Event-triggered control of Korteweg–de Vries equation under averaged measurements

Wen Kang*, Lucie Baudouin, Emilia Fridman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

This work addresses distributed event-triggered control law of 1-D nonlinear Korteweg–de Vries (KdV) equation posed on a bounded domain. Such a system, in a continuous framework, is exponentially stabilizable by a linear state feedback as a source term. Here we consider the situation where the feedback is sampled in time and piecewise averaged in space, and an event-triggering mechanism is designed to maintain stability of this infinite dimensional system. Both well-posedness of the closed-loop system and avoiding the Zeno behaviour issues are addressed. Sufficient LMI-based conditions are constructed to guarantee the regional exponential stability. Numerical examples illustrate the efficiency of the method.

Original languageEnglish
Article number109315
JournalAutomatica
Volume123
DOIs
StatePublished - Jan 2021

Funding

FundersFunder number
Beijing Science Foundation for the Excellent Youth Scholars2018000020124G067
Outstanding Chinese and Foreign Youth Exchange Program of China Association of Science and Technology
National Natural Science Foundation of China61803026
Israel Science Foundation1128/14
Centre National de la Recherche Scientifique
Ministry of Science and Technology, Israel
Fundamental Research Funds for the Central UniversitiesFRF-TP-18-032A1

    Keywords

    • Event-trigger
    • Korteweg–de Vries equation
    • LMIs

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