MU Electronics Engineering (Semester 4)
Principles of Control Systems
December 2012
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


Answer any four of the following:-
1 (a) For the block diagram shown, find the transfer function between Y(s) and W(s).
5 M
1 (b) List the type of damping of second order system with location of poles.
5 M
1 (c) Compare time and frequency responses and explain the correlation between them.
5 M
1 (d) With an example, determine the relative stability of system using Routh stability criterion.
5 M
1 (e) Define gain margin and phase margin. Explain how to find them for magnitude v/s phase plot.
5 M

2 (a) Draw the signal flow graph of the given block diagram and obtain the closed loop transfer function using masons gain formula.
10 M
2 (b) From the given state space model, obtain the transfer function.
10 M

3 (a) Sketch the root locus of the system shown and sketch the stability.
10 M
3 (b) A unity feedback control system is characterized by open loop transfer function
Determine its Transient response for a unit step input. Evaluate Maximum overshoot and peak time.
10 M

4 (a) Sketch the bode plot for the following transfer function and determine the system gain crossover frequency, phase crossover frequency, gain margin and phase margin.
10 M
4 (b) Draw the Nyquist plot and assess the stability of closed loop system whose open loop transfer function is
10 M

5 (a) Sketch the polar plots for the following:
10 M
5 (b) A unity feedback system has
(i) Determine the steady state error if K=1.5.
(ii) Also find the minimum value of K if the steady state error ? 0.1 for a unit ramp input.
10 M

6 (a) Draw the circuit diagrams of basic lag and lead compensating networks derive the transfer function.
10 M
6 (b) Explain the principle of operation and characteristics of a two phase servo motor.
10 M

Write shorts notes on the following:-
7 (a) Synchros.
7 M
7 (b) M and N circles.
7 M
7 (c) Effect of feedback on sensitivity and stability.
7 M



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