GTU Mechanical Engineering (Semester 6)
Control Engineering
May 2015
Total marks: --
Total time: --
INSTRUCTIONS
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary


1 (a) What do you understand by Transient and steady state response and hence discuss the various types of input test signals used for time response analysis of a control system.
7 M
1 (b) Define transfer function of a linear time invariant control system and hence discuss its properties. Also discuss the role of Laplace Transforms in system analysis.
7 M

2 (a) With the help of suitable examples discuss open loop and closed loop control system.
7 M
Answer any two question from Q2 (b) or Q2 (c)
2 (b) Consider a first order system as shown in Figure below. for a unit step input to the system, determine the output for one time period in the transient zone.

7 M
2 (c) Define the various terms used for specifying the transient-response of a control system Explain them on the response curve of any one type of test signal.
7 M

Answer any two question from Q3 (a), (b) or Q3 (c), (d)
3 (a) What is meant by signal flow graph? Define the various terminologies associated and hence discuss the Mason's gain formula to determine the overall gain.
7 M
3 (b) Describe force-voltage analogy and force- current analogy as applied to electrical analogies for mechanical systems.
7 M
3 (c) Determine the transfer function X1/X2 for the physical system shown in figure 1 below.
7 M
3 (d) With the help of fundamental differential equations draw the basic block diagram and hence derive the transfer function for a Armature controlled DC motor.
7 M

Answer any two question from Q4 (a), (b) or Q4 (c), (d)
4 (a) For a unity feed back system the open loop transfer function is given as follows. Sketch root locus for 0
10 M
4 (b) Define stability of a control system?
4 M
4 (c) Determine the stability of a closed loop control system with characteristic equation s5+s4+2s3+11s+10=0.
7 M
4 (d) With the help of a neat sketch explain the working of a pneumatic nozzle flapper amplifier and hence determine its transfer function.
7 M

Answer any two question from Q5 (a), (b) or Q5 (c), (d)
5 (a) Compare and contrast pneumatic system with hydraulic system.
7 M
5 (b) Write a short note on Programmed logic controller and discuss its application to any engineering system.
7 M
5 (c) With the help of a neat sketch explain the working of a Automatic controller and discuss the various terminology used
7 M
5 (d) With the help of a sketch explain a pneumatic proportional plus integral controller and derive its transfer function.

7 M



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