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) Define sensitivity of a control system. How can we reduce the sensitivity of a closed loop system.
5 M
1 (b) Explain Hurwitz stability criterion and its disadvantages.
5 M
1 (c) Define the following terms related to second order system subjected to unit step input.
(i) Rise time
(ii) Peak time.
(iii) Peak overshoot
(iv) Delay time.
(v) Settling time.
5 M
1 (d) What are the advantages of a Nyquist plot.
5 M

2 (a) If the second order control system has transfer function
F(s) = s2 + 24s + 9.
If a step input is applied to it, determine time domain specifications. Also sketch time response.
10 M
2 (b) Find the range of K to make the system stable for a unity feedback system.
10 M

3 (a) Determine the transfer functions C/R1 and C/R2 from the given system below. Also find C/R.
10 M
3 (b) Find the transfer function of the following system using signal flow graph.
10 M

4 (a) Draw the root locus for the system with
G(s)H(s) = K/[s(s+3)(s+6)]. Obtain the value of K when ?=0.6 from root locus. Also determine the value of K for marginal stability and critical damping.
10 M
4 (b) For a unity feedback system: G(s) = 200/[s(s+8)] and r(t)=2t, determine steady state error. If it is desired to reduce the existing error by 5%, find new value of gain of system.
10 M

5 (a) A unity feedback system has a loop gain
G(s)H(s)=60/[(s+4)(s2+2s+5)]. Determine the system stability using Nyquist plot.
10 M
5 (b) Compare open loop control system and closed loop control system with at least 3 examples.
10 M

6 (a) Use Bode plot to determine the frequency response of system. H(s)=1 and
10 M
6 (b) A unity feedback control system has
G(s) = K/[(s+4)3]. Determine the range of K for system stability.
10 M

Write shorts notes any two of the following:-
7 (a) Stepper motor construction and its applications in control system.
10 M
7 (b) State variable model with an example.
10 M
7 (c) Error compensation techniques.
10 M



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