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Conference Papers Year : 2021

Stabilization of a hyperbolic PDEs-ODE network using a recursive dynamics interconnection framework

Abstract

In this paper, we design a state-feedback law that exponentially stabilizes an underactuated network of scalar hyperbolic systems coupled at the end of the chain with a finite-dimensional system modeled by an ordinary differential equation. Our approach uses a recursive dynamics interconnection framework. More precisely, for each subsystem, we solve a stabilization problem, a tracking problem and design a statepredictor. Then, we are able to recursively design a control law that stabilizes the whole chain. Some illustrative examples complete the presentation.
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Dates and versions

hal-03185012 , version 1 (30-03-2021)

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Cite

Jean Auriol, Federico Bribiesca Argomedo, Silviu-Iulian Niculescu, Jeanne Redaud. Stabilization of a hyperbolic PDEs-ODE network using a recursive dynamics interconnection framework. ECC 2021 - European Control Conference, Jun 2021, Rotterdam (virtual), Netherlands. ⟨10.23919/ecc54610.2021.9654865⟩. ⟨hal-03185012⟩
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