Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Summer 5th Sem New 2150909 Control System Engineering Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?V (NEW) EXAMINATION ? SUMMER 2019
Subject Code: 2150909 Date: 06/06/2019
Subject Name: Control System Engineering
Time: 02:30 PM TO 05:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
MARKS
Q.1 (a) Explain transfer function and write its advantages and dis advantages. 03
(b) Give difference between open loop and close loop control system 04
(c) Define the following terms.
(1)control system(2) plants (3)process(4)disturbance(5)controller (6)output (7)input
07
Q.2 (a) Explain in brief mass son?s gain formula
03
(b) Explain any two properties of Laplace transform 04
(c) Obtain the overall transfer function of the system whose block diagram is given in following
Figure-1 using block diagram reduction technique
07
OR
(c) Obtain the transfer function C/R from the signal flow graph shown in Figure-2 07
Q.3 (a) State the advantages of frequency response method. 03
(b) Consider characteristic equation of closed loop control system as S
3
+3KS
2
+(K+2)S+4=0
Find range of K Using R-H criterion so that system is stable.
04
(c) 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
Q.3 (a) Explain standard test signals used in the control system. 03
(b) Derive steady state error constants of the Type-0 system for a Ramp input 04
(c) Derive the transfer function of armature controlled D.C. motor 07
Q.4 (a) State and explain nyquist stability criteria 03
(b) Give comparisons between block diagram and signal flow graph in brief. 04
(c) Draw the root locus plot for a system having open loop transfer function
G(s)H(s) = K/s(s+1)(s+3)
Determine gain margin for K=6
07
OR
Q.4 (a) Define: rise time, peak over shoot and settling time 03
(b) Explain about the time constant of first order system. 04
(c)
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.
07
Q.5 (a) Write short note on PID controller. 03
(b) What are the special cases of Routh?s criterion? Explain in brief?
04
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?V (NEW) EXAMINATION ? SUMMER 2019
Subject Code: 2150909 Date: 06/06/2019
Subject Name: Control System Engineering
Time: 02:30 PM TO 05:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
MARKS
Q.1 (a) Explain transfer function and write its advantages and dis advantages. 03
(b) Give difference between open loop and close loop control system 04
(c) Define the following terms.
(1)control system(2) plants (3)process(4)disturbance(5)controller (6)output (7)input
07
Q.2 (a) Explain in brief mass son?s gain formula
03
(b) Explain any two properties of Laplace transform 04
(c) Obtain the overall transfer function of the system whose block diagram is given in following
Figure-1 using block diagram reduction technique
07
OR
(c) Obtain the transfer function C/R from the signal flow graph shown in Figure-2 07
Q.3 (a) State the advantages of frequency response method. 03
(b) Consider characteristic equation of closed loop control system as S
3
+3KS
2
+(K+2)S+4=0
Find range of K Using R-H criterion so that system is stable.
04
(c) 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
Q.3 (a) Explain standard test signals used in the control system. 03
(b) Derive steady state error constants of the Type-0 system for a Ramp input 04
(c) Derive the transfer function of armature controlled D.C. motor 07
Q.4 (a) State and explain nyquist stability criteria 03
(b) Give comparisons between block diagram and signal flow graph in brief. 04
(c) Draw the root locus plot for a system having open loop transfer function
G(s)H(s) = K/s(s+1)(s+3)
Determine gain margin for K=6
07
OR
Q.4 (a) Define: rise time, peak over shoot and settling time 03
(b) Explain about the time constant of first order system. 04
(c)
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.
07
Q.5 (a) Write short note on PID controller. 03
(b) What are the special cases of Routh?s criterion? Explain in brief?
04
2
(c) A unity feedback system is characterized by an open loop transfer function
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
Q.5 (a) Define: Phase margin and Gain margin 03
(b) State the advantages of bode plot. 04
(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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This post was last modified on 20 February 2020