1 (a)
Distinguish between open-loop and closed loop systems with examples.

5 M

1 (b)
Explain the requirements of a control system.

5 M

1 (c)
Explain following controller. State its characteristics:

i) Proportional plus derivative control action

ii) Proportional plus integral plus derivative control action.

i) Proportional plus derivative control action

ii) Proportional plus integral plus derivative control action.

10 M

2 (a)
Write the equilibrium equations for the mechanical system shown in Fig Q2(a), hence obtain the F-I analogous system.

10 M

2 (b)
Obtain the transfer function of field controlled DC motor.

10 M

3 (a)
Reduce the block diagram and obtain its transfer function \[ \dfrac {C(s)}{R(s)} \]

10 M

3 (b)
Find \[ \dfrac {C(s)} {R(s)} \] by Mason's gain formula.

10 M

4 (a)
Obtain an expression for time response of the first order system subjected to unit step input.

8 M

4 (b)
Determine the damping ratio and natural frequency for the system whose maximum overshoot response is 0.2 and peak time is 1 sec. Find rise time and settling time.

6 M

4 (c)
State whether the system is stable or unstable s

^{6}+2s^{5}+8s^{4}+12^{3}+20s^{2}+16s+16=0 using Routh's stability criterion.
6 M

5 (a)
Sketch the polar plot of TF \[ G(s)H(s)= \dfrac {1}{(1+5s)(1+10s)} \]

6 M

5 (b)
Sketch the Nyquist plot for a system, whose transfer function, \[ G(s) H(s)= \dfrac {K}{s(s+4)(s+8)} \] Determine the range of values of K for which the system in stable.

14 M

6
For a system \[ G(s)H(s)= \dfrac {242(s+5)} {s(s+1)(s^2+5s+121)} \] sketch the Bode plot. Find ω

_{pc}and ω_{gc}GM, PM. Comment on stability.
20 M

7
For a unity feedback system, \[ G(s) H(s)= \dfrac {K}{s(s+4)(s+2)} \] sketch the rough nature of the root locus, showing all details on it.

20 M

8 (a)
What is compensation? How are compensators classified?

6 M

8 (b)
Write notes on:

i) Lead compensator

ii) Lag compensator

i) Lead compensator

ii) Lag compensator

8 M

8 (c)
A system is governed by the differential equation \[ \dfrac {d^3y}{dt^3}+ 6 \dfrac {d^2y}{dt^2}+ 11 \dfrac {dy}{dt}+10 =8u(t) \] where y is the output and u is the input of the system. Obtain a state space representation of the system.

6 M

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