Event-triggered control of Korteweg-de Vries equation under averaged measurements - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2020

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

Résumé

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. A numerical example illustrates the efficiency of the method.
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Dates et versions

hal-02459827 , version 1 (29-01-2020)
hal-02459827 , version 2 (25-09-2020)

Identifiants

  • HAL Id : hal-02459827 , version 1

Citer

Wen Kang, Lucie Baudouin, Emilia Fridman. Event-triggered control of Korteweg-de Vries equation under averaged measurements. 2020. ⟨hal-02459827v1⟩
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