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One Shot Marathon Series Test - Control Systems

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Question 1

Open loop DC gain for closed loop transfer function having unity feedback is _____. The closed loop transfer function is given as .

Question 2Multiple Correct Options

DC gain of a transfer function of a system is:

Question 3

Find the value of the transfer function of the signal flow graph (SFG) given below. (Round off to two decimal point).

Question 4

A first order system is shown in below figure. The time response to a unit step input is

Question 5

What is the unit step response of second order system under critically damped condition?

Question 6

An under damped second order system has damping factor 0.The maximum voltage that the system can achieve when subject to 5 u(t) is ______V.

Question 7Multiple Correct Options

The transfer function of a unity feedback (type-1) second order system has a pole at (s = – 1). The steady state error (ess) and velocity error constant (kv) will be

(Assumer gain (k = 1) and input is unit ramp)

Question 8

Which of the following statements is/are correct about Routh Hurwitz criterion-

1. It given number of roots in the right half of s-plane

2. It tells as the exact location of roots.

Question 9Multiple Correct Options

Consider that in a system loop transfer function, addition of a pole results in the following.

Which of the above are correct?

Question 10

The closed loop frequency response |M(jω)| versus frequency of a second order prototype system is shown in figure.

Find the rise time of the system.

Question 11

The open loop transfer function of a unity feedback system is

The gain margin of the system is dB is

Question 12

The phase margin of a system with the open loop transfer function  is

Question 13

The phase and magnitude v/s frequency plot shown below for OLTF (approximate)

G(s) H(B)

Find the phase angle error and magnitude error (a) = (0.5)a?


Question 14

The network for a lag compensator is shown below:

The transfer function of the network is

Which of the following is correct for the system?

Question 15

A controller is realized using operational amplifier. The transfer function of the controller is

The transfer function represents the

Question 16

Below figure shows the frequency Response of a lead compensator in which the lead compensator coefficient is _______

Question 17

Indicate which one of the following transfer functions represents phase lag compensator

Question 18

Which of the following is CORRECT with respect to LAG-LEAD compensator?

Question 19

Consider a system characterised by the non-homogenous state equation:

Where are states of the system, ‘u’ is the unit-step input function and the initial state is .

Let the zero-state response be given as

Then, find the value of at [Give the answer in two decimal places]

Question 20

The state variable representation of a system is given by the following equations

y =

If the given system is said to be uncontrollable the value of a should be ______

Question 21

For the following circuit, write the state equations using Vc and iL as state variables.

Question 22

Which of the following is/are the valid property of state transition matrix ?

(i)

(ii)

(iii)

(iv)  (Identity matrix)

Question 23

Consider the system

The conditions for completer state controllability and complete observability are,

Question 24

If open loop T.F. of UFB control system is , the value of gain 'K’ for the damping ratio to be 0.707, by taking dominating pole is ______?

Question 25

Find the transfer function of the closed -loop system as shown in figure ……………….. [up to two decimal point]

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Jan 10ESE & GATE EE