Control Systems - Study Mode

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[#231] A first order instrument is characterised by

(A) Time constant only

(B) Static sensitivity and time constant

(C) Static sensitivity only

(D) Damping coefficient and static sensitivity

Correct Answer

(B) Static sensitivity and time constant

[#232] Two identical first order systems have been cascaded non-interactively. The unit step response of the system will be

(A) Over-damped

(B) Under-damped

(C) Undamped

(D) Critically damped

Correct Answer

(D) Critically damped

[#233] The block diagram of a system is illustrated in the figure shown, where X(s) is the input Y(s) is the output. The transfer function $$Hleft( s
ight) = frac{{Yleft( s
ight)}}{{Xleft( s
ight)}}$$ xa0 is

(A) $$Hleft( s ight) = frac{{{s^2} + 1}}{{2{s^2} + 1}}$$

(B) $$Hleft( s ight) = frac{{{s^2} + 1}}{{{s^3} + 2{s^2} + s + 1}}$$

(C) $$Hleft( s ight) = frac{{s + 1}}{{{s^2} + s + 1}}$$

(D) $$Hleft( s ight) = frac{{{s^2} + 1}}{{{s^3} + {s^2} + s + 1}}$$

Correct Answer

(B) $$Hleft( s ight) = frac{{{s^2} + 1}}{{{s^3} + 2{s^2} + s + 1}}$$

[#234] What is the unit step response of a unity feedback control system having forward path transfer function $$Gleft( s
ight) = frac{{80}}{{sleft( {s + 18}
ight)}}?$$

(A) Overdamped

(B) Critically damped

(C) Underdamped

(D) Undamped oscillatory

Correct Answer

(A) Overdamped

[#235] Consider the following statements regarding time response specifications: 1. Delay time is the time required for the response to reach 10% to 90% or 5% to 95% or 0% to 100% of its final value. 2. Peak time is the time required for the response to reach the first peak overshoot. 3. Settling time is the time required for the response to reach and maintain beyond a specified tolerance band, i.e., either 3% or 5% of the initial value. Which of the above statements are not correct?

(A) 1 and 2 only

(B) 1 and 3 only

(C) 2 and 3 only

(D) 1, 2 and 3

Correct Answer

(B) 1 and 3 only