Answer any five of the following:-
1 (a)
How to find gain margin and phase margin using bode plot?
4 M
1 (b)
Compare open loop control system and closed loop control systems and give examples.
4 M
1 (c)
Compare two stability methods:-
(i) Root locus
(ii) Routh's criterion.
(i) Root locus
(ii) Routh's criterion.
4 M
1 (d)
Draw the step responses of a standard second order undamped, under damped and critically damped system. Also show pole locations of these systems.
4 M
1 (e)
Define 'Type' and 'Order' of the system. Hence determine type and order of control system with
4 M
1 (f)
Explain Hurwitz stability criterion. What are its disadvantages?
4 M
2 (a)
Find the transfer function C(s)/(R(s) using block diagram reduction technique.
10 M
2 (b)
Derive the expression for output response of standard second order under damped system.
10 M
3 (a)
Consider the following block diagram shown. Draw its equivalent signal flow graph and find its transfer function C(s)/R(s) using masons gain rule.
10 M
3 (b)
Find all the error coefficients for unity feedback systems having transfer function as
Calculate the type of system in each case.
(a)
![](data:image/png;base64,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)
(b)
Calculate the type of system in each case.
(a)
(b)
10 M
4 (a)
Using Rouths stability criterion, determine the number of roots on imaginary axis for the system
s6+4s5+3s4-16s2-64s-48=0
and comment on stability of given system.
s6+4s5+3s4-16s2-64s-48=0
and comment on stability of given system.
10 M
4 (b)
Sketch the root locus for the system having
![](data:image/png;base64,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)
Obtain the value of K when damping ratio = 0.5 from the root locus.
Obtain the value of K when damping ratio = 0.5 from the root locus.
10 M
5 (a)
Sketch the Bode plot for the system.
![](data:image/png;base64,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)
Comment on system stability.
Comment on system stability.
10 M
5 (b)
Sketch the polar plot for the system having transfer function
10 M
6 (a)
Sketch the nyquist plot for
G(s)H(s)=50/[(s+1)(s+2)]
And comment on closed loop stability of system.
G(s)H(s)=50/[(s+1)(s+2)]
And comment on closed loop stability of system.
10 M
6 (b)
Derive the transfer function of armature controlled dc servomotor and obtain the resulting block diagram.
10 M
Write short notes on the following:-
7 (a)
Synchros.
7 M
7 (b)
Correlation between time domain and frequency domain specifications.
7 M
7 (c)
PI and PD controllers.
7 M
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