Boundary Delayed Observer-Controller Design for Reaction-Diffusion Systems

• 成果类型: Article
• 署名作者: Katz, Rami; Fridman, Emilia; Selivanov, Anton
• 署名单位: Tel Aviv University; University of Sheffield
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2020.2973803
• 发表日期: 2021
• 页码: 275-282
• 关键词: Delays; observers; Eigenvalues and eigenfunctions; Boundary conditions; actuators; switches; Heating systems; parabolic PDEs; observer-based control; modal decomposition; delay; event-triggered control

摘要

We consider delayed boundary stabilization of a one-dimensional reaction-diffusion equation under boundary delayed measurements. We design an observer-based control law via the modal decomposition approach. The observer is governed by a partial differential equation, which leads to separation of the observer and the controller design. We suggest a network-based implementation of the controller in the presence of two networks: from sensor to controller, and from the controller to actuator. To reduce the workload of the second network, we suggest a novel switching-based dynamic event-triggering mechanism. We extend the results to the vector case and illustrate their efficiency by a numerical example.