Exact linearization of discrete-time nonlinear systems using state space transformation

Author

Jayaraman, Gangadhar ; Chizeck, Howard J.

Author_Institution

Dept. of Syst., Control & Ind. Eng., Case Western Reserve Univ., Cleveland, OH, USA

Volume

1

fYear

1995

fDate

13-15 Dec 1995

Firstpage

619

Abstract

A set of necessary and sufficient conditions for the existence of a coordinate transformation that renders a given nonlinear system exactly state-equivalent to a linear, reachable system is presented. When it exists, the transformation can be obtained from the solution to a set of partial differential equations that represent rectification conditions for a set of commuting vector fields that are defined for the nonlinear system

Keywords

discrete time systems; nonlinear control systems; partial differential equations; state-space methods; commuting vector fields; coordinate transformation; discrete-time nonlinear systems; exact linearization; necessary and sufficient conditions; partial differential equations; rectification conditions; state space transformation; Control systems; Feedback; Industrial engineering; Nonlinear control systems; Nonlinear systems; Partial differential equations; State-space methods; Sufficient conditions; Vectors;

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.1995.478981

Filename

478981