Answer any

**four**of the following:-
1 (a)
For the block diagram shown, find the transfer function between Y(s) and W(s).

5 M

1 (b)
List the type of damping of second order system with location of poles.

5 M

1 (c)
Compare time and frequency responses and explain the correlation between them.

5 M

1 (d)
With an example, determine the relative stability of system using Routh stability criterion.

5 M

1 (e)
Define gain margin and phase margin. Explain how to find them for magnitude v/s phase plot.

5 M

2 (a)
Draw the signal flow graph of the given block diagram and obtain the closed loop transfer function using masons gain formula.

10 M

2 (b)
From the given state space model, obtain the transfer function.

10 M

3 (a)
Sketch the root locus of the system shown and sketch the stability.

10 M

3 (b)
A unity feedback control system is characterized by open loop transfer function

Determine its Transient response for a unit step input. Evaluate Maximum overshoot and peak time.

Determine its Transient response for a unit step input. Evaluate Maximum overshoot and peak time.

10 M

4 (a)
Sketch the bode plot for the following transfer function and determine the system gain crossover frequency, phase crossover frequency, gain margin and phase margin.

10 M

4 (b)
Draw the Nyquist plot and assess the stability of closed loop system whose open loop transfer function is

10 M

5 (a)
Sketch the polar plots for the following:

10 M

5 (b)
A unity feedback system has

(i) Determine the steady state error if K=1.5.

(ii) Also find the minimum value of K if the steady state error ? 0.1 for a unit ramp input.

(i) Determine the steady state error if K=1.5.

(ii) Also find the minimum value of K if the steady state error ? 0.1 for a unit ramp input.

10 M

6 (a)
Draw the circuit diagrams of basic lag and lead compensating networks derive the transfer function.

10 M

6 (b)
Explain the principle of operation and characteristics of a two phase servo motor.

10 M

Write shorts notes on the following:-

7 (a)
Synchros.

7 M

7 (b)
M and N circles.

7 M

7 (c)
Effect of feedback on sensitivity and stability.

7 M

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