Compositional Abstraction-based Synthesis for Cascade Discrete-Time Control Systems

Adnane Saoud (1, 2) , Pushpak Jagtap (3) , Majid Zamani (3) , Antoine Girard (2)

1 LSV - Laboratoire Spécification et Vérification [Cachan]
2 L2S - Laboratoire des signaux et systèmes
3 TUM - Technische Universität Munchen - Technical University Munich - Université Technique de Munich

Abstraction-based synthesis techniques are limited to systems with moderate size. Thus to contribute towards scalability of these techniques, in this paper we propose a compositional abstraction-based synthesis for cascade interconnected discrete-time control systems. Given a cascade interconnection of several components, we provide results on the compositional construction of finite abstractions based on the notion of approximate cascade composition. Then, we provide a compositional controller synthesis for cascade interconnection. Finally, we demonstrate the applicability and effectiveness of the results using a numerical example and compare it with different abstraction and controller synthesis schemes.

Mots clés: Compositional abstraction; Symbolic control; Compositional controller synthesis; Cascade composition; Discrete-time control system

Domaines: Systèmes dynamiques [math.DS]; Automatique / Robotique

Adnane Saoud, Pushpak Jagtap, Majid Zamani, Antoine Girard. Compositional Abstraction-based Synthesis for Cascade Discrete-Time Control Systems. 6th IFAC Conference on Analysis and Design of Hybrid System, ADHS 2018, 2018, Oxford, United Kingdom. ⟨10.1016/j.ifacol.2018.08.003⟩. ⟨hal-01761180⟩