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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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https://hal-centralesupelec.archives-ouvertes.fr/hal-03185012
Contributor : Jeanne Redaud <>
Submitted on : Tuesday, March 30, 2021 - 9:20:07 AM
Last modification on : Friday, April 30, 2021 - 10:04:22 AM

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  • HAL Id : hal-03185012, version 1

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

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