Title :
On the approximation to dynamic systems
Author :
Esquivel, Jeslis A.
Author_Institution :
Fac. de Ingenieria Mecanica y Electr., Univ. Autonoma de Coahuila, Mexico
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;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.832878
