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:
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:
Typ zasobu:
DOI:
Strony:
Źródło:
AMCS, Volume 22, Number 3 (2012) ; kliknij tutaj, żeby przejść