Skip to Main content Skip to Navigation
Conference papers

A new integral boundary control for de Saint-Venant Partial Differential Equations

Abstract : The paper deals with output feedback regulation of exponentially stable systems by an integral controller. We have recently proposed an appropriate Lyapunov functional to prove exponential stability of the closed-loop system. The approach is dedicated in this paper to hyperbolic systems and especially to the de Saint-Venant equations giving explicitly the gains to ensure an exponentially stabilized integral controller: the parameters expression is deduced directly of the Lyapunov functional based on the Forwarding approach. Numerical simulations illustrate this approach.
Complete list of metadatas

Cited literature [25 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-02880656
Contributor : Valérie dos Santos Martins <>
Submitted on : Monday, July 6, 2020 - 3:59:36 PM
Last modification on : Tuesday, July 7, 2020 - 3:35:27 AM
Long-term archiving on: : Wednesday, September 23, 2020 - 9:05:08 PM

File

MTNS2020_VDSM.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-02880656, version 1

Collections

Citation

Valérie dos Santos Martins, C.-Z Xu, V Andrieu. A new integral boundary control for de Saint-Venant Partial Differential Equations. MTNS 2020, Aug 2020, Cambridge, United Kingdom. ⟨hal-02880656⟩

Share

Metrics

Record views

32

Files downloads

72