December 2005
Intermediate to advanced
475 pages
12h 6m
English
Content preview from Signals and Systems
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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:
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:
- All the co-efficient of the polynomial must ...
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