Anna univ IL 231 — CONTROL SYSTEMS

PART A — (10 ? 2 = 20 marks)
1. Define control system.
2. Define signal flow graph.
3. Give the uses of gyroscope.
4. What is a PID controller?
5. Give the step response of first order and second order system.
6. What is velocity error constant?
7. What is the type of the following system and why?

8. What are Bode plots?
9. What is CORNER frequency?
10. Using characteristic equation explain what is meant by stable system?
PART B — (5 ? 16 = 80 marks)
11. Determine the transfer function of the series RLC circuit given below.

12. (a) Find the Tr. fn of the mechanical system shown in fig. 1.

Or
(b) Find the transfer fn for the floating disc shown below.

K? stiffness coefficient of shaft.
13. (a) Using Mason’s gain formula determine the overall gain for the system shown below.

Or
(b) Reduce the no. of blocks into an equivalent one.

14. (a) For a second order system ? = 0.6 and W? = 5 rad/sec. Calculate rise time tr, peak time tp, maximum over shoot Mp, and settling time ts when the system is subjected to a unit step input.
Or
(b) For an unity feed back system haring an open loop transfer function.

Determine
(i) The type of the system
(ii) Kp, Kv, Ka
(iii) Steady state error for unit parabolic input.
15. (a) Find the range of K for the following system to be stable.

Or
(b) The open loop transfer function of a feedback control system is

Obtain the Nyquist plot and comment on the system stability.