Parametrization of all internally stabilizing plant and controller pairs via differentially coprime kernel representations

Author

Fujimoto, Kenji ; Anderson, Brian D O ; De Bruyne, Franky

Author_Institution

Dept. of Syst. Sci., Kyoto Univ., Japan

Volume

1

Issue

6

fYear

2000

fDate

36770

Firstpage

287

Abstract

In this paper, we use the notion of a differentially coprime kernel representation to parametrize the set of all internally stabilizing nonlinear plant and controller pairs using a Youla parameter and to unify understanding of some stability concepts for nonlinear systems. The idea of a differential kernel representation allows us to clarify the relationship between three different notions of internal stability available in the literature. Furthermore the parametrization derived here is applicable to nonlinear closed-loop identification problems

Keywords

closed loop systems; identification; nonlinear control systems; stability; Youla parameter; differentially coprime kernel representation; internal stability; internally stabilizing nonlinear plant/controller pair parametrization; nonlinear closed-loop identification problems; Australia; Ear; Feedback; Informatics; Kernel; Linear systems; Marine vehicles; Nonlinear systems; Stability; Systems engineering and theory;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2000. Proceedings of the 2000

Conference_Location

Chicago, IL

ISSN

0743-1619

Print_ISBN

0-7803-5519-9

Type

conf

DOI

10.1109/ACC.2000.878873

Filename

878873