GTU Mechanical Engineering (Semester 5)
Control Engineering
December 2016
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(10) In a 4/3 Direction control valve 4 stands for____ and 3 stands for ___?
1 M
1(11) What does FRL stands for in a Pneumatic system.
1 M
1(12) Define: Selfloop
1 M
1(13) What is root locus?
1 M
1(14) Define Reference input with example.
1 M
1(2) Nolinear elements are sometimes intentionally introduced to a control system to improve its performance (True/False).
1 M
1(3) Defien the transfer function. Why initial conditions are assumed zero?
1 M
1(4) Define signal flow graph.
1 M
1(5) What does the arrow on the branch of a Signal Flow Graph represent?
1 M
1(6) Define Maximum overshoot.
1 M
1(7) What is Parabolic-Function Input?
1 M
1(8) Define Routh's stability criterion.
1 M
1(9) What is Frequency Response?
1 M
1(a) Feedback is sometimes used to improve the sensitivity of a control system(True/False)
1 M

2(a) Derive the Analogous relationship between Mechanical and Electrical system based on Force-Current analogy.
3 M
2(b) Obtain the Transfer function C/R from the signal flow graph as shown in figure 1
4 M
Solve any one question.Q2(c) &Q2(d)
2(c) Obtain the overall transfer function of the system whose block diagram is as given in figure 2 using block diagram reduction technique.
7 M
2(d) Obtain Differential Equation for the mechanical system shown in figure 3.Also obtain analogus circuit using Force-Voltage analogy.
7 M

solve any one question Q.3(a,b,c) &Q4(a,b,c)
3(a) Discuss the effect of time constant on 1st order system response for unit step input.
3 M
3(b) Discuss the effect of damping on the position of closed loop poles of the 2nd order system with diagram.
4 M
3(c) In a mechanical virbratory systemm when 2N of force (step input) is applied to the sytem, the mass oscillates as shown in figure 4. Determine the values of M, B and K of the system from this response curve. The displacement is measured from equilibrium position.
7 M

4(a) Draw generalized unit step response for 2nd order system and define following: Rise time,
Delay time,
Settling time.
3 M
4(b) A close loop system is characterized by the following transfer function,
s4+5s3+4s+K=0. Determine the range of K for which the system is stable.
4 M
4(c) Draw root locus diagram for the system with transfer function, \[G(s)H(s)=\frac{K}{s\left ( s+5 \right )\left ( s+10 \right )}\]
7 M

solve any one question Q.5(a,b,c) &Q6(a,b,c)
5(a) List the basic elements of a Hydraulic circuit. Explain any one in brief.
3 M
5(b) Explain Hydraulic Integral Control and derive its transfer function.
4 M
5(c) Draw the schematic diagram of Pneumatic PI controller Explain its working and derive its transfer function.
7 M

6(a) Write the comparison between a Pneumatic system and Hydraulic system.
3 M
6(b) With the help of necessary diagram, explain Pneumatic nozzle- flapper amplifier.
4 M
6(c) Draw the schematic diagram of Hydraulic PID controller. Explain its working and derive its transfer function.
7 M

solve any one question Q.7(a,b,c) &Q8(a,b,c)
7(a) State the advantages of state-space representation over conventional control system analysis method.
3 M
7(b) Explain the following terms:
i) State
ii) State variables
iii) State-space
iv) state transition matrix.
4 M
7(c) Obtain the state space representation of system as shown in figure 5
7 M

8(a) For an RLC circuit, Derive the state model.
3 M
8(b) Discuss about gain margin and phase margin for frequency response of control system.
4 M
8(c) Differntiate between open loop and close loop control systems.
!mage
7 M



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