On the approximation to dynamic systems

Author

Esquivel, Jeslis A.

Author_Institution

Fac. de Ingenieria Mecanica y Electr., Univ. Autonoma de Coahuila, Mexico

Volume

1

fYear

1999

fDate

1999

Firstpage

746

Abstract

This paper presents a sufficient condition for obtaining a dynamic approximation to the normal form which can be used to obtain the same feedback linearization while its internal dynamics keep the same features of stability than those of the zero dynamics. This dynamic approximation is achieved by finding the polynomial approximations to the solution of an ordinary differential equation that solves a set of partial differential equations whose solutions in turn are used to obtain the diffeomorphism for getting the normal form

Keywords

differential equations; differential geometry; feedback; linearisation techniques; nonlinear dynamical systems; polynomial approximation; stability; diffeomorphism; differential equation; differential geometry; feedback; linearization; nonlinear dynamical systems; normal form; polynomial approximations; stability; sufficient condition; Control systems; Differential equations; Eigenvalues and eigenfunctions; Geometry; Nonlinear control systems; Partial differential equations; Polynomials; Stability; State feedback; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1999. Proceedings of the 38th IEEE Conference on

Conference_Location

Phoenix, AZ

ISSN

0191-2216

Print_ISBN

0-7803-5250-5

Type

conf

DOI

10.1109/CDC.1999.832878

Filename

832878