Stability margins and model-free control: A first look

Michel Fliess (1, 2) , Cédric Join (3, 2, 4)

1 LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau]
2 AL.I.E.N. - ALgèbre pour Identification & Estimation Numériques
3 NON-A - Non-Asymptotic estimation for online systems
4 CRAN - Centre de Recherche en Automatique de Nancy

We show that the open-loop transfer functions and the stability margins may be defined within the recent model-free control setting. Several convincing computer experiments are presented including one which studies the robustness with respect to delays.

Mots clés: Nonlinear systems; Phase margins; Delay systems; Gain margins; Model-free control; Linear systems; Intelligent PID controllers; Stability margins

Domaines: Automatique; Optimisation et contrôle [math.OC]; Automatique / Robotique; Informatique ubiquitaire

Michel Fliess, Cédric Join. Stability margins and model-free control: A first look. 13th European Control Conference, ECC'14, Jun 2014, Strasbourg, France. pp.454-459, ⟨10.1109/ECC.2014.6862167⟩. ⟨hal-00966107⟩