Nonlinear coprime factorizations and parameterization of a class of stabilizing controllers

Author

Baramov, Lubomír ; Kimura, Hidenori

Author_Institution

Dept. of Syst. Eng., Osaka Univ., Japan

Volume

2

fYear

1995

fDate

13-15 Dec 1995

Firstpage

981

Abstract

New definitions for the right, left and doubly-coprime factorizations for nonlinear, input-affine systems based on the notion of the state-to-output stability are introduced. Sufficient conditions for the existence of these factorizations as well as local state-space formulas of factors are given. Finally, these results are applied for obtaining a parameterized set of stabilizing controllers for a fairly broad class of plants, transforming the original feedback control configuration into the open loop model matching configuration and extending thus the classical Youla-Kucera parameterization to nonlinear local cases

Keywords

feedback; input-output stability; invariance; matrix algebra; nonlinear systems; state-space methods; Youla-Kucera parameterization; feedback control; nonlinear coprime factorizations; nonlinear input-affine systems; open loop model matching; stabilizing controllers; state-space; state-to-output stability; sufficient conditions; Control systems; Feedback control; Linear systems; Nonlinear control systems; Open loop systems; Physics; Scattering; Stability; Sufficient conditions; Systems engineering and theory;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1995., Proceedings of the 34th IEEE Conference on

Conference_Location

New Orleans, LA

ISSN

0191-2216

Print_ISBN

0-7803-2685-7

Type

conf

DOI

10.1109/CDC.1995.480213

Filename

480213