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)

(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

s

and comment on stability of given system.

s

^{6}+4s^{5}+3s^{4}-16s^{2}-64s-48=0and comment on stability of given system.

10 M

4 (b)
Sketch the root locus for the system having

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.

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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