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

• Autorzy: Dos Santos Martins V. , Rodrigues M. , Diagne M.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

PL

równanie Saint-Venanta; system nieskończenie wymiarowy; stabilność wykładnicza

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2012
• Tom: Vol. 22, no. 3
• Strony: 539--550
• Opis fizyczny: Bibliogr. 40 poz., rys., tab., wykr.

Twórcy

autor

Dos Santos Martins V.

autor

Rodrigues M.

autor

Diagne M.

• Automatic and Process Control Laboratory (LAGEP), University of Lyon 1, CNRS, UMR 5007, Villeurbanne F-69622, France,

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