NEW ALGEBRO-GEOMETRIC CONDITIONS FOR THE LINEARIZATION BY INPUT-OUTPUT INJECTION

Citation
A. Glumineau et al., NEW ALGEBRO-GEOMETRIC CONDITIONS FOR THE LINEARIZATION BY INPUT-OUTPUT INJECTION, IEEE transactions on automatic control, 41(4), 1996, pp. 598-603
Citations number
34
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control","Engineering, Eletrical & Electronic
ISSN journal
00189286
Volume
41
Issue
4
Year of publication
1996
Pages
598 - 603
Database
ISI
SICI code
0018-9286(1996)41:4<598:NACFTL>2.0.ZU;2-0
Abstract
The goal of this note 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 th e 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 exten sively used throughout the paper, giving constructive conditions.