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:-
(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.
(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)