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Permanent link (DOI): https://doi.org/10.7939/R36Q1ST32

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Optimal Control of a Tubular Reactor via Cayley-Tustin Time Discretization Open Access

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Other title
Subject/Keyword
Optimal Control
Parabolic PDEs
Cayley-Tustin Time Discretization
Algebraic Riccati Equation
Self-Adjoint Operators
Type of item
Thesis
Degree grantor
University of Alberta
Author or creator
Tajik, Peyman
Supervisor and department
Dubljevic, Stevan
Examining committee member and department
Zhao, Qing (Electrical and Computer Engineering)
Liu, Jinfeng (Chemical and Materials Engineering)
Department
Department of Chemical and Materials Engineering
Specialization
Chemical Engineering
Date accepted
2016-07-13T09:14:59Z
Graduation date
2016-06:Fall 2016
Degree
Master of Science
Degree level
Master's
Abstract
Boundary value problems involving continuous flow reactors have been considered in which tubular reactors have been modeled with an axial dispersion model. Concentration distribution in tubular reactors can have variety of consequences. It can have negative effects on the conversion and selectivity of the desired reaction. Consequently, it will affect the productivity and energy efficiency of the plant. It is therefore important to design efficient controllers that are able to track the optimal pre-defined trajectories of the operating conditions to ensure optimal operation of the reactor. The governing transport phenomena occurring in a tubular reactor is modeled by parabolic partial differential equations (PDEs). In this work, infinite dimensional optimal control of a tubular reactor is studied which is discretized exactly over time, without any discretization over space. The discrete case is derived from the continuous case and the process is shown theoretically. Numerical simulations are performed for formulated optimal controller and its performance is studied.
Language
English
DOI
doi:10.7939/R36Q1ST32
Rights
This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for the purpose of private, scholarly or scientific research. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.
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