GTU Mechanical Engineering (Semester 6)
Control Engineering
June 2014
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) Explain the open-loop operation of traffic signals at a road crossing. How can improved traffic control be achieved by means of a closed-loop scheme? What are the advantages and disadvantages of open loop and closed loop systems?
7 M
1 (b) Write the differential equations governing the mechanical system. Derive transfer function of x1(s)/F(s).

7 M

2 (a) Derive a transfer function for a liquid level system. Explain resistance and capacitance of any liquid level system.
7 M
Answer any two question from Q2 (a), (b) or Q2 (c)
2 (b) Obtain transfer functions C(s)/R(s) of the system as shown in figure. State the initial step before obtaining the transfer function.

7 M
2 (c) Determine the transfer function C(s)/R(s) for the system shown in figure using Mason's gain formula.

7 M

Answer any two question from Q3 (a), (b) or Q3 (c), (d)
3 (a) Draw a schematic diagram & block diagram for a hydraulic proportional plus derivative control system. Derive expression for transfer function for above mentioned hydraulic PD control systems. Explain how this can be converted to PID controller.
7 M
3 (b) What is FRL unit in pneumatic system? Write about pneumatic power sources. State various components used in pneumatic circuit.
7 M
3 (c) Compare between hydraulic and pneumatic control systems.
7 M
3 (d) Describe the working of a force distance type pneumatic proportional controller and its transfer function.
7 M

Answer any two question from Q4 (a), (b) or Q4 (c), (d)
4 (a) Sketch the root locus plot of the system with \[ G(s) = \dfrac {K} {s(s+1)(s+2)}, \ \ H(s)=1 \]
7 M
4 (b) Explain unit step response of first order linear time invariant systems.
7 M
4 (c) Using the Routh-Hurwitz criterion for simple design problems, consider that the characteristic equation of a closed-loop control system is
s3+3Ks2+(K+2)s+4=0
Determine the desired range of K so that the system is stable.
7 M
4 (d) Explain following terms in regard to transient response specification of second order control system using neat sketch.
- Delay time td
- Rise time tr
- Peak time tp
- Maximum overshoot Mp
- Settling time ts.
7 M

Answer any two question from Q5 (a), (b) or Q5 (c) (d)
5 (a) State applications of fuzzy control. Explain following terms, - Fuzzification
- Fuzzy sets
- Fuzzy membership functions
7 M
5 (b) Explain boiler feed control system using neat sketch.
7 M
5 (c) Draw equivalent mechanical and electrical systems to relate force voltage or force current analogy.
7 M
5 (d) What do you mean by micro-processor based digital control. What is PLC? State its industrial applications.
7 M



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