
πŸ’¬ Discuss
βœ… Correct Answer: (C) under damped

Explanation: hence due to this g lies between 0 and 1.

πŸ“Š Control System Engineering
Q. Let c(t) be the unit step response of a system with transfer function K(s+a)/(s+K). If c(0+) = 2 and c(∞) = 10, then the values of a and K are respectively.
  • (A) 2 and 10
  • (B) -2 and 10
  • (C) 10 and 2
  • (D) 2 and -10
πŸ’¬ Discuss
βœ… Correct Answer: (C) 10 and 2

Explanation: applying initial value theorem which state that the initial value of the system is at time t =0 and this is used to find the value of k and final value theorem to find the value of a.

πŸ“Š Control System Engineering
Q. The damping ratio and peak overshoot are measures of:
  • (A) relative stability
  • (B) speed of response
  • (C) steady state error
  • (D) absolute stability
πŸ’¬ Discuss
βœ… Correct Answer: (B) speed of response

Explanation: speed of response is the speed at which the response takes the final value and this is determined by damping factor which reduces the oscillations and peak overshoot as the peak is less then the speed of response will be more.

πŸ“Š Control System Engineering
Q. A system has a complex conjugate root pair of multiplicity two or more in its characteristic equation. The impulse response of the system will be:
  • (A) a sinusoidal oscillation which decays exponentially; the system is therefore stable
  • (B) a sinusoidal oscillation with a time multiplier ; the system is therefore unstable
  • (C) a sinusoidal oscillation which rises exponentially ; the system is therefore unstable
  • (D) a dc term harmonic oscillation the system therefore becomes limiting stable
πŸ’¬ Discuss
βœ… Correct Answer: (C) a sinusoidal oscillation which rises exponentially ; the system is therefore unstable

Explanation: poles are the roots of the denominator of the transfer function and on imaginary axis makes the system stable but multiple poles makes the system unstable.

πŸ“Š Control System Engineering
Q. The step response of the system is c(t) = 10+8e-t-4/8e-2t . The gain in time constant form of transfer function will be:
  • (A) -7
  • (B) 7
  • (C) 7.5
  • (D) -7.5
πŸ’¬ Discuss
βœ… Correct Answer: (D) -7.5

Explanation: differentiating the equation and getting the impulse response and then taking the inverse laplace transform and converting the form into time constant form we get k =

πŸ“Š Control System Engineering
Q. The steady state error for a unity feedback system for the input r(t) = Rt^2/2 to the system G(s) = K(s+2)/s(s3+7s2+12s) is
  • (A) 0
  • (B) 6r/k
  • (C)
  • (D) 3r/k
πŸ’¬ Discuss
βœ… Correct Answer: (B) 6r/k

Explanation: ka = 2k/12 = k/6

πŸ“Š Control System Engineering
Q. Find the velocity error constant of the system given below :
  • (A) 0
  • (B) 2
  • (C) 4
  • (D)
πŸ’¬ Discuss
βœ… Correct Answer: (C) 4

Explanation: comparing with the characteristic equation the values of g and w are calculated as g = 1 and w = 4 and hence the system is critically damped.

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