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) What is damping ratio? Show the location of roots in s-plane for different values of damping ratio.
5 M
1 (b) From the pole-zero plot given below obtain:
(i) Transfer function.
(ii) Order of the system.
(iii) Characteristic equation.
(iv) DC gain of the system.
5 M
1 (c) Find the transfer functions from the signal flow graph given below:
5 M
1 (d) 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

2 (a) Find C using block diagram reduction rules.
10 M
2 (b) Sketch the root locus for a unity feedback control system with
G(s) = K/[s(s+3)(s+5)] and determine -
(i) K for marginal stability.
(ii) Frequency of oscillation for marginal stability.
(iii) K for damping ratio of 0.5.
10 M

3 (a) Derive the time response expression for a second order control system subjected to unit step input.
10 M
3 (b) What is stepper motor? Mention its types. Explain one type of stepper motor with neat diagrams.
10 M

4 (a) Define sensitivity of a control system. Derive the sensitivities SH and SG of a feedback control system where T is closed loop gain, H is the feedback gain and G is the open loop gain of the system.
10 M
4 (b) For the transfer function given below:
G(s)H(s) = 48(s+10)/[(s(s+20)(s2+2-4s+16)]. Find
(i) Static position error co-efficient.
(ii) Static velocity error co-efficient.
(iii) Static acceleration error co-efficient.
(iv) Steady state error if the input to the system is unit step.
10 M

5 (a) Sketch the bode plot for a system with open loop transfer function:
G(s)H(s) = 30/[s(1+0.5s)(1+0.8s)] and comment on stability.
10 M
5 (b) Find the range of k so that the following systems are stable:
(i) s4 + 7s3 + 10s2 + 2Ks + K = 0.
(ii) s3 + 3Ks2 + (K+2)s + 4 = 0.
10 M

6 (a) For the control system shown below find K1 and K2 so that Mp = 25% and Tp = 4sec.



Also find
(i) settling time
(ii) rise time.
10 M
6 (b) Find the overall transmittance using Masons gain Formula.
10 M

Write short notes on:-
7 (a) Nyquist stability criteria.
10 M
7 (b) Error compensation techniques.
10 M



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