State Feedback Stabilization of the Linearized Bilayer Saint-Venant Model

Ababacar Diagne, Shuxia Tang, Mamadou Diagne, Miroslav Krstic

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

We consider the problem of stabilizing the bilayer Saint-Venant model, which is a coupled system of two rightward and two leftward convecting transport partial differential equations (PDEs). In the stability proofs, we employ a Lyapunov function in which the parameters need to be successively determined. To the best of the authors’ knowledge, this is the first time this kind of Lyapunov function is employed, and this result is the first one on the stabilization of the linearized bilayer Saint-Venant model. Numerical simulations of the bilayer Saint-Venant problem are also provided to verify the result.

Original languageEnglish
Pages (from-to)130-135
Number of pages6
JournalIFAC-PapersOnLine
Volume49
Issue number8
DOIs
StatePublished - 2016

Keywords

  • Backstepping control
  • Bilayer Saint-Venant model
  • State feedback stabilization
  • State-varying coefficients
  • coupled PDEs

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