New algebraic-geometric conditions for the linearization by input-output injection

Author

Glumineau, A. ; Moog, C.H. ; Plestan, F.

Author_Institution

Lab. d´´Autom., Nantes Univ., France

Volume

41

Issue

4

fYear

1996

fDate

4/1/1996 12:00:00 AM

Firstpage

598

Lastpage

603

Abstract

The goal of this paper is twofold. It unifies and generalizes existing results on input-output injection linearization of nonlinear systems. The problem is solved as a realization problem since it is based on the analysis of the structure of the input-output differential equation. The necessary and sufficient conditions are derived from a simplified and constructive procedure. For clarity, the paper is limited to the case of single output systems. Exterior differential systems are extensively used throughout the paper, giving constructive conditions

Keywords

computational geometry; differential equations; linearisation techniques; matrix algebra; nonlinear systems; algebraic-geometric conditions; exterior differential systems; input-output differential equation; input-output injection; linearization; necessary condition; nonlinear systems; sufficient conditions; Control nonlinearities; Control theory; Design methodology; Differential equations; Estimation error; Linear approximation; Linear feedback control systems; MIMO; Nonlinear systems; Sufficient conditions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.489283

Filename

489283