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) Differentiate between feed back and feed forward control system.
5 M
1(b) What are the basic properties of signal flow graph?
5 M
1(c) Compare Lead compensator and Lag compensator.
5 M
1(d) Explain different performance index for optimal control problems.
5 M

2(a) Obtain the transfer function of the Mechanical system:
!mage
10 M
2(b) Using the block diagram reduction Technique find the transfer function of the given system:
!mage
10 M

3(a) Obain the state variable model of the Transfer function: \[\frac{Y(s)}{U(s)}=\frac{3s+4}{s^2+5s+6}\]
10 M
3(b) Explain controllability and observability analysis of LTI system. Using example.
10 M

4(a) Sketch the root locus for given system with unity feedback.\[G(s)\frac{k\left ( s+9 \right )}{s\left ( s^2+4s+11 \right )}\]
10 M
4(b) Use the Routh stability criterion to Determine the range of 'k' for stability of unity feed back system whose open Loop transfer function is \[G(s)=\frac{k}{s\left ( s+1\right )\left ( s+2 \right )}\]
10 M

5(a) Sketch the polar plot for the open loop-transfer function given by\[G(s)=\frac{1}{s^2\left ( 1+s\right )\left ( 1+2s \right )}\]
10 M
5(b) Sketch the Bode plot for the following Transfer function: \[G(s)=\frac{75\left ( 1+0.2s \right )}{s\left ( s^2+16s+100 \right )}\]
10 M

6(a) Explain the frequency domain specifications.
7 M
6(b) Explain the concept of Neuro-Fuzzy adaptive control system.
6 M
6(c) Write short note on: Steady state errors in feed back control system and their types.
7 M



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