Total marks: --
Total time: --
INSTRUCTIONS
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary


1 (a) Compare open loop and closed loop system with suitable examples.
5 M
1 (b) Draw the step response for an under-damped second order system with damping ratio 0.2, 1, 1.2 respectively.
5 M
1 (c) The transfer function of a system is given by \( T(s)= \dfrac {k(s+6)} {s(s+2)(s+5)(s^2+7s+1^2)} \)
Determine i) Poles ii) Zeros iii) Characteristic equation
5 M
1 (d) Define Hurwitz stability criteria with its advantages and disadvantages. Give suitable example.
5 M

2 (a) Determine transfer function C(S)/R(CS) of the system shown in fig.

10 M
2 (b) Using Masons gain formula, find C(S)/R(CS) of SFG shown in fig.

10 M

3 (a) Show the pole zero location and the unit step response of the following second order control system-
i) Under-damped
ii) Over-damped
iii) Critical damped
iv) Undamped
10 M
3 (b) For the network shown in fig obtain - i) Transfer function ii) State variable model

10 M

4 (a) Write the differential equation for the mechanical system shown in fig and explain force voltage analogy.

10 M
4 (b) The open loop transfer function of a unity feedback system is given by [ G(S)=dfrac {K(s+9)}{s(s^2+4s+11)} ] Sketch the Root locus of the system.
10 M

5 (a) Sketch the polar for the open loop transfer function given by -
[ G(s) = dfrac {1}{s^2(1+s)(1+2s)} ]
10 M
5 (b) A unity feedback system has [ G(s)=dfrac {40(s+2)}{s(s+1)(s+5)} ] Determine
i) Type of system
ii) All error coefficients
iii) Error for ramp I/P with magnitude-3.
10 M

6 (a) Sketch the bode plot for the following Transfer function [ G(s)=dfrac {75(1+0.25)}{s(s^2+16s+100)} ]
10 M
6 (b) What is Adaptive Control? Explain any one adaptive control methods.
5 M
6 (c) Explain controllability and observability.
5 M



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