O'Reilly logo

Signals and Systems by Smarajit Ghosh

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

8.2 ROUTH-HURWITZ CRITERION

It determines the poles of a characteristic equation with respect to the left and right half of the s-plane without solving the equation. The transfer function of any closed loop system is given by:

 

image

 

In Eq. (8.1) a and b are constants. To find the poles of this closed loop system put

 

b0sn + b1sn − 1 + … + bn = 0     (8.2)

 

The roots of this characteristic equation represent the closed loop poles. The stability of the system depends on these poles.

The necessary but not sufficient conditions for the system having no roots in right half of s-plane are given below:

  1. All the co-efficient of the polynomial must ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required