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Delay robust state feedback stabilization of an underactuated network of two interconnected PDE systems

Abstract : We detail in this article the development of a delay-robust stabilizing state feedback control law for an underactuated network of two systems of two heterodirectional linear first-order hyperbolic Partial Differential Equations interconnected through their boundaries. Only one of the two subsystems is actuated. The proposed approach combines successive backstepping transformations which allow to rewrite the original network system as a simple neutral system with distributed delays for which the control design is easy. The proposed feedback law is finally proved to be robust to small delays in the actuation.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-02437328
Contributor : François Chaplais <>
Submitted on : Monday, January 13, 2020 - 5:04:19 PM
Last modification on : Tuesday, January 5, 2021 - 12:32:03 PM

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Jean Auriol, Florent Di Meglio, Federico Bribiesca Argomedo. Delay robust state feedback stabilization of an underactuated network of two interconnected PDE systems. 2019 IEEE ACC, Jul 2019, Philadelphia, United States. pp.593-599, ⟨10.23919/ACC.2019.8814858⟩. ⟨hal-02437328⟩

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