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Order reduction and control of hyperbolic, countercurrent distributed parameter systems using method of characteristics
Sridharakumar Narasimhan,
Published in Elsevier Ltd
2014
Volume: 110
   
Pages: 153 - 163
Abstract
The aim of this paper is to develop a model reduction technique based on method of characteristics (MOC) for control of counter-current distributed parameter systems that are modeled by semi-linear hyperbolic partial differential equations (PDEs). In our previous work, MOC was shown to be a suitable model reduction technique for a class of hyperbolic PDEs. This concept is extended to counter-current systems, wherein the so-called characteristic lines have slopes with opposite signs. Two different approximations are proposed that allow the use of MOC as a model reduction technique. The open-loop results from MOC are compared with a large dimensional model, based on the method of lines. The MOC-based models are used for closed loop simulations within the approximate dynamic programming (ADP) framework. Two case studies are considered: a non-adiabatic plug flow reactor (having characteristics with two different slopes) and a non-adiabatic fixed bed reactor (having characteristics with three different slopes). We demonstrate that using the MOC-based model in an ADP controller results in a significant improvement in computational time, along with a slight improvement in controller performance. © 2013 Elsevier Ltd.
About the journal
JournalData powered by TypesetChemical Engineering Science
PublisherData powered by TypesetElsevier Ltd
ISSN00092509
Open AccessNo
Concepts (10)
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    Computer simulation
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    Controllers
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    Intelligent control
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    Approximate dynamic programming
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    COUNTER CURRENT
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    Distributed parameter systems
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    HYPERBOLIC PDES
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    Method of characteristics
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    Model order reduction
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    Partial differential equations