On the solvability of the regulator equations for a class of nonlinear systems

Author

Huang, Jie

Author_Institution

Dept. of Autom. & Comput.-Aided Eng., Chinese Univ. of Hong Kong, Shatin, China

Volume

48

Issue

5

fYear

2003

fDate

5/1/2003 12:00:00 AM

Firstpage

880

Lastpage

885

Abstract

Regulator equations arise in studying the output regulation problem for nonlinear systems. The solvability of the regulator equations is the necessary condition for that of the output regulation problem. It has been shown under various assumptions that the solvability of the regulator equations can be reduced to that of a center manifold equation defined by the zero dynamics of a composite system consisting of the plant and exosystem. In this paper we further show that, for a quite general class of nonlinear systems, the solvability of the regulator equations can be reduced to that of a center manifold equation if the relative degree of the composite system at the origin exists.

Keywords

MIMO systems; dynamics; eigenvalues and eigenfunctions; feedback; nonlinear systems; partial differential equations; MIMO systems; center manifold equation; composite system; dynamics; eigenvalues; feedback; nonlinear systems; output regulation; partial differential equations; solvability; Automation; Differential algebraic equations; Differential equations; Interconnected systems; Nonlinear dynamical systems; Nonlinear equations; Nonlinear systems; Partial differential equations; Regulators; Signal generators;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2003.811273

Filename

1198619