GTU Electronics and Communication Engineering (Semester 4)
Control System Engineering
December 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) Differentiate Open loop & closed loop control system. Explain its merits &merits & demerits with example.
7 M
1 (b) Derive transfer function for an armature controlled DC Motor.
7 M

2 (a) Explain significance of 'Time Constant' for first order and second order system with example.
7 M
2 (b) Find the transfer function Figure 1 using Mason's gain formula.
IMAGE
7 M
2 (c) Determine close loop transfer function of the system shown in figure 2 using the block diagram reduction technique.
IMAGE
7 M

3 (a) Define following terms
1.State space.
2. State variable.
3. Transfer function.
4. Settling time.
5. Peak time.
6. Non touching loops.
7. Sink Node.
7 M
3 (b) Determine the stability of the following characteristics equation using the Routh Criterion.
1. D(s)=s4+s3+s2+s+3.
2. D(s)=s7+3s5+s4+s3+3s2+3s+1.
7 M
3 (c) Explain standard Test signals & derive equation for steady state error & it's coefficients.
7 M
3 (d) Explain Nyquist's stability criterion.
7 M

4 (a) Derive the transfer function of any one thermal system with neat sketch.
7 M
4 (b) Derive the transfer function of the second order control system subject to unit step input. Draw response curves for under damped, over damped and critically damped system.
7 M
4 (c) Draw the Root Locus diagram for system transfer function given by
\[G(s)H(s)=\dfrac{K}{S(S+5)(S+10)}\]
7 M
4 (d) Draw the Bode plot of the
\[G(s)=\dfrac{200(s+2)}{s(s^{2}+10s+100)}\]
7 M

5 (a) Draw and explain the polar plots of Type-0,1,2 system.
7 M
5 (b) Explain force-voltage & force to current analogy using any one example.
7 M
5 (c) Explain the advantages of state space approach over classical methods and also obtain the state variable equation with necessary block diagram and derivations.
7 M
5 (d) Define and explain following terms with respect to frequency response.
1. Gain Margin
2. Phase Margin
3. Gain cross over frequency.
4 Phase cross over frequency.
7 M



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