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GATE 2021-Control Systems Practice test

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1. If the initial conditions for a system are inherently zero, what does it physically mean?
(A) The system is at rest but stores energy

(B) The system is working but does not store energy

(C) The system is at rest or no energy is stored in any of its parts

(D) The system is working with zero reference input

2. The closed loop transfer function of a unity negative feedback system is gate. Its open loop transfer function is
gate
3. A forcing function (t2 - 2t) u(t-1) is applied to a linear system. The Laplace transform of the forcing function is
gate
4.
gate
3. Basically, the transfer function is derived for an isolated circuit by assuming that the output is unloaded. In other words, the load impedance is assumed to be finite, which means that no power is being withdrawn at the output.
Of these statements,
(A) Statement 1 is true and statement 3 is correct explanation for this
(B) Statement 2 is true and statement 3 is correct explanation for this
(C) Statement 2 is False and statement 3 is correct (D) All the statements are false
5. Closed-loop transfer function of unity feedback system is given by gate. Then system Kv is
gate

6. A unit feedback system has open-loop transfer function gate . The system has
(a) damping ratio = 1/2 and natural frequency = 9 rad/s
(b) damping ratio = 1/6 and natural frequency = 3 rad/s
(c) damping ratio = 1/6 and natural frequency = 9 rad/s
(d) damping ratio = 1/2 and natural frequency = 3 rad/s

7. A servomechanism is represented by the equation gate where is the actuating signal. The value of damped frequency of oscillations in rad/s is ________

BNSS Shankar,

M.Tech (IIT K), MIE,
Expert faculty – GATE/ESE/PSUs
OHM Institute, Hyderabad
Published on 12/29/2020 6:27:00 PM

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