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JNTU B.Tech III CONTROL SYSTEMS Previous Question Paper (May/June - 2019 - R13)

B.Tech | III | III-I | R13 | May/June - 2019

Answer PaperPaper Code: 115ADMaximum Marks: 75Time: 3 hours

Note: This question paper contains two parts A and B. Part A is compulsory which carries 25 marks. Answer all questions in Part A. Part B consists of 5 Units. Answer any one full question from each unit. Each question carries 10 marks.

Part A

125 marks
a
What is the effect of positive feedback on stability?
2 marks

Answer

Positive feedback generally tends to decrease the stability of a system. It can lead to oscillations or even instability if the feedback gain is too high.

b
Define Transfer Function. What are the limitations of transfer function
3 marks

Answer

The Transfer Function of a system is defined as the ratio of the Laplace transform of the output to the Laplace transform of the input, assuming all initial conditions are zero.

Limitations of Transfer Function:

  • It is applicable only to Linear Time-Invariant (LTI) systems.
  • It does not account for initial conditions.
  • It does not provide information about the internal states or structure of the system.
  • It assumes that the system is causal and can be represented by a rational function.
c
Write the Mason’s gain formula.
2 marks

Answer

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d
Compare the AC and DC servomotors.
3 marks

Answer

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e
What is steady state error?
2 marks

Answer

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f
Distinguish between type and order of a system.
3 marks

Answer

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g
What is Routh stability criterion
2 marks

Answer

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h
Define angle of departure and angle of arrival in root locus
3 marks

Answer

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i
Define gain-cross over frequency and phase-cross over frequency
2 marks

Answer

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j
What are the advantages of bode plot?
3 marks

Answer

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Part B

210 marks
a
Mention the merits and demerits of an open-loop and closed-loop control systems.
5 marks

Answer

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b
Obtain the transfer function of the following system and draw its analogous electrical circuit (Figure 1).
5 marks

Answer

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OR
310 marks
a
Find the transfer function for the following system shown in figure 2.
5 marks

Answer

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b
Explain the classification of control systems.
5 marks

Answer

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410 marks
a
Explain synchro with neat sketch.
5 marks

Answer

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b
Determine the transfer function for the following block diagram shown in figure 3.
5 marks

Answer

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OR
510 marks
a
Explain the properties of signal flow graphs.
5 marks

Answer

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b
Derive the transfer function of an a.c. servomotor and draw its characteristics.
5 marks

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610 marks
a
Consider the unit step response of a unity feedback control system whose OLTF is
G(s)= 1 / s(s+1)
. Obtain the rise time, peak time, maximum overshoot and settling time.
5 marks

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b
For a first order system, find out the output of the system when the input applied to the system is unit ramp input? Sketch the r(t) and c(t).
5 marks

Answer

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OR
710 marks
a
Find the Error coefficients for step, ramp and parabolic inputs for unity feed-back System having the forward transfer function
G(s) = 14(s+3) / s(s^2+2s+2)(s+5)
.
5 marks

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b
Find out the output of the critically damped second order system when the input applied to the system is unit step input.
5 marks

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810 marks
a
The open loop transfer function of a control system is given by
G(s)H(s)= k / s(s+6)(s^2+4s+13)
determine i) The breakaway points ii) The angle of departure from complex poles iii) The stability condition
5 marks

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b
How many roots of the following polynomial are in the right half, left half of s-plane and on the jω axis.
P(s)=s^5+2s^4+2s^3+4s^2+s+2 = 0
.
5 marks

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OR
9
Draw the root locus for the unity feedback system whose open loop transfer function is
G(s) = k(s+1) / (s-1)(s+2)(s+4)
find the range of k for which the system is stable.
10 marks

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1010 marks
a
What are the frequency domain specifications.
5 marks

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b
Explain the procedure for determination of transfer function from Bode plots.
5 marks

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OR
11
Sketch the Bode plots for the system
G(s) = 25 / s(1+s)(1+0.1s)
Hence find gain cross over frequency and phase cross over frequency.
10 marks

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This page contains the solved question paper with answers of CONTROL SYSTEMS from JNTU for B.Tech EEE III III-I, May/June - 2019, R13.

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