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  • 标题:A multi-model approach to Saint-Venant equations: A stability study by LMIs
  • 本地全文:下载
  • 作者:Valérie Dos Santos Martins ; Mickael Rodrigues ; Mamadou Diagne
  • 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
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