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

Jean Auriol; Federico Bribiesca Argomedo; Silviu-Iulian Niculescu; Jeanne Redaud

Conference papers

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

Jean Auriol ¹ Federico Bribiesca Argomedo ² Silviu-Iulian Niculescu ¹ Jeanne Redaud ^{1, 3}

1 L2S - Laboratoire des signaux et systèmes

2 AIS - Ampère, Département Automatique pour l'Ingénierie des Systèmes

3 DISCO - Dynamical Interconnected Systems in COmplex Environments

Inria Saclay - Ile de France, L2S - Laboratoire des signaux et systèmes

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.

Document type :

Conference papers

Domain :

Mathematics [math]

Engineering Sciences [physics]

Complete list of metadata

https://hal-centralesupelec.archives-ouvertes.fr/hal-03185012
Contributor : Jeanne Redaud Connect in order to contact the contributor
Submitted on : Tuesday, March 30, 2021 - 9:20:07 AM
Last modification on : Friday, February 4, 2022 - 3:25:27 AM

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

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

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