Frequency-domain data-driven control design in the Loewner framework

Pauline Kergus (1, 2) , Charles Poussot-Vassal (2) , Fabrice Demourant (2) , S. Formentin (3)

1 ISAE-SUPAERO - Institut Supérieur de l'Aéronautique et de l'Espace
2 ONERA - The French Aerospace Lab [Toulouse]
3 POLIMI - Politecnico di Milano [Milan]

In this article, a direct data-driven design method, based on frequency-domain data, is proposed. The identification of the plant is skipped and the controller is designed directly from the measurements. The identification task is reported on a fixed-order controller using for the first time the Loewner approach, known for model approximation and reduction. The method is validated on two numerical examples including the control of an industrial hydroelectric generation plant, modelled by irrational equations.

Mots clés: DATA-DRIVEN CONTROL; MODEL REFERENCE CONTROL; LOEWNER INTERPOLATION

Domaines: Systèmes et contrôle [cs.SY]

Pauline Kergus, Charles Poussot-Vassal, Fabrice Demourant, S. Formentin. Frequency-domain data-driven control design in the Loewner framework. IFAC World Congress, 2017, Toulouse, France. pp.2095-2100, ⟨10.1016/j.ifacol.2017.08.531⟩. ⟨hal-01850582⟩