文章基本信息

标题：A multi-model approach to Saint-Venant equations: A stability study by LMIs
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作者：Valérie Dos Santos Martins ; Mickael Rodrigues ; Mamadou Diagne 等
期刊名称：International Journal of Applied Mathematics and Computer Science
电子版ISSN：2083-8492
出版年度：2012
卷号：22
期号：3
DOI：10.2478/v10006-012-0041-6
出版社：De Gruyter Open
摘要：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
关键词：Saint-Venant equation; multi-model; LMIs; infinite dimensional system; exponential stability; strongly continuous semigroup; internal model boundary control