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Explicit model predictive control through robust optimization

Pappas Iosif, Diangelakis Nikolaos, Pistikopoulos Stratos

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URIhttp://purl.tuc.gr/dl/dias/7E883FC5-F99D-40A3-AA63-998594436597-
Identifierhttps://doi.org/10.1002/aic.18172-
Identifierhttps://aiche.onlinelibrary.wiley.com/doi/10.1002/aic.18172-
Languageen-
Extent10 pagesen
TitleExplicit model predictive control through robust optimizationen
CreatorPappas Iosifen
CreatorDiangelakis Nikolaosen
CreatorΔιαγγελακης Νικολαοςel
CreatorPistikopoulos Stratosen
PublisherWileyen
Content SummaryA strategy that calculates an explicit state feedback policy to regulate constrained uncertain discrete-time uncertain linear systems is presented. We consider uncertain processes, affected by box-bounded multiplicative uncertainty as well as bounded additive uncertainty with linear state and inputs constraints. The proposed method includes (i) the calculation of a terminal set constraint and (ii) the robust reformulation of state constraints in the prediction horizon. These features allow the derivation of the desired policy by solving a single multiparametric quadratic programming problem that guarantees feasible operation in the presence of uncertainty. Additionally, we employ variable and constraint elimination approaches to enhance the computational performance of the strategy. We demonstrate the steps and benefits of these developments with a numerical example and a chemical engineering case study.en
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by-nc-nd/4.0/en
Date of Item2025-07-29-
Date of Publication2023-
SubjectExplicit model predictive controlen
SubjectMultiparametric programmingen
SubjectOptimization under uncertaintyen
SubjectRobust optimizationen
Bibliographic CitationI. Pappas, N. A. Diangelakis and E. N. Pistikopoulos, “Explicit model predictive control through robust optimization,” AIChE J., vol. 69, no. 10, Oct. 2023, doi: 10.1002/aic.18172.en

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