Real-time feasibility of nonlinear model predictive control for semi-batch reactors subject to uncertainty and disturbances
This paper presents two nonlinear model predictive control based methods for solving closed-loop stochastic dynamic optimisation problems, ensuring both robustness and feasibility with respect to state output constraints. The first one is a new deterministic approach, using the wait-and-see strategy...
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| Published in | Computers & chemical engineering Vol. 133; p. 106529 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
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02.02.2020
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| Abstract | This paper presents two nonlinear model predictive control based methods for solving closed-loop stochastic dynamic optimisation problems, ensuring both robustness and feasibility with respect to state output constraints. The first one is a new deterministic approach, using the wait-and-see strategy. The key idea is to specifically anticipate violation of output hard-constraints, which are strongly affected by instantaneous disturbances, by backing off of their bounds along the moving horizon. The second method is a stochastic approach to solve nonlinear chance-constrained dynamic optimisation problems under uncertainties. The key aspect is the explicit consideration of the stochastic properties of both exogenous and endogenous uncertainties in the problem formulation (here-and-now strategy). The approach considers a nonlinear relation between uncertain inputs and the constrained state outputs. The performance of the proposed methodologies is assessed via an application to a semi-batch reactor under safety constraints, involving strongly exothermic reactions. |
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| AbstractList | This paper presents two nonlinear model predictive control based methods for solving closed-loop stochastic dynamic optimisation problems, ensuring both robustness and feasibility with respect to state output constraints. The first one is a new deterministic approach, using the wait-and-see strategy. The key idea is to specifically anticipate violation of output hard-constraints, which are strongly affected by instantaneous disturbances, by backing off of their bounds along the moving horizon. The second method is a stochastic approach to solve nonlinear chance-constrained dynamic optimisation problems under uncertainties. The key aspect is the explicit consideration of the stochastic properties of both exogenous and endogenous uncertainties in the problem formulation (here-and-now strategy). The approach considers a nonlinear relation between uncertain inputs and the constrained state outputs. The performance of the proposed methodologies is assessed via an application to a semi-batch reactor under safety constraints, involving strongly exothermic reactions. |
| ArticleNumber | 106529 |
| Author | Dorneanu, Bogdan Vassiliadis, Vassilios S. Barz, Tilman Arellano-Garcia, Harvey |
| Author_xml | – sequence: 1 givenname: Harvey surname: Arellano-Garcia fullname: Arellano-Garcia, Harvey email: arellano@b-tu.de organization: Department of Chemical and Process Engineering, University of Surrey, Guildford, GU2 7XH, United Kingdom – sequence: 2 givenname: Tilman surname: Barz fullname: Barz, Tilman organization: AIT Austrian Institute of Technology GmbH, Center for Energy, Vienna, 1210, Austria – sequence: 3 givenname: Bogdan surname: Dorneanu fullname: Dorneanu, Bogdan organization: Department of Chemical and Process Engineering, University of Surrey, Guildford, GU2 7XH, United Kingdom – sequence: 4 givenname: Vassilios S. surname: Vassiliadis fullname: Vassiliadis, Vassilios S. email: vsv20@cam.ac.uk organization: Department of Chemical Engineering and Biotechnology, University of Cambridge, Cambridge, CB3 0AS, United Kingdom |
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| CitedBy_id | crossref_primary_10_1016_j_compchemeng_2021_107339 crossref_primary_10_1016_j_compchemeng_2020_106998 crossref_primary_10_1177_09596518241240677 crossref_primary_10_1080_00207179_2022_2080117 crossref_primary_10_1002_rnc_6279 crossref_primary_10_1007_s40998_024_00703_3 crossref_primary_10_1016_j_psep_2020_09_059 |
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| Keywords | Output-constraints Dynamic real time optimisation Safety Chance-constraints Batch processes NMPC |
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| Title | Real-time feasibility of nonlinear model predictive control for semi-batch reactors subject to uncertainty and disturbances |
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