Commande sans modèle et commande à modèle restreint

Michel Fliess (1, 2) , Cédric Join (2, 3)

1 LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau]
2 ALIEN - Algebra for Digital Identification and Estimation
3 CRAN - Centre de Recherche en Automatique de Nancy

We are introducing a model-free control and a control with a restricted model for finite-dimensional complex systems. This control design may be viewed as a contribution to ``intelligent'' PID controllers, the tuning of which becomes quite easy, even with highly nonlinear and/or time-varying systems. Our main tool is a newly developed numerical differentiator. Differential algebra provides the theoretical framework. Our approach is validated by several numerical experiments.

Mots clés: anti-windup; numerical differentiators; frictions; non-minimum phase systems; differential algebra.; differential algebra; Linear systems; nonlinear systems; model-free control; control with a restricted model; predictive control; delay systems; PID controllers; universal control; robustness; diagnosis; large-scale systems

Domaines: Automatique; Optimisation et contrôle [math.OC]; Modélisation et simulation; Ingénierie, finance et science [cs.CE]; Algèbre commutative [math.AC]; Génie mécanique [physics.class-ph]; Génie mécanique [physics.class-ph]

Michel Fliess, Cédric Join. Commande sans modèle et commande à modèle restreint. e-STA Sciences et Technologies de l’Automatique, 2008, 5 (4), pp.1-23. ⟨inria-00288107v3⟩