Module 3 : Appendix

Stability Analysis of Discrete Time Systems

 

 

Lecture Note 1

Exercises:

1) Given the characteristic equation of a system as P(z) = z4 + 1.12z3 - 0.75z2 - 0.1z + 0.8 = 0. Check the stability of the system by usign Jury's stability test.

2)  Consider the system shown in Figure 1. Find out the range of K for which the system is stable. Use Jury's stability criterion.

 

 

Lecture Note 2

Exercises:

1)  Given the characteristic equation of a system as P (z) = z4 – 0.8z3 – 1.6z2 + 1.2z + 1.2 = 0. Check the stability of the system by using bilinear transformation and Routh stability criterion.

 

2) Consider the system shown in Figure 2. Find out the range of K for which the system is stable.

Use bilinear transformation and Routh stability criterion.