Network-based boundary observer-controller design for 1D heat equation

Rami Katz, Emilia Fridman, Anton Selivanov

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We consider boundary stabilization of a reaction-diffusion equation under the boundary measurements. We study a network-based control in the presence of two networks: from sensor to controller and from the controller to actuator. We design an observer-based control law via modal decomposition approach. The observer is governed by a PDE leading to separation of the observer and the controller design. To reduce the workload of the second network, we suggest a novel switching-based dynamic event-triggering mechanism. A numerical example illustrates the efficiency of the method.

Original languageEnglish
Title of host publication2019 IEEE 58th Conference on Decision and Control, CDC 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2151-2156
Number of pages6
ISBN (Electronic)9781728113982
DOIs
StatePublished - Dec 2019
Event58th IEEE Conference on Decision and Control, CDC 2019 - Nice, France
Duration: 11 Dec 201913 Dec 2019

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume2019-December

Conference

Conference58th IEEE Conference on Decision and Control, CDC 2019
Country/TerritoryFrance
CityNice
Period11/12/1913/12/19

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

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