Work

Sliding mode observation for a 1D wave equation with dynamic boundary conditions.

Year: 2024

Type: conference-paper

Abstract: This study focuses on employing sliding mode observer for a wave equation subject to two dynamic boundary conditions with anti-damping coefficients, a perturbation, and a control at one of the boundaries. The exponential decay rate of the tobserver’s trajectory is demonstrated using the multiplier method. The well-posedness of the error-system is proven using maximal monotone operator.

Source: Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes

DOI: 10.1109/cdc56724.2024.10886753

Authors: Yacine Chitour, Abdelhakim Dahmani, Moussa Labbadi, Christophe Roman

Institutions: Centre National de la Recherche Scientifique, Université Paris-Saclay, Laboratoire des signaux et systèmes, CentraleSupélec, Hochschule Aalen, Aix-Marseille Université, Laboratoire d’Informatique et Systèmes

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4402724068

FWCI: 0.689

Cites: 41

Cited by: 1

Related to: 10