Question Paper: Principles of Control Systems : Question Paper May 2013 - Electronics Engineering (Semester 4) | Mumbai University (MU)
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## Principles of Control Systems - May 2013

### Electronics Engineering (Semester 4)

TOTAL MARKS: 80
TOTAL TIME: 3 HOURS
(1) Question 1 is compulsory.
(2) Attempt any three from the remaining questions.
(3) Assume data if required.
(4) Figures to the right indicate full marks.
1 (a) Obtain the transfer function of the lag network given in the figure below. (5 marks)
1 (b) Explain how to find gain margin and phase margin from polar plot.(5 marks) 1 (c) Compare time response analysis with frequency response analysis.(5 marks) 1 (d) Explain various rules for block diagram reduction method to find out the transfer function.(5 marks) 2 (a) Find the total transfer function C/R using block diagram reduction technique for the figure below. (10 marks)
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 marks)
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 marks)
3 (b) Sketch the complete root locus for the system having open loop transfer function (10 marks)
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 marks)
4 (b) Sketch the polar plot and discuss the stability of the system represented by (10 marks)
5 (a) Derive the value of Kp ,Kv and Kpa for type 0, type 1 and type 2 system.(5 marks) 5 (b) Show the location of poles of second order control system for various values of damping ratio. (5 marks) 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 marks)
6 (a) Draw the diagram of basic lead and lag networks and derive their respective transfer functions.(10 marks) 6 (b) Explain different composite continuous controllers.(10 marks)

### Write shorts notes on the following:-

7 (a) Masons gain formula and its application.(5 marks) 7 (b) Stepper motor.(5 marks) 7 (c) Effect of adding a zero to second order system.(5 marks) 7 (d) Synchro transmitter-receivers.(5 marks)

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