Linear Control Systems BTEE-402 4th Sem B.Tech Nov 2016 PTU Paper

Download Previous Year PTU University Question  Paper of Linear Control Systems 4th Sem BTEE-402 B.Tech EE PTU Nov 2016 Paper

B.Tech. (EE-2011 Batch)

LINEAR CONTROL SYSTEMS

Subject Code : BTEE-402          Paper ID : [ A1188]

Time : 3 Hrs.                          Max. Marks : 60

INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks each.
2. SECTION-B contains FIVE questions carrying FIVE marks each and students have to attempt any FOUR questions.
3. SECTION-C contains THREE questions carrying TEN marks each and students have to attempt any TWO questions

Linear Control Systems 4th Sem BTEE-402 B.Tech EE PTU Nov 2016 Paper

                                SECTION-A

Q1. Write Short Notes on :

a What do you mean by servo mechanism? Explain.
b Write down the analogies of electrical and mechanical systems.
c What do you mean by the term relative stability? Explain.
d Define poles and zeros of a system.
e Discuss (in brief) various test signals used for time domain analysis.
f Why sinusoidal input signal alone is used for the analysis in frequency domain?
g Define Transfer Function.
h What do you mean by steady state error? Explain.
i List the advantages of frequency domain analysis.
j What is the need of compensator? Discuss.

                                      SECTION-B

Q2. Attempt any FOUR questions.                                                                    5×4=20

2. Discuss the field control DC motor. Also find the transfer function relating angular velocity and the input voltage applied to the field winding.

3. Discuss the correlation between time and frequency domain specifications for second order systems.

4. Determine the  stability  of  the  system  whose  characteristics  equation  is  given  by   s5 + s4 + 2 s3 + 2 s2 + 11s + 10 = 0

5. Represent the following set of equations by a signal flow graph and determine the overall gain relating x5 and x1 .    x2 = 2x1 + 6x2   ; x3 = x2 + 7x4 ;       x4 = 5x3 + 3x5;      x5 = 3x4 + 8x2

6. Sketch the Bode plot for the open loop transfer function for the unity feedback system

G(s) = 50/(s + 2)(s +1)

                                     SECTION-C

Q3. Attempt any TWO questions.                              2×10=20

 1.Discuss :a) Linear and non-linear systems

b). Open and closed loop systems

c). Time variant and time invariant systems

d) Transfer function

4. Sketch the root locus plot and determine the value of K if damping ratio is 707, for the system whose open loop transfer function is given by G(s) H(s) = K/s(s + 4)

5. Design a phase lead, compensation network having open loop transfer function given below such that the system will have acceleration error coefficient =100 sec–2 and suitable phase margin for stable operation

G(s) =K/s2 (1 + 0.05s)

Servo mechanism.Explain.

Analogies of electrical and mechanical systems.

Explain the term relative stability

Poles and zeros of a system.

Various test signals used for time domain analysis.

Explain Why sinusoidal input signal alone is used for the analysis in frequency domain.

Transfer Function.

Advantages of frequency domain analysis.

Linear Control Systems 4th Sem BTEE-402 B.Tech PTU NOV  Paper 

Field control DC motor. 

Transfer function relating angular velocity and the input voltage applied to the field winding.

 

Correlation between time and frequency domain specifications for second order systems.

 

Stability  of  the  system  whose  characteristics  equation  is  given  by   s5 + s4 + 2 s3 + 2 s2 + 11s + 10 = 0

 

Following set of equations by a signal flow graph and determine the overall gain relating x5 and x1 .    x2 = 2x1 + 6x2   ; x3 = x2 + 7x4 ;       x4 = 5x3 + 3x5;      x5 = 3x4 + 8x2

 

Bode plot for the open loop transfer function for the unity feedback system

G(s) = 50/(s + 2)(s +1)

Linear Control Systems 4th Sem BTEE-402 B.Tech PTU NOV 2016 Paper 

Linear Control Systems 4th Sem BTEE-402 B.Tech EE PTU NOV 2016 Paper

a) Linear and non-linear systems

 

b) Open and closed loop systems

 

c) Time variant and time invariant systems

 

d) Transfer function

 

Root locus plot and determine the value of K if damping ratio is 707, for the system whose open loop transfer function is given by G(s) H(s) = K/s(s + 4)

 

Phase lead, compensation network having open loop transfer function given below such that the system will have acceleration error coefficient =100 sec–2 and suitable phase margin for stable operation

G(s) =K/s2 (1 + 0.05s)

Linear Control Systems 4th Sem BTEE-402 B.Tech PTU Nov 2016 Paper 
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