FILTRATIONS IN FEEDBACK SYNTHESIS - PART I - SYSTEMS AND FEEDBACKS

Authors
DELALEAU E DASILVA PSP
Citation
E. Delaleau et Psp. Dasilva, FILTRATIONS IN FEEDBACK SYNTHESIS - PART I - SYSTEMS AND FEEDBACKS, Forum mathematicum, 10(2), 1998, pp. 147-174
Citations number
70
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Forum mathematicum → ACNP
ISSN journal
09337741
Volume
10
Issue
2
Year of publication
1998
Pages
147 - 174
Database
ISI
SICI code
0933-7741(1998)10:2<147:FIFS-P>2.0.ZU;2-R
Abstract
This paper presents an intrinsic differential algebraic framework for considering feedback in nonlinear control systems. In particular, filt rations of differential field extensions are shown to be useful for th e definition of state feedback and the interpretation of two algorithm s, namely the Structure Algorithm and the Dynamic Extension Algorithm, well-known in the context of control theory. This differential algebr aic approach allows defining quasi-static state feedback.