GTU Electronics and Communication Engineering (Semester 4)
Control System 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 open loop and closed loop control system with suitable example & gives its advantages and disadvantages.
7 M
1 (b) Find the transfer function of Fig.1 using Mason's gain formula.
IMAGE
7 M

2 (a) Explain the advantages of state space approach over classical methods and obtain state variable equation.X=AX+BU and CX+DU Also draw the block diagram.
7 M
2 (b) Explain Rules for block diagram reduction technique.
7 M
2 (c) Write the differential equations for the mechanical system shown in Fig.2. Also obtain an analogous electrical circuit based on force-current analogy.
IMAGE
7 M

3 (a) By means of Routh criterion, determine the stability of the system described by characteristic equations.
(1) S4+2S3+8S2+4S+3=0
(2) 3S4+10S3+5S2+5S+2=0.
7 M
3 (b) Explain following terms with necessary diagrams.
(1) Delay Time (2) Rise Time (3) Peak Time
(4) Steady state error (5) Settling Time.
7 M
3 (c) Explain standard Test signals & derive equation of steady state error.
7 M
3 (d) A certain Feedback control system is described by the following transfer Function
G(s) = K / S2 (S+20) (S+30) , H(s) =1
Determine steady state error coefficients & also determine the value of K to limit the steady state error to 10 units due to input r(t) = 1+ 10t+20t2 .
7 M

4 (a) Discuss Nyquist's stability criterion.
7 M
4 (b) What are the Bode plots? With necessary diagrams explain the following terms.
(1) Gain cross over frequency
(2) Phase cross over frequency
(3) Gain Margin
(4) Phase Margin.
7 M
4 (c) Sketch the Root Locus of unity feedback control system with G(s) = K/S(S+1)(S+3) and determine the value of K for Marginal stability.
14 M

5 (a) Write a short note on thermal system , its modeling and analysis for two different inputs.
7 M
5 (b) Explain Rules for construction of Root Locus.
7 M
5 (c) What is Transfer function ? Discuss its properties, advantages & disadvantages of it
7 M
5 (d) Find Polar Plots of G(s) = 1/ (1+P 1 S) (1+P2 S)
7 M



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