MU Electronics Engineering (Semester 4)
Principles of Control Systems
May 2013
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) Obtain the transfer function of the lag network given in the figure below.
5 M
1 (b) Explain how to find gain margin and phase margin from polar plot.
5 M
1 (c) Compare time response analysis with frequency response analysis.
5 M
1 (d) Explain various rules for block diagram reduction method to find out the transfer function.
5 M

2 (a) Find the total transfer function C/R using block diagram reduction technique for the figure below.
10 M
2 (b) For a unity feedback control system the forward path transfer function is given by

Determine the steady state error of the system when the inputs are:-
(i) 5
(ii) 5t
(iii) 3t2/2
10 M

3 (a) The characteristic equation for a certain feedback control system are given below. Determine the range of values of k for the system to be stable.
(i) s4+20ks3+5s2+10s+15=0
(ii) s3+2ks2+(K+2)s+4=0
10 M
3 (b) Sketch the complete root locus for the system having open loop transfer function
10 M

4 (a) A unity feedback system has open loop transfer function

Draw the bode plot and determine the gain margin and phase margin and state whether the system is stable or not?
10 M
4 (b) Sketch the polar plot and discuss the stability of the system represented by
10 M

5 (a) Derive the value of Kp ,Kv and Kpa for type 0, type 1 and type 2 system.
5 M
5 (b) Show the location of poles of second order control system for various values of damping ratio.
5 M
5 (c) A unity feedback system has open loop transfer function:

Using Nyquist stability criterion check whether the closed loop system is stable.If system is stable find gain margin and phase margin.
10 M

6 (a) Draw the diagram of basic lead and lag networks and derive their respective transfer functions.
10 M
6 (b) Explain different composite continuous controllers.
10 M

Write shorts notes on the following:-
7 (a) Masons gain formula and its application.
5 M
7 (b) Stepper motor.
5 M
7 (c) Effect of adding a zero to second order system.
5 M
7 (d) Synchro transmitter-receivers.
5 M



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