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GATE 2020: Control Systems Rapid Mini Mock (App update required to attempt this test)

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Question 1

By performing cascading and/or summing/differencing operations using transfer function blocks and , one CANNOT realize a transfer function of the form

Question 2

OLTF of an unity feedback system is OLTF = k (s +4)(s -1). The centroid is

Question 3

The unit impulse response of a second order system is . The natural frequency and damping ratio of the system are respectively

Question 4

The open loop transfer function of the system is G(s) H(s) = . The root locus will intersect j axis at A, the asymptotic line intersect j at point B

The values are

Question 5

Find the transfer function of a linear system whose output is for a unit step input.

Question 6

A system is required to have a peak overshoot of 4.32% and a natural frequency of 5 rad/sec. The required location of the dominant pole is:

Question 7

Consider a system having a forcing function and characterised by the non-homogenous state equation:

Where are states of the system and ‘u’ is the unit-step input function. Find the value of the trace of state transition matrix.

Question 8

The transfer function of a compensation network is of the form ( 1+αTs)/(1+Ts). If this is phase –lag network,the value of α should be

Question 9

A closed loop servo is represented by differential equation : ; where, ‘c’ is the displacement of the outpt shaft, ‘r’ is the displacement of the input shaft and e=r-c. Find the damping ratio of the system.

Question 10

in the system, r(t) = sin

The steady state response c(t) will exhibit a resonance peak at a frequency (in rad/sec) of
[write the answer upto two decimal point]

Question 11

The open loop transfer function of a system is If the system gain K is adjusted to induce sustained oscillations, then the frequency of oscillation is ________ rad/sec.

Question 12

For a system with transfer function C(s)/R(s) = 16/(s2+4s+16), the damped frequency of oscillation will be:
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Dec 20ESE & GATE EC