GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER- V (New) EXAMINATION - WINTER 2019
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Subject Code: 2150909 Date: 25/11/2019
Subject Name: Control System Engineering
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
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MARKS
Q.1 (a) With a suitable example explain automatic control system 03
(b) What is Laplace transform ? Explain the advantages of Laplace transform. 04
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(c) Find out the transfer function for the block diagram shown in the Fig. 1 07
Q.2 (a) With suitable example, Explain self loop, sink node and forward path 03
(b) Derive steady state error for a type 1 system with parabolic input. 04
(c) For the mechanical system shown in Fig 2 write down F-I analogy and 07 draw equivalent electric network
OR
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(c) For the mechanical system shown in Fig 3 write down F-V analogy and 07 draw equivalent electric network
Q.3 (a) Define: State variable, state vector and state space 03
(b) Assuming zero initial conditions derive the transfer function for the 04 system described by the standard state variable model.
(c) Obtain the state model of series RLC circuit, considering voltage across 07 capacitor as the output.
OR
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Q.3 (a) Write down the standard form of state variable model and mention the size 03 of each matrix in the model for a system having n number of states, m number of inputs and p number of outputs
(b) Write down state model of the system described by following differential 04 equation
2dy 4dy 6dY g, _10u()
dt dt dt
(c) Find transfer function of the system described by following state model 07
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Xl =5 1| x 2 X,
= + ), y=[1 2
J
X, X, X,
Q.4 (a) Draw only the magnitude plot of the bode plot for 03
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G(s)H(s)=(1+)
2
(b) Using routh’s criterion check stability of a unity gain feedback system 04
3
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G(s)H(s)=
(S)H(s) =5 512
OR
Q.4 (a) Draw only the magnitude plot of the bode plot for 03
1
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G(s)H(s) =
s
1+—
P
(b) Using routh’s criterion check stability of a unity gain feedback system 04
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with
1
G(s)=———
(S+2)(S+4)
(c) Draw the root locus plot for 07
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k
GOH(S) = o
S(S+5)(S+10)
Q.5 (a) List at least three advantages and three disadvantages of a lead 03 compensator
(b) Draw and explain the pole zero plot and bode plot of a lead compensator. 04
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(c) Explain in detail the steps to design a lead compensator 07
OR
Q.5 (a) List at least three advantages and three disadvantages of a lag compensator 03
(b) Draw and explain the pole zero plot and bode plot of a lag compensator. 04
(c) Explain in detain the steps to design a lag compensator 07
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