SRM University 2007 B.Tech Electronics and Communications Engineering UNIT VI - Question Paper

UNIT VI
PART A

1. Define BIBO system
2. What is impulse response
3. What is characteristic equation?
4. What is the necessity condition for stability?
5. What is necessary and sufficient condition for stability?
6. What is limitedly stable system?
7. What is asymptotically stable system?
8. Explain marginally stable system?
9. What is relative stability?
10. What is Routh stability criterion/
11. Explain the necessary and sufficient condition for Routh stability criterion?
12. What is root locus?
13. What is magnitude criterion?
14. What is angle criterion?
15. What are asymptotes?
16. Give expression for angle of asymptote?
17. What is centroid?
18. What is break-away and break-in points?
19. Say a method to obtain the crossing points of root locus in imaginary axis?
20. What is dominant pole?
21. Say whether the system is stable? S4+3s3+4s2+5s+10=0
22. Say whether the system is stable? S6-2s5+s3+s2+s+6=0
23. Say whether the system is stable? S3-8s2+7s+6=0
24. Say whether the system is stable? S5+4s4-5s3+4s2+2s+1=0

PART B

1. Write the necessary and sufficient condition for Routh stability criterion? discuss the construction of Routh Stability Criterion?
2. Construct Routh array and determine the stability of the system whose characteristic formula is
S6+2s5+8s4+12s3+20s2+16s+16=0
s5+s4+2s3+2s2+3s+5=0
3. Construct Routh array and determine the stability of the system whose characteristic formula is
9s5-20s4+10s3-s2-9s-10=0
S7+9S6+24s5+24s4+24s3+24s2+23s+15=0
4. Construct Routh array and determine the stability of the system whose characteristic formula is
s5+4s4+8s3+8s2+7s+4=0
S6+s5+3s4+3s3+3s2+2s+1=0

5. Determine the range of K for stability of unity feedback system whose open loop transfer function is G(s)= K/s(s+1)(s+2) and obtain the stability of system with characteristic formula s4+8s3+18s2+16s+5=0.

6. Determine the range of K for stability and ‘a’ so that the oscillates at frequency of two rad/sec of unity feedback system whose open loop transfer function is G(s)= K(s+1)/s3+as2+2s+1.

7. Determine the range of K for stability of unity feedback system whose open loop transfer function is G(s)= Ke-s/s(s2+5s+9).

8. A unity feedback system has an open loop transfer function G(s)= K/s(s2+4s+13).Sketch the root locus.

9. A unity feedback system has an open loop transfer function G(s)= K/s(s+2)(s+4).Sketch the root locus and obtain the value of K so that the damping ratio of closed loop system is 0.5.

10. A unity feedback system has an open loop transfer function G(s)= K(s+9)/s(s2+4s+11).Sketch the root locus.

11. A unity feedback system has an open loop transfer function G(s)h(s)= K/s(s+4)(s2+4s+20).Sketch the root locus.

12. A unity feedback system has an open loop transfer function G(s)= K(s+1.5)/s(s+1)(s+5).Sketch the root locus.

13. A unity feedback system has an open loop transfer function G(s)= K(s2+6s+25)/s(s+1)(s+2).Sketch the root locus.

14. A unity feedback system has an open loop transfer function G(s)= K/s(s2+6s+1).Sketch the root locus.

15. A unity feedback system has an open loop transfer function G(s)= K/s(s2+8s+20).Sketch the root locus.

Earning:   Approval pending.