Anna University Coimbatore 2010 B.E Electrical and Electronics Engineering Control systems - Question Paper
ANNA UNIVERSITY COIMBATORE
B.E/B.TECH. DEGREE EXAMINATIONS:MAY/JUNE 2010
REGULATIONS:2008
FOURTH SEMESTER
080280033-CONTROL SYSTEMS
(COMMON TO EEE/EIE/ICE)
TIME: three Hours Max.Marks:100
PART-A
(20*2=40 MARKS)
1. Distinguish ranging from open loop and closed loop system.
2. What is the effect of positive feedback on stability?
3. What is synchro pair?
4. Write the transfer function of PI,PD and PID controllers.
5. Define damping ratio.
6. The closed loop transfer function of a 2nd order system is provided by 200/s2+20s+200.
Determine the damping ratio and natural frequency of oscillation.
7. describe settling time.
8. The damping ratio of a system is 0.75 and the natural frequency of oscillation is
12 rad/sec. Determine the peak overshoot and the peak time.
9. describe gain margin.
10. describe corner frequency.
11. provide the significance of polar plot in finding frequency response.
12. describe minimum and non minimum phase system.
13. What will be the nature of impulse response if the roots of characteristic formula are
lying on right half s-plane?
14. What is breakaway and breakin point? how to determine them?
15. How will you obtain root locus on real axis?
16. elaborate asymptotes? How will you obtain the angle of asymptotes?
17. The damping ratio of system is 0.6 and natural frequency of oscillation is eight rad/sec.
Determine the rise time.
18. Write transfer function of lag-lead compensator.
19. Compare series compensator and feedback compensator.
20. Draw electrical lag-lead compensator network.
PART-B
(5*12=60 marks)
ans ANY 5 ques.
21. Using block diagram reduction technique obtain the closed loop transfer function of the
system whose block diagram is shown beneath.
22. Derive the expressions for rise time,peak time and peak overshoot.
23. Sketch the bode plot and hence obtain gain cross over frequency, phase cross over frequency, gain margin and phase margin.
G(s)=0.75(1+0.2s)/s(1+0.5s)(1+0.1s)
24. The characteristic polynomial of a system is
S7 + 9S6 + 24S5 + 24S4 + 24S3 + 24S2 + 23S + 15=0. Determine the location of roots on s-plane and hence the stability of the system.
25. discuss the procedure for finding the transfer function of lead compensation and lag
compensation.
26. obtain the overall gain of the system whose signal flow graph is shown in figure beneath.
27. The open loop transfer function of a servo system with unity feedback system is
G(s) = 10/s(0.1s+1). Evaluate the static fault constants of the system. find the steady
state fault of the system when subjected to an input provided by the polynomial
r(t)=a0 + a1t + a2/2t2.
28. a) Derive the expressions and draw the response of 1st order system for unit step input
b) Draw and discuss the response of 2nd order system for critically damped case and
when the input is unit step.
ANNA UNIVERSITY COIMBATORE
B.E/B.TECH. DEGREE EXAMINATIONS:MAY/JUNE 2010
REGULATIONS:2008
FOURTH SEMESTER
080280033-CONTROL SYSTEMS
(COMMON TO EEE/EIE/ICE)
TIME: 3 Hours Max.Marks:100
PART-A
(20*2=40 MARKS)
1. Distinguish between open loop and closed loop system.
2. What is the effect of positive feedback on stability?
3. What is synchro pair?
4. Write the transfer function of PI,PD and PID controllers.
5. Define damping ratio.
6. The closed loop transfer function of a second order system is given by 200/s2+20s+200.
Determine the damping ratio and natural frequency of oscillation.
7. Define settling time.
8. The damping ratio of a system is 0.75 and the natural frequency of oscillation is
12 rad/sec. Determine the peak overshoot and the peak time.
9. Define gain margin.
10. Define corner frequency.
11. Give the significance of polar plot in finding frequency response.
12. Define minimum and non minimum phase system.
13. What will be the nature of impulse response if the roots of characteristic equation are
lying on right half s-plane?
pg.no:1
14. What is breakaway and breakin point? how to determine them?
15. How will you find root locus on real axis?
16. What are asymptotes? How will you find the angle of asymptotes?
17. The damping ratio of system is 0.6 and natural frequency of oscillation is 8 rad/sec.
Determine the rise time.
18. Write transfer function of lag-lead compensator.
19. Compare series compensator and feedback compensator.
20. Draw electrical lag-lead compensator network.
PART-B
(5*12=60 marks)
ANSWER ANY FIVE QUESTIONS
21. Using block diagram reduction technique find the closed loop transfer function of the
system whose block diagram is shown below.
pg.no:2
22. Derive the expressions for rise time,peak time and peak overshoot.
23. Sketch the bode plot and hence find gain cross over frequency, phase cross over frequency, gain margin and phase margin.
G(s)=0.75(1+0.2s)/s(1+0.5s)(1+0.1s)
24. The characteristic polynomial of a system is
S7 + 9S6 + 24S5 + 24S4 + 24S3 + 24S2 + 23S + 15=0. Determine the location of roots on s-plane and hence the stability of the system.
25. Explain the procedure for finding the transfer function of lead compensation and lag
compensation.
26. Find the overall gain of the system whose signal flow graph is shown in figure below.
pg.no:3
27. The open loop transfer function of a servo system with unity feedback system is
G(s) = 10/s(0.1s+1). Evaluate the static error constants of the system. Obtain the steady
state error of the system when subjected to an input given by the polynomial
r(t)=a0 + a1t + a2/2t2.
28. a) Derive the expressions and draw the response of first order system for unit step input
b) Draw and explain the response of second order system for critically damped case and
when the input is unit step.
pg.no:4
| Earning: Approval pending. |
