Creator:

Martins, Valérie Santos dos ; Rodrigues, Mickael ; Diagne, Mamadou

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Title:

A multi-model approach to Saint-Venant equations: a stability study by LMIs

Group publication title:

AMCS, Volume 22 (2012)

Subject and Keywords:

Saint-Venant equation ; multi-model ; LMIs ; infinite dimensional system ; exponential stability ; strongly ontinuous semigroup ; internal model boundary control

Abstract:

This paper deals with the stability study of the nonlinear Saint-Venant Partial Differential Equation (PDE). The proposed approach is based on the multi-model concept which takes into account some Linear Time Invariant (LTI) models defined around a set of operating points. ; This method allows describing the dynamics of this nonlinear system in an infinite dimensional space over a wide operating range. A stability analysis of the nonlinear Saint-Venant PDE is proposed both by using Linear Matrix Inequalities (LMIs) and an Internal Model Boundary Control (IMBC) structure. The method is applied both in simulations and real experiments through a microchannel, illustrating thus the theoretical results developed in the paper.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2012

Resource Type:

artykuł

DOI:

10.2478/v10006-012-0041-6

Pages:

539-550

Source:

AMCS, Volume 22, Number 3 (2012) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego