Boundary Control of the Kuramoto-Sivashinsky Equation Under Intermittent Data Availability - Infinite Dimensional Dynamics Accéder directement au contenu
Communication Dans Un Congrès Année : 2022

Boundary Control of the Kuramoto-Sivashinsky Equation Under Intermittent Data Availability

Résumé

In this paper, two boundary controllers are proposed to stabilize the origin of the nonlinear Kuramoto-Sivashinsky equation under intermittent measurements. More precisely, the spatial domain is divided into two sub-domains. The state of the system on the first sub-domain is measured along a given interval of time, and the state on the remaining sub-domain is measured along another interval of time. Under the proposed sensing scenario, we control the considered equation by designing the value of the state at three isolated spatial points, the two extremities of the spatial domain plus one inside point. Furthermore, we impose a null value for the spatial gradient of the state at these three locations. Under such a control loop, we propose two types of controllers and we analyze the stability of the resulting closed-loop system in each case. The paper is concluded with some discussions and future works.
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Dates et versions

hal-03612769 , version 1 (18-03-2022)

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Mohamed Maghenem, Christophe Prieur, Emmanuel Witrant. Boundary Control of the Kuramoto-Sivashinsky Equation Under Intermittent Data Availability. ACC 2022 - American Control Conference, Jun 2022, Atlanta, United States. ⟨10.23919/ACC53348.2022.9867625⟩. ⟨hal-03612769⟩
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