1 (a)
Compare open loop and closed loop control system and give one practical example of each.

6 M

1 (b)
For the system shown in below, write mechanical network and obtain its mathematical model.

6 M

1 (c)
For the system shown in below, Write its mechanical network and obtain mathematical model and electrical analogue based on force-current analogy.

8 M

2 (a)
Define transfer function and what are its properties.

5 M

2 (b)
Obtain the transfer function for the block diagram shown in below, using block diagram reduction method.

7 M

2 (c)
For the block diagram, given in below, obtain overall transfer function using Mason's gain formula.

8 M

3 (a)
Draw the time response curve and define time domain specifications, for second order C.S. for unit step i/p.

6 M

3 (b)
A unity feedback control system is given by an open-loop transfer function, \[ G(s)= \dfrac {K}{s(s+10)} \] i) The value of K for ?=0.5

For this value of K t

For this value of K t

_{r}=? and M_{p}=? for unit step input.
6 M

3 (c)
The open loop transfer function of servo system with unity feedback is given by \[ G(s)=\dfrac {10}{s(0.ls+1)} \] Find out static error constant and obtain steady state error when subjected to an i/p of \[ r(t)=A_0+A_1t+\dfrac {A_2}{2}t^2 \]

8 M

4 (a)
Explain RH stability criterion used for finding of stability of control systems.

6 M

4 (b)
Find the range of K for the system to be stable using RH criterion \[ G(s)H(s)= \dfrac {k(1-s)}{s(s^2+5s+9)} \]

6 M

4 (c)
Investigation stability of the system given by characteristics equation

S

S

^{2}+2S^{5}+8S^{4}+12S^{3}+20S^{2}+16S+16=0.
8 M

5
A feedback control system has an open loop transfer function \[ G(s)H(s)= \dfrac {K}{s(s+3)(S^2+2s+2)} \] Draw the root locus as K varies from 0-to-?

20 M

6 (a)
Define the following terms:

i) Resonant peak

ii) Resonant frequency

iii) Band width

iv) Cut off frequency

i) Resonant peak

ii) Resonant frequency

iii) Band width

iv) Cut off frequency

4 M

6 (b)
Sketch the bode plot for the transfer function \[ \dfrac {300 (s^2+2s+4)}{s(s+10)(s+20)} \]

13 M

6 (c)
Write a note about gain margin in brief.

3 M

7 (a)
Plot the polar plot for the transfer function given \[ G(s)=\dfrac {1}{s(Ts+1)} \]

8 M

7 (b)
State Nyquist stability criterion verify stability of the system described below:

\[ G(s)H(s) = \dfrac {5}{s(1-s)} \]

\[ G(s)H(s) = \dfrac {5}{s(1-s)} \]

12 M

8 (a)
Obtain the state model for the electrical system given below. Take e

_{1}(t), e_{2}(t) as i/p variables and voltage across R as o/p variables.

8 M

8 (b)
List out the properties of STM.

5 M

8 (c)
Obtain the state transition matrix for a system matrix given by \[ A=\begin{bmatrix}0 &1 \\-2 &-3 \end{bmatrix} \]

7 M

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