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

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Dos Santos Martins V., Rodrigues M., Diagne M.

International Journal of Applied Mathematics and Computer Science

2012

tom 22

nr 3

539-550

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.

Ograniczanie wyników

1 International Journal of Applied Mathematics and Computer Science

1 Diagne M.

1 Dos Santos Martins V.

1 Rodrigues M.

1 2012

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