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QUESTION: 1

The compensator **Gc(s) =5(1+0.3s)/(1+0.1s) **would provide a maximum phase shift of

Solution:

Maximum phase shift sin^{-1} [(1-α)/(1+α)]

and

sin^{-1 }[1/2] = 30°.

QUESTION: 2

The system with the open -loop transfer function is

Solution:

QUESTION: 3

The transfer function G(s) of a PID controller is

Solution:

**Correct Answer :- A**

**Explanation : **Simulation of a closed-loop system with proportional control. The process transfer function is P(s) = 1/(s + 1)^{3}.

QUESTION: 4

The industrial controller having the best steady - state accuracy is

Solution:

QUESTION: 5

consider the following statements :

1. The effect of feedback is to reduce the system error

2. Feedback increases the gain of the system in one frequency range but decreases in another.

3. Feedback can cause a system that is originally stable to become unstable

Which of these statements are correct ?

Solution:

QUESTION: 6

The intersection of asymptotes of root -loci of a system with open loop transfer function is

Solution:

QUESTION: 7

The open-loop transfer function of unity feedback control system is The system is stable is

0 < K < a/b (a+b)

Solution:

QUESTION: 8

Which one of the following characteristic equations of result in the stable operation of the feedback system ?

Solution:

QUESTION: 9

Consider the following statements: Routh-Hurwitz critierion gives

1. aboslute stability

2. the number of roots lying on the right half of the s-plane

3. the gainmargin and phase margin

Which of these statements are correct ?

Solution:

**Correct Answer :-B(I and II)**

**Explanation : **Routh-Hurwitz criterion gives absolute stability and number of roots lying on the right half of the s-plane.

QUESTION: 10

Consider the following statements: A proportional plus derivative controller

1. has high sensitivity

2. increases the stability of the system

3. improves the steady-state accuracy

Which of these statements are correct ?

Solution:

QUESTION: 11

Open loop transfer function of a system having one zero with a positive real value is called

Solution:

QUESTION: 12

The given characteristic polynomial s^{4} + s^{3} + 2s* ^{2}* + 2s + 3 =0 has

Solution:

QUESTION: 13

A control system has Root locus of the system can lie on the real axis

Solution:

QUESTION: 14

The forward path transfer function of a unity feedback system is given by What is the phase margin for this system ?

Solution:

QUESTION: 15

Which one of the following statement is correct ? The effects of phase lead compensator on gain crossover frequency (w_{cg}) and the bandwidth (BW) are

Solution:

QUESTION: 16

What is the unit step response of a unity feedback control system having forward path transfer function

Solution:

The open loop transfer function is first converted into the closed loop as unity feedback is used and then value of damping factor is calculated.

QUESTION: 17

An open loop system has a transfer function it is converted into a closed loop system by providing a negative feedback having transfer function 20 (s+ 1). Which one of the following is correct ? The open loop and closed loop systems are, respectively

Solution:

QUESTION: 18

With regard to the filtering property, the lead compensator and the lag compensator are, respectively.

Solution:

QUESTION: 19

For the minimum phase system to be stable:

Solution:

QUESTION: 20

For the given system, how can be steady state error produced by step disturbance be reduced ?

Solution:

QUESTION: 21

If the gain of the open loop system is doubled, the gain margin of the system is

Solution:

QUESTION: 22

Which one of the following is not a property of root loci ?

Solution:

QUESTION: 23

Match List-I (System G(s) with List-II (Nature of response) and select the correct answer using the code given below the lists:

Solution:

QUESTION: 24

Given a unity feedback system with what is the value of K for a damping ratio of 0.5 ?

Solution:

QUESTION: 25

What is the steady state error for a unity feedback control system having due to unit ramp input ?

Solution:

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