From reference model selection to controller validation: Application to Loewner Data-Driven Control

Pauline Kergus (1) , Martine Olivi (2) , Charles Poussot-Vassal (1) , Fabrice Demourant (1)

1 DTIS, ONERA, Université de Toulouse [Toulouse]
2 FACTAS - Analyse fonctionnelle pour la conception et l'analyse de systèmes

The choice of a reference model in data-driven control techniques is a critical step. Indeed, it should represent the desired closed-loop performances and be achievable by the plant at the same time. In this paper, we propose a method to build such a reference model, both reproducible by the system and having a desired behaviour. It is applicable to Linear Time-Invariant (LTI) monovariable systems and relies on the estimation of the plant's instabilities through a data-driven stability analysis technique. The L-DDC (Loewner Data Driven Control) algorithm is used to illustrate the impact of the choice of the reference model on the control design process. Finally, the proposed choice of specifications allows to use a controller validation technique based on the small-gain theorem.

Mots clés: LOEWNER; INTERPOLATION METHOD; STABILITY; DATA-DRIVEN CONTROL

Domaines: Sciences de l'ingénieur [physics]; Physique [physics]

Pauline Kergus, Martine Olivi, Charles Poussot-Vassal, Fabrice Demourant. From reference model selection to controller validation: Application to Loewner Data-Driven Control. IEEE Control Systems Letters, 2019, 3 (4), pp.1008-1013. ⟨10.1109/LCSYS.2019.2920208⟩. ⟨hal-02181447⟩