Model reduction using proper orthogonal decomposition and predictive control of distributed reactor system
type: Item
instance of: scholarly article
title: Model reduction using proper orthogonal decomposition and predictive control of distributed reactor system
zbMATH Open document ID: 1263.93052
DOI: 10.1155/2013/763165
author: Alejandro Marquez
author: Jairo José Espinosa Oviedo
author: D. Odloak
published in: Journal of Control Science and Engineering
publication date: 2013-06-10T00:00:00Z
review text: Summary: This paper studies the application of Proper Orthogonal Decomposition (POD) to reduce the order of distributed reactor models with axial and radial diffusion and the implementation of Model Predictive Control (MPC) based on discrete-time Linear Time Invariant (LTI) reduced-order models. In this paper, the control objective is to keep the operation of the reactor at a desired operating condition in spite of the disturbances in the feed flow. This operating condition is determined by means of an optimization algorithm that provides the optimal temperature and concentration profiles for the system. Around these optimal profiles, the nonlinear Partial Differential Equations (PDEs), that model the reactor are linearized, and afterwards the linear PDEs are discretized in space giving as a result a high-order linear model. POD and Galerkin projection are used to derive the low-order linear model that captures the dominant dynamics of the PDEs, which are subsequently used for controller design. An MPC formulation is constructed on the basis of the low-order linear model. The proposed approach is tested through simulation, and it is shown that the results are good with regard to keep the operation of the reactor.
Mathematics Subject Classification ID: 93B10
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 93B18
Mathematics Subject Classification ID: 93B40
zbMATH DE Number: 6172163
zbMATH Keywords: proper orthogonal decomposition (POD)
zbMATH Keywords: model predictive control (MPC)
zbMATH Keywords: discrete-time models
zbMATH Keywords: nonlinear partial differential equations (PDEs)
zbMATH Keywords: low-order linear model
Wikidata QID: Q59012465
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/763165
OpenAlex ID: W2012861325
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description: scientific article; zbMATH DE number 6172163