MU Instrumentation Engineering (Semester 4)
Feedback Control System
May 2015
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


Attempt any four:
1 (a) Compare between open loop and closed loop system.
5 M
1 (b) Derive the transfer function of simple closed loop system.
5 M
1 (c) Explain relative stability analysis.
5 M
1 (d) Sketch the nature of polar plot asymtotically for the open loop transfer function: \[ G(S) = \dfrac {1}{S(S+2)} \]
5 M
1 (e) Derive the steady state error.
5 M

2 (a) Sketch the complete root locus for the following system having. \[ G(S) \ H(S) = \dfrac {k(s+5)}{s^2+4s+20} \]
10 M
2 (b) Derive the unit step response of second order underdamped system.
10 M

3 (a) Sketch the signal flow graph, of following block diagram. By using Mason's Gain formula find the transfer function of it.

10 M
3 (b) Draw a bode diagram of open loop transfer function G(S). Determine GM, PM, Wgc, Wpc. \[ G(S)= \dfrac {800 (S+2}{S^2 (S+10)(S+40)} \]
10 M

4 (a) Determine the stability of following open loop transfer function using Nyquist stability. \[ G(s) \ H(s) = \dfrac {K(S+3)}{S(S-1)} \]
10 M
4 (b) Draw the analogous electrical network based on (a) F-V (b) F-I.

10 M

5 (a) The open loop transfer function of unity feed back system is \( G(S) \dfrac {K}{S(1+T_s)} .\) For the system overshoot reduces from 0.6 and 0.2 due to change in K only. Shown that \(\dfrac {Tk_1 -1}{Tk_2-1} = 43.33\) where K1 and K2 are value of K for 0.6 to 0.2.
10 M
5 (b) Use a block diagram reduction rules to obtain the transfer function of the block diagram shown below.

10 M

6 (d) What are the advantages and features of transfer function.
5 M
Solve the following:
6 (a) For a system with characteristics equation,
F(S)=S6+3S5+4S4+6S3+5S2+3S+2=0.
examine stability.
5 M
6 (b) Write the short note on standard signals.
5 M
6 (c) Find the transfer function of following:

5 M



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