Stabilization of Boundary Controlled Hyperbolic PDEs via Lyapunov-Based Event Triggered Sampling and Quantization

Nicolás Espitia (1) , Aneel Tanwani (2) , Sophie Tarbouriech (2)

1 GIPSA-SYSCO - GIPSA - Systèmes non linéaires et complexité
2 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande

With the growing utility of hyperbolic systems in modeling physical and controlled systems, this paper considers the problem of stabilization of boundary controlled hyperbolic partial differential equations where the output measurements are communicated after being time-sampled and space-quantized. Static and dynamic controllers are designed, which establish stability in different norms with respect to measurement errors using Lyapunov-based techniques. For practical purposes, stability in the presence of event-based sampling and quantization errors is analyzed. The design of sampling algorithms ensures practical stability.

Domaines: Automatique / Robotique

Nicolás Espitia, Aneel Tanwani, Sophie Tarbouriech. Stabilization of Boundary Controlled Hyperbolic PDEs via Lyapunov-Based Event Triggered Sampling and Quantization. CDC 2017 - 56th IEEE Conference on Decision and Control, Dec 2017, Melbourne, Australia. pp.3112 - 3117, ⟨10.1109/CDC.2017.8263830⟩. ⟨hal-01856311⟩