Design of a PI Control using Operator Theory for the nonlinear de Saint-Venant equations: Some numerical extensionReport as inadecuate




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1 LAGEP - Laboratoire d-automatique et de génie des procédés

Abstract : — This paper considers the control design of a nonlinear distributed parameter system in infinite dimension, described by the hyperbolic Partial Differential Equations PDEs of de Saint-Venant. The nonlinear system dynamic is formulated by a Multi-Models approach over a wide operating range, where each local model is defined around a set of operating regimes. A Proportional Integral PI feedback was designed and performed through Bilinear Operator Inequality BOI and Linear Operator Inequality LOI techniques for infinite dimensional systems. The authors propose in this paper to improve the numerical part by introducing weight µi not only equal to {0,1}, but µi ∈ 0, 1.

Keywords : EDP de Saint-Venant PI Control LMI approach Stability





Author: Valérie Dos Santos Martins - Mickael Rodrigues -

Source: https://hal.archives-ouvertes.fr/



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