Geodesic
From fractal robustness to the CRONE approach
Alain Oustaloup1 ; Jocelyn Sabatier1 ; Xavier Moreau1
1 Équipe CRONE - LAP - ENSERB, Université Bordeaux I, 351, cours de la Libération - 33405 Talence cedex, France
ESAIM. Proceedings, Tome 5 (1998), pp. 177-192.

Voir la notice de l'article provenant de la source EDP Sciences

This article deals with the transposition of ''fractal robustness'' to automatic control. The considered dynamic model which governs this phenomenon is a non integer order linear differential equation where the natural frequency and the damping ratio of the oscillatory mode of the solution are determined. A remarkable result is that the damping ratio is exclusively linked to the non integer order of the differential equation. This is the corner stone of the CRONE control. The dynamic behaviour of this control is described in tracking and in regulation. The robustness of the damping ratio and of the resonance ratio is demonstrated. An open loop is defined using closed loop performance specifications. A CRONE regulator is approximated by an integer order transmittance. Finally, the principle of the CRONE suspension, the synthesis method and the performance are developed.
DOI : 10.1051/proc:1998006

Alain Oustaloup 1 ; Jocelyn Sabatier 1 ; Xavier Moreau 1

1 Équipe CRONE - LAP - ENSERB, Université Bordeaux I, 351, cours de la Libération - 33405 Talence cedex, France 
@article{EP_1998_5_a14,
     author = {Alain Oustaloup and Jocelyn Sabatier and Xavier Moreau},
     title = {From fractal robustness to the {CRONE} approach},
     journal = {ESAIM. Proceedings},
     pages = {177--192},
     publisher = {mathdoc},
     volume = {5},
     year = {1998},
     doi = {10.1051/proc:1998006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:1998006/}
}
TY  - JOUR
AU  - Alain Oustaloup
AU  - Jocelyn Sabatier
AU  - Xavier Moreau
TI  - From fractal robustness to the CRONE approach
JO  - ESAIM. Proceedings
PY  - 1998
SP  - 177
EP  - 192
VL  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1051/proc:1998006/
DO  - 10.1051/proc:1998006
LA  - en
ID  - EP_1998_5_a14
ER  - 
%0 Journal Article
%A Alain Oustaloup
%A Jocelyn Sabatier
%A Xavier Moreau
%T From fractal robustness to the CRONE approach
%J ESAIM. Proceedings
%D 1998
%P 177-192
%V 5
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1051/proc:1998006/
%R 10.1051/proc:1998006
%G en
%F EP_1998_5_a14
Alain Oustaloup; Jocelyn Sabatier; Xavier Moreau. From fractal robustness to the CRONE approach. ESAIM. Proceedings, Tome 5 (1998), pp. 177-192. doi : 10.1051/proc:1998006. http://geodesic.mathdoc.fr/articles/10.1051/proc:1998006/

Cité par Sources :