A Multi-Models approach of Saint-Venant Equations

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.
Keywords : ACL SNLEP DYCOP
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Submitted on : Thursday, January 31, 2019 - 11:25:18 AM
Last modification on : Friday, March 29, 2019 - 10:58:27 AM

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  • HAL Id : hal-02001466, version 1

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Valerie Dos Santos Martins, Mickael Rodrigues, Mamadou Diagne. A Multi-Models approach of Saint-Venant Equations. International Journal of Applied Mathematics and Computer Science (AMCS), 2012, 22 (3), pp.539--550. 〈hal-02001466〉

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