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

Wen Kang, Lucie Baudouin, Emilia Fridman

Research output: Contribution to journalArticlepeer-review

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

Keywords

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

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