Autor:

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

Współtwórca:

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

Tytuł:

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

Tytuł publikacji grupowej:

AMCS, Volume 22 (2012)

Temat i słowa kluczowe:

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.

Wydawca:

Zielona Góra: Uniwersytet Zielonogórski

Data wydania:

2012

Typ zasobu:

artykuł

DOI:

10.2478/v10006-012-0041-6

Strony:

539-550

Źródło:

AMCS, Volume 22, Number 3 (2012) ; kliknij tutaj, żeby przejść

Jezyk:

eng

Licencja CC BY 4.0:

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Prawa do dysponowania publikacją:

Biblioteka Uniwersytetu Zielonogórskiego