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Stabilization of nonlinear systems based on a generalized Bézout identity

✍ Scribed by Alfonso Baños

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
604 KB
Volume
32
Category
Article
ISSN
0005-1098

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✦ Synopsis

The relationship between the BCzout and input-output approaches to right-coprimeness is investigated. We introduce a generalized BCzout identity and analyze its relationship to right-coprimeness.

In terms of the generalized BCzout identity, a right factorization of a nonlinear plant is coprime according to the input-output definition if and only if it satisfies the generalized Bezout identity. Therefore the stability of an observer-controller configuration is a necessary and sufficient condition for a nonlinear plant to have a right coprime factorization. Finally we present generalized B6zout maps for some nonlinear plants with a state-space representation.

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