GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER-V (NEW) EXAMINATION - SUMMER 2019
Subject Code: 2150909 Date: 06/06/2019
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Subject Name: Control System EngineeringTime: 02:30 PM TO 05:00 PM Total Marks: 70
Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
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Q.1 Explain transfer function and write its advantages and disadvantages. [03]
Q.1 Give difference between open loop and close loop control system [04]
Q.1 Define the following terms. [07]
(1)control system (2) plants (3)process (4)disturbance (5)controller (6)output (7)input
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Q.2 Explain in brief mass son’s gain formula [03]
Q.2 Explain any two properties of Laplace transform [04]
Q.2 Obtain the overall transfer function of the system whose block diagram is given in following Figure-1 using block diagram reduction technique [07]
OR
Obtain the transfer function C/R from the signal flow graph shown in Figure-2
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Q.3 State the advantages of frequency response method. [03]
Q.3 Consider characteristic equation of closed loop control system as S4+3KS2+(K+2)S+4=0 [04]
Find range of K Using R-H criterion so that system is stable.
Q.3 Write the governing differential equations of the mechanical system shown in Figure-3 .Write analogous electrical equations based on Force-voltage analogy. Draw the corresponding circuit diagram. [07]
OR
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Explain standard test signals used in the control system.Q.4 Derive steady state error constants of the Type-0 system for a Ramp input [03]
Q.4 Derive the transfer function of armature controlled D.C. motor [04]
Q.4 State and explain nyquist stability criteria [07]
Q.5 Give comparisons between block diagram and signal flow graph in brief. [03]
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Q.5 Draw the root locus plot for a system having open loop transfer function G(s)H(s) = K/s(s+1)(s+3) [04]
Determine gain margin for K=6
Q.5 Define: rise time, peak over shoot and settling time [07]
OR
Explain about the time constant of first order system.
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Explain Type 0, Type 1 and Type 2 control system. Derive equation for the steady state error of the Type 2 control system for step, ramp and parabolic input. [03]
Write short note on PID controller. [04]
What are the special cases of Routh’s criterion? Explain in brief? [07]
For a unity feedback system i whose open loop transfer function is G(S)=K/s(s+10).determine the gain K, so that the system will have a damping ratio of 0.5.for the value of K ,determine settling time, peak overshoot and time to peak overshoot for a unit step input. [07]
OR
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Q.5 (a) Define: Phase margin and Gain margin [03]
Q.5 (b) State the advantages of bode plot. [04]
Q.5 (c) For the given electrical system shown in the Figure-4. Determine (i) transfer function model(2)state variable model [07]
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