Backstepping stabilization of the linearized Saint-Venant-Exner Model: Part II- output feedback

Ababacar Diagne, Mamadou Diagne, Shuxia Tang, Miroslav Krstic

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

We consider a coupled Saint-Venant-Exner (SVE) model introduced in a companion paper. This studied model describes the water dynamics in a sediment-filled canal with arbitrary values of canal bottom slope, friction, porosity, and water-sediment interaction under subcritical or supercritical flow regime. It consists of two rightward and one leftward convecting transport Partial Differential Equations (PDEs). A single boundary input control (with actuation located only at downstream) strategy is adopted and the backstepping approach developed for the first order linear hyperbolic PDEs is used. A full state feedback exponentially stabilizing controller is designed in the companion paper. In this paper, we first design an exponentially convergent Luenberger observer. Then, based on the full state controller and reconstruction of the distributed state from the observer, we achieve output feedback exponential stabilization of the model.

Original languageEnglish
Title of host publication54rd IEEE Conference on Decision and Control,CDC 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1248-1253
Number of pages6
ISBN (Electronic)9781479978861
DOIs
StatePublished - Feb 8 2015
Event54th IEEE Conference on Decision and Control, CDC 2015 - Osaka, Japan
Duration: Dec 15 2015Dec 18 2015

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume54rd IEEE Conference on Decision and Control,CDC 2015
ISSN (Print)0743-1546

Conference

Conference54th IEEE Conference on Decision and Control, CDC 2015
CountryJapan
CityOsaka
Period12/15/1512/18/15

Fingerprint Dive into the research topics of 'Backstepping stabilization of the linearized Saint-Venant-Exner Model: Part II- output feedback'. Together they form a unique fingerprint.

Cite this