MU Feedback Control System - May 2015 Exam Question Paper

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) = \frac{1}{S (S + 2)}

$G(S) = \dfrac {1}{S(S+2)}$

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) = \frac{k (s + 5)}{s^{2} + 4 s + 20}

$G(S) \ H(S) = \dfrac {k(s+5)}{s^2+4s+20}$

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) = \frac{800 (S + 2}{S^{2} (S + 10) (S + 40)}

$G(S)= \dfrac {800 (S+2}{S^2 (S+10)(S+40)}$

10 M

4 (a) Determine the stability of following open loop transfer function using Nyquist stability.

G (s) H (s) = \frac{K (S + 3)}{S (S - 1)}

$G(s) \ H(s) = \dfrac {K(S+3)}{S(S-1)}$

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) \frac{K}{S (1 + T_{s})} .

$G(S) \dfrac {K}{S(1+T_s)} .$ For the system overshoot reduces from 0.6 and 0.2 due to change in K only. Shown that

\frac{T k_{1} - 1}{T k_{2} - 1} = 43.33

$\dfrac {Tk_1 -1}{Tk_2-1} = 43.33$ 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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