Optimal Field Reconstruction of Distributed Process Systems from Partial Measurements

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• 作者：Mí ; riam R. Garcí ; a ; Carlos Vilas ; Julio R. Banga ; Antonio A. Alonso
• 刊名：Industrial & Engineering Chemistry Research
• 出版年：2007
• 出版时间：January 17, 2007
• 年：2007
• 卷：46
• 期：2
• 页码：530 - 539
• 全文大小：349K
• 年卷期：v.46,no.2(January 17, 2007)
• ISSN：1520-5045

文摘

In this article, we develop a systematic approach for efficient field reconstruction in distributed process systemsfrom a limited number of measurements. The approach generalizes previous methods for sensor placementso as to be able to handle field reconstruction problems in arbitrary spatial domains where complex nonlinearphenomena take place. Pattern formation in fluid dynamics or diffusion-reaction systems are examples exhibitingcomplex nonlinear distributed behaviors, especially when taking place in arbitrary 2D or 3D domains. Ourapproach exploits the dissipative nature of the diffusion-convection process and the underlying algebraicstructure of the finite element method to efficiently construct field representations in terms of globally definedbasis functions and to optimally select the placement of sensors. The results will be illustrated on a fluiddynamic process: the Rayleigh-Bénard problem.