Convergent systems and the output regulation problem

Author

Pavlov, A. ; van de Wouw, N. ; Nijmeijer, H.

Author_Institution

Dept. of Mech. Eng., Eindhoven Univ. of Technol., Netherlands

Volume

3

fYear

2002

fDate

10-13 Dec. 2002

Firstpage

2681

Abstract

The notion of convergent systems is revisited from a control perspective. Sufficient conditions for a system to be convergent in a set are given. It is shown that a nonlinear system with an asymptotically stable linearization at the origin is convergent in some neighborhood of the origin. These results are applied to the output regulation problem. Based on the convergence property, a procedure for estimating the set of admissible initial conditions for a solution to the local output regulation problem is presented. An application of the procedure is illustrated by an example.

Keywords

asymptotic stability; convergence; linearisation techniques; matrix algebra; nonlinear control systems; set theory; admissible initial conditions; asymptotically stable linearization; convergent systems; local output regulation problem; nonlinear system; output regulation problem; sufficient conditions; Control systems; Control theory; Convergence; Jacobian matrices; Linear systems; Mechanical engineering; Nonlinear systems; Sufficient conditions; Symmetric matrices; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2002, Proceedings of the 41st IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-7516-5

Type

conf

DOI

10.1109/CDC.2002.1184244

Filename

1184244