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Methodology for robust multi-parametric control in linear continuous-time systems

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Title: Methodology for robust multi-parametric control in linear continuous-time systems
Authors: Sun, M
Villanueva, M
Pistikopoulos, EN
Chachuat, B
Item Type: Journal Article
Abstract: This paper presents an extension of the recent multi-parametric (mp-)NCO-tracking methodology by Sun et al. [Comput. Chem. Eng. 92:64-77, 2016] for the design of robust multi-parametric controllers for constrained continuous-time linear systems in the presence of uncertainty. We propose a robust-counterpart formulation and solution of multi-parametric dynamic optimization (mp- DO), whereby the constraints are backed-o ff based on a worst-case propagation of the uncertainty using either interval analysis or ellipsoidal calculus and an ancillary linear state feedback. We address the case of additive uncertainty, and we discuss approaches to dealing with multiplicative uncertainty that retain tractability of the mp-NCO-tracking design problem, subject to extra conser- vativeness. In order to assist with the implementation of these controllers, we also investigate the use of data classifiers based on deep learning for approximating the critical regions in continuous-time mp-DO problems, and subsequently searching for a critical region during on-line execution. We illustrate these developments with the case studies of a fluid catalytic cracking (FCC) unit and a chemical reactor cascade.
Issue Date: 1-Jan-2019
Date of Acceptance: 5-Sep-2018
URI: http://hdl.handle.net/10044/1/64391
DOI: https://dx.doi.org/10.1016/j.jprocont.2018.09.005
ISSN: 0959-1524
Publisher: Elsevier
Start Page: 58
End Page: 74
Journal / Book Title: Journal of Process Control
Volume: 73
Copyright Statement: © 2018 The Authors. Published by Elsevier Ltd. This is an open access article under the CC-BY license. (http://creativecommons.org/licenses/by/4.0/)
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: EP/K503381/1
Keywords: 0904 Chemical Engineering
Chemical Engineering
Publication Status: Published
Online Publication Date: 2018-12-19
Appears in Collections:Faculty of Engineering
Chemical Engineering