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Exponential Observers for Distributed Tubular (Bio)Reactors

García, Míriam R. and Vilas, Carlos and Banga, Julio R. and Alonso, Antonio A. (2008) Exponential Observers for Distributed Tubular (Bio)Reactors. AIChE Journal, 54 (11). pp. 2943-2956. ISSN 1547-5905

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Abstract

In this work, the dissipative nature of spatially distributed process systems is exploited to develop efficient exponential state observers based on a low dimensional dynamic representation of the original set of partial differential equations. The approach we suggest combines standard observer design techniques for reactors where the reaction rates are unknown with efficient model reduction methodologies based on projection of the original concentration and temperature fields on low dimensional subspaces capturing the slow dynamics of the process. The global exponential stability of the resulting observer is derived combining classical Lyapunov analysis with a transformation that allows us to obtain a diffusion system from a diffusionconvection system. In addition aspects related to the location of sensors and their influence on the ability to reconstruct the necessary fields to feed the observer will also be considered.

Item Type: Article
Additional Information: Preprint version of original published article. The definitive version of the article is available at http://onlinelibrary.wiley.com/journal/10.1002/%28ISSN%291547-5905/ DOI: 10.1002/aic.11571
Keywords: Observer; Distributed Process Systems; Tubular (Bio)Reactors; Optimal sensor location;
Subjects: Science & Engineering > Hamilton Institute
Item ID: 3626
Depositing User: Miriam Garcia
Date Deposited: 01 May 2012 15:29
Journal or Publication Title: AIChE Journal
Publisher: Wiley-Blackwell
Refereed: No
URI:

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