Generating series for nonlinear cascade and feedback systems

Author

Gray, W. Steven ; Li, Yaqin

Author_Institution

Dept. of Electr. & Comput. Eng., Old Dominion Univ., Norfolk, VA, USA

Volume

3

fYear

2002

fDate

10-13 Dec. 2002

Firstpage

2720

Abstract

Given two analytic nonlinear input-output systems represented as Fliess operators, four system interconnections are considered in a unified setting: the parallel connection, product connection, cascade connection and feedback connection. In each case, the corresponding generating series is produced, when one exists, and conditions for convergence of the corresponding Fliess operator are given. In the process, an existing notion of a composition product for formal power series is generalized to the multivariable setting, and its set of known properties is expanded. In addition, the notion of a feedback product for formal power series is introduced and characterized.

Keywords

feedback; multivariable control systems; nonlinear systems; series (mathematics); Fliess operators; cascade connection; feedback connection; feedback product; feedback systems; formal power series; generating series; multivariable setting; nonlinear cascade systems; nonlinear input-output systems; product connection; Convergence; Feedback;

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.2002.1184252

Filename

1184252