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A direct Routh stability method for discrete system modelling

✍ Scribed by Y. Bistritz

Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
294 KB
Volume
2
Category
Article
ISSN
0167-6911

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✦ Synopsis

The Routh approximation method which has been suggested for the reduction of stable discrete time linear systems to guarantee stable models, uses the bilinear transformation.

A stability theorem in the z-plane is presented which is shown to be an equivalent of the Routh criterion.

An efficent method that avoids the bilinear transformation is presented by which the Routh disrele models are derived directly in the r-plane.

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A new methodfor the model reduction of linear discrete stable systems in Z-transfer functions is presented. First, a set of parameters is defined, whose values uniquely determine the given system. Then an always stable reduced approximant is obtained by neglecting the parameters which do not contrib