Multi-rate modeling and economic model predictive control of the electric arc furnace

•Built data-driven models for the electric arc furnace (EAF) process.•Identified multi-rate models for available infrequent and frequent EAF measurements.•Formulated and implemented a two-tiered economic model predictive controller (EMPC).•EMPC determines the best achievable end-point and minimizes...

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Published inJournal of process control Vol. 40; pp. 50 - 61
Main Authors Rashid, Mudassir M., Mhaskar, Prashant, Swartz, Christopher L.E.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.04.2016
Subjects
Online AccessGet full text
ISSN0959-1524
1873-2771
DOI10.1016/j.jprocont.2015.12.012

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Abstract •Built data-driven models for the electric arc furnace (EAF) process.•Identified multi-rate models for available infrequent and frequent EAF measurements.•Formulated and implemented a two-tiered economic model predictive controller (EMPC).•EMPC determines the best achievable end-point and minimizes the operating costs.•Simulation studies demonstrate that end-points are satisfied while minimizing costs. In this manuscript, we consider the problem of multi-rate modeling and economic model predictive control (EMPC) of electric arc furnaces (EAF), which are widely used in the steel industry to produce molten steel from scrap metal. The two main challenges that we address are the multi-rate nature of the measurement availability, and the requirement to achieve final product of a desired characteristic, while minimizing the operation cost. To this end, multi-rate models are identified that include predictions for both the infrequently and frequently measured process variables. The models comprise local linear models and an appropriate weighting scheme to capture the nonlinear nature of the EAF. The resulting model is integrated into a two-tiered predictive controller that enables achieving the target end-point while minimizing the associated cost. The EMPC is implemented on the EAF process and the closed-loop simulation results subject to the limited availability of process measurements and noise illustrate the improvement in economic performance over existing trajectory-tracking approaches.
AbstractList •Built data-driven models for the electric arc furnace (EAF) process.•Identified multi-rate models for available infrequent and frequent EAF measurements.•Formulated and implemented a two-tiered economic model predictive controller (EMPC).•EMPC determines the best achievable end-point and minimizes the operating costs.•Simulation studies demonstrate that end-points are satisfied while minimizing costs. In this manuscript, we consider the problem of multi-rate modeling and economic model predictive control (EMPC) of electric arc furnaces (EAF), which are widely used in the steel industry to produce molten steel from scrap metal. The two main challenges that we address are the multi-rate nature of the measurement availability, and the requirement to achieve final product of a desired characteristic, while minimizing the operation cost. To this end, multi-rate models are identified that include predictions for both the infrequently and frequently measured process variables. The models comprise local linear models and an appropriate weighting scheme to capture the nonlinear nature of the EAF. The resulting model is integrated into a two-tiered predictive controller that enables achieving the target end-point while minimizing the associated cost. The EMPC is implemented on the EAF process and the closed-loop simulation results subject to the limited availability of process measurements and noise illustrate the improvement in economic performance over existing trajectory-tracking approaches.
Author Mhaskar, Prashant
Swartz, Christopher L.E.
Rashid, Mudassir M.
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Cites_doi 10.1002/er.1447
10.1002/aic.12398
10.1016/0098-1354(94)00114-6
10.1002/aic.12112
10.1016/j.jprocont.2014.03.010
10.1016/j.ces.2007.07.017
10.1002/aic.11104
10.1016/j.jprocont.2007.07.001
10.1016/j.compchemeng.2014.03.021
10.2355/isijinternational.39.23
10.1016/j.automatica.2014.08.011
10.1002/aic.14063
10.1002/aic.11920
10.1016/S0967-0661(03)00078-9
10.1016/j.compchemeng.2009.04.014
10.1109/TAC.2010.2101291
10.1109/TSMC.1985.6313399
10.1002/aic.12672
10.1016/j.compchemeng.2014.06.003
10.1016/0005-1098(70)90024-5
10.1002/cjce.20094
10.1021/ie050101b
10.1016/j.compchemeng.2013.07.015
10.1016/j.ces.2004.12.059
10.1002/aic.12720
10.1002/aic.14154
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Keywords Data-driven models
Economic model predictive control
Electric arc furnace
Multi-rate models
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References Aumi, Mhaskar (bib0085) 2012; 58
Takagi, Sugeno (bib0075) 1985; 15
Amrit, Rawlings, Biegler (bib0105) 2013; 58
Gosiewski, Wierzbicki (bib0005) 1970; 6
Oosthuizen, Craig, Pistorius (bib0015) 2004; 12
Chong, Swartz (bib0140) 2013; 59
Bekker (bib0120) 1999
Rivotti, Pistikopoulos (bib0060) 2014; 70
Bekker, Craig, Pistorius (bib0010) 1999; 39
Rivotti, Pistikopoulos (bib0065) 2015; 72
Fletcher, Morris, Montague, Martin (bib0080) 2008; 86
Diehl, Amrit, Rawlings (bib0095) 2011; 56
Ellis, Durand, Christofides (bib0110) 2014; 24
Wang, Larsson, Ryman, Grip, Wikström, Johnsson, Engdahl (bib0130) 2008; 32
Heidarinejad, Liu, Christofides (bib0100) 2012; 58
Shi, El-Farra, Li, Mhaskar, Christofides (bib0030) 2006; 61
Aumi, Mhaskar (bib0050) 2009; 55
MacRosty, Swartz (bib0020) 2005; 44
Christofides, El-Farra, Li, Mhaskar (bib0035) 2008; 63
Aumi, Corbett, Clarke-Pringle, Mhaskar (bib0090) 2013; 59
Ellis, Christofides (bib0115) 2014; 50
Clerici, Dell’Acqua, Maiolo, Vittorio (bib0125) 2008
Chachuat, Marchetti, Bonvin (bib0040) 2008; 18
Swartz (bib0135) 1995; 19
Aumi, Mhaskar (bib0055) 2011; 57
Chachuat, Srinivasan, Bonvin (bib0045) 2009; 33
MacRosty, Swartz (bib0025) 2007; 53
Jin, Huang (bib0070) 2010; 56
Rivotti (10.1016/j.jprocont.2015.12.012_bib0060) 2014; 70
MacRosty (10.1016/j.jprocont.2015.12.012_bib0025) 2007; 53
Heidarinejad (10.1016/j.jprocont.2015.12.012_bib0100) 2012; 58
Shi (10.1016/j.jprocont.2015.12.012_bib0030) 2006; 61
Wang (10.1016/j.jprocont.2015.12.012_bib0130) 2008; 32
Diehl (10.1016/j.jprocont.2015.12.012_bib0095) 2011; 56
Ellis (10.1016/j.jprocont.2015.12.012_bib0110) 2014; 24
MacRosty (10.1016/j.jprocont.2015.12.012_bib0020) 2005; 44
Bekker (10.1016/j.jprocont.2015.12.012_bib0010) 1999; 39
Chachuat (10.1016/j.jprocont.2015.12.012_bib0040) 2008; 18
Aumi (10.1016/j.jprocont.2015.12.012_bib0090) 2013; 59
Rivotti (10.1016/j.jprocont.2015.12.012_bib0065) 2015; 72
Aumi (10.1016/j.jprocont.2015.12.012_bib0050) 2009; 55
Swartz (10.1016/j.jprocont.2015.12.012_bib0135) 1995; 19
Clerici (10.1016/j.jprocont.2015.12.012_bib0125) 2008
Chachuat (10.1016/j.jprocont.2015.12.012_bib0045) 2009; 33
Ellis (10.1016/j.jprocont.2015.12.012_bib0115) 2014; 50
Fletcher (10.1016/j.jprocont.2015.12.012_bib0080) 2008; 86
Gosiewski (10.1016/j.jprocont.2015.12.012_bib0005) 1970; 6
Aumi (10.1016/j.jprocont.2015.12.012_bib0085) 2012; 58
Oosthuizen (10.1016/j.jprocont.2015.12.012_bib0015) 2004; 12
Jin (10.1016/j.jprocont.2015.12.012_bib0070) 2010; 56
Christofides (10.1016/j.jprocont.2015.12.012_bib0035) 2008; 63
Aumi (10.1016/j.jprocont.2015.12.012_bib0055) 2011; 57
Amrit (10.1016/j.jprocont.2015.12.012_bib0105) 2013; 58
Bekker (10.1016/j.jprocont.2015.12.012_bib0120) 1999
Chong (10.1016/j.jprocont.2015.12.012_bib0140) 2013; 59
Takagi (10.1016/j.jprocont.2015.12.012_bib0075) 1985; 15
References_xml – volume: 53
  start-page: 640
  year: 2007
  end-page: 653
  ident: bib0025
  article-title: Dynamic optimization of electric arc furnace operation
  publication-title: AIChE J.
– volume: 19
  start-page: 1173
  year: 1995
  end-page: 1180
  ident: bib0135
  article-title: An algorithm for hierarchical supervisory control
  publication-title: Comp. Chem. Eng.
– volume: 24
  start-page: 1156
  year: 2014
  end-page: 1178
  ident: bib0110
  article-title: A tutorial review of economic model predictive control methods
  publication-title: J. Proc. Cont.
– volume: 86
  start-page: 960
  year: 2008
  end-page: 970
  ident: bib0080
  article-title: Local dynamic partial least squares approaches for the modelling of batch processes
  publication-title: Can. J. Chem. Eng.
– volume: 33
  start-page: 1557
  year: 2009
  end-page: 1567
  ident: bib0045
  article-title: Adaptation strategies for real-time optimization
  publication-title: Comp. Chem. Eng.
– volume: 57
  start-page: 1796
  year: 2011
  end-page: 1808
  ident: bib0055
  article-title: Robust model predictive control and fault handling of batch processes
  publication-title: AIChE J.
– volume: 59
  start-page: 4151
  year: 2013
  end-page: 4168
  ident: bib0140
  article-title: Optimal operation of process plants under partial shutdown conditions
  publication-title: AIChE J.
– volume: 12
  start-page: 253
  year: 2004
  end-page: 265
  ident: bib0015
  article-title: Economic evaluation and design of an electric arc furnace controller based on economic objectives
  publication-title: Control Eng. Pract.
– volume: 56
  start-page: 1829
  year: 2010
  end-page: 1844
  ident: bib0070
  article-title: Robust identification of piecewise/switching autoregressive exogenous process
  publication-title: AIChE J.
– volume: 59
  start-page: 2852
  year: 2013
  end-page: 2861
  ident: bib0090
  article-title: Data-driven model predictive quality control of batch processes
  publication-title: AIChE J.
– volume: 58
  start-page: 855
  year: 2012
  end-page: 870
  ident: bib0100
  article-title: Economic model predictive control of nonlinear process systems using Lyapunov techniques
  publication-title: AIChE J.
– volume: 44
  start-page: 8067
  year: 2005
  end-page: 8083
  ident: bib0020
  article-title: Dynamic modeling of an industrial electric arc furnace
  publication-title: Ind. Eng. Chem. Res.
– volume: 61
  start-page: 268
  year: 2006
  end-page: 281
  ident: bib0030
  article-title: Predictive control of particle size distribution in particulate processes
  publication-title: Chem. Eng. Sci.
– volume: 72
  start-page: 126
  year: 2015
  end-page: 144
  ident: bib0065
  article-title: A dynamic programming based approach for explicit model predictive control of hybrid systems
  publication-title: Comp. Chem. Eng.
– volume: 15
  start-page: 116
  year: 1985
  end-page: 132
  ident: bib0075
  article-title: Fuzzy identification of systems and its applications to modeling and control
  publication-title: IEEE Trans. Syst. Man Cybern.
– volume: 70
  start-page: 172
  year: 2014
  end-page: 179
  ident: bib0060
  article-title: Constrained dynamic programming of mixed-integer linear problems by multi-parametric programming
  publication-title: Comp. Chem. Eng.
– year: 2008
  ident: bib0125
  article-title: Tenova's Intelligent Arc Furnace ‘iEAF’ – Concept and Technical Overview
– volume: 58
  start-page: 2105
  year: 2012
  end-page: 2119
  ident: bib0085
  article-title: Integrating data-based modeling and nonlinear control tools for batch process control
  publication-title: AIChE J.
– volume: 39
  start-page: 23
  year: 1999
  end-page: 32
  ident: bib0010
  article-title: Modelling and simulation of an electric arc furnace process
  publication-title: ISIJ Int.
– volume: 32
  start-page: 1092
  year: 2008
  end-page: 1106
  ident: bib0130
  article-title: A model on CO
  publication-title: Int. J. Energy Res.
– volume: 6
  start-page: 767
  year: 1970
  end-page: 778
  ident: bib0005
  article-title: Dynamic optimization of a steel-making process in electric arc furnace
  publication-title: Automatica
– year: 1999
  ident: bib0120
  article-title: Modelling and control of an electric arc furnace off-gas process
– volume: 50
  start-page: 2561
  year: 2014
  end-page: 2569
  ident: bib0115
  article-title: On finite-time and infinite-time cost improvement of economic model predictive control for nonlinear systems
  publication-title: Automatica
– volume: 55
  start-page: 2861
  year: 2009
  end-page: 2872
  ident: bib0050
  article-title: Safe-steering of batch process systems
  publication-title: AIChE J.
– volume: 58
  start-page: 334
  year: 2013
  end-page: 343
  ident: bib0105
  article-title: Optimizing process economics online using model predictive control
  publication-title: Comp. Chem. Eng.
– volume: 56
  start-page: 703
  year: 2011
  end-page: 707
  ident: bib0095
  article-title: A Lyapunov function for economic optimizing model predictive control
  publication-title: IEEE Trans. Auto. Cont.
– volume: 18
  start-page: 244
  year: 2008
  end-page: 257
  ident: bib0040
  article-title: Process optimization via constraints adaptation
  publication-title: J. Proc. Cont.
– volume: 63
  start-page: 1156
  year: 2008
  end-page: 1172
  ident: bib0035
  article-title: Model-based control of particulate processes
  publication-title: Chem. Eng. Sci.
– volume: 32
  start-page: 1092
  year: 2008
  ident: 10.1016/j.jprocont.2015.12.012_bib0130
  article-title: A model on CO2 emission reduction in integrated steelmaking by optimization methods
  publication-title: Int. J. Energy Res.
  doi: 10.1002/er.1447
– volume: 57
  start-page: 1796
  year: 2011
  ident: 10.1016/j.jprocont.2015.12.012_bib0055
  article-title: Robust model predictive control and fault handling of batch processes
  publication-title: AIChE J.
  doi: 10.1002/aic.12398
– volume: 19
  start-page: 1173
  year: 1995
  ident: 10.1016/j.jprocont.2015.12.012_bib0135
  article-title: An algorithm for hierarchical supervisory control
  publication-title: Comp. Chem. Eng.
  doi: 10.1016/0098-1354(94)00114-6
– volume: 56
  start-page: 1829
  year: 2010
  ident: 10.1016/j.jprocont.2015.12.012_bib0070
  article-title: Robust identification of piecewise/switching autoregressive exogenous process
  publication-title: AIChE J.
  doi: 10.1002/aic.12112
– volume: 24
  start-page: 1156
  year: 2014
  ident: 10.1016/j.jprocont.2015.12.012_bib0110
  article-title: A tutorial review of economic model predictive control methods
  publication-title: J. Proc. Cont.
  doi: 10.1016/j.jprocont.2014.03.010
– volume: 63
  start-page: 1156
  year: 2008
  ident: 10.1016/j.jprocont.2015.12.012_bib0035
  article-title: Model-based control of particulate processes
  publication-title: Chem. Eng. Sci.
  doi: 10.1016/j.ces.2007.07.017
– volume: 53
  start-page: 640
  year: 2007
  ident: 10.1016/j.jprocont.2015.12.012_bib0025
  article-title: Dynamic optimization of electric arc furnace operation
  publication-title: AIChE J.
  doi: 10.1002/aic.11104
– volume: 18
  start-page: 244
  year: 2008
  ident: 10.1016/j.jprocont.2015.12.012_bib0040
  article-title: Process optimization via constraints adaptation
  publication-title: J. Proc. Cont.
  doi: 10.1016/j.jprocont.2007.07.001
– volume: 70
  start-page: 172
  year: 2014
  ident: 10.1016/j.jprocont.2015.12.012_bib0060
  article-title: Constrained dynamic programming of mixed-integer linear problems by multi-parametric programming
  publication-title: Comp. Chem. Eng.
  doi: 10.1016/j.compchemeng.2014.03.021
– volume: 39
  start-page: 23
  year: 1999
  ident: 10.1016/j.jprocont.2015.12.012_bib0010
  article-title: Modelling and simulation of an electric arc furnace process
  publication-title: ISIJ Int.
  doi: 10.2355/isijinternational.39.23
– volume: 50
  start-page: 2561
  year: 2014
  ident: 10.1016/j.jprocont.2015.12.012_bib0115
  article-title: On finite-time and infinite-time cost improvement of economic model predictive control for nonlinear systems
  publication-title: Automatica
  doi: 10.1016/j.automatica.2014.08.011
– year: 2008
  ident: 10.1016/j.jprocont.2015.12.012_bib0125
– volume: 59
  start-page: 2852
  year: 2013
  ident: 10.1016/j.jprocont.2015.12.012_bib0090
  article-title: Data-driven model predictive quality control of batch processes
  publication-title: AIChE J.
  doi: 10.1002/aic.14063
– volume: 55
  start-page: 2861
  year: 2009
  ident: 10.1016/j.jprocont.2015.12.012_bib0050
  article-title: Safe-steering of batch process systems
  publication-title: AIChE J.
  doi: 10.1002/aic.11920
– volume: 12
  start-page: 253
  year: 2004
  ident: 10.1016/j.jprocont.2015.12.012_bib0015
  article-title: Economic evaluation and design of an electric arc furnace controller based on economic objectives
  publication-title: Control Eng. Pract.
  doi: 10.1016/S0967-0661(03)00078-9
– volume: 33
  start-page: 1557
  year: 2009
  ident: 10.1016/j.jprocont.2015.12.012_bib0045
  article-title: Adaptation strategies for real-time optimization
  publication-title: Comp. Chem. Eng.
  doi: 10.1016/j.compchemeng.2009.04.014
– volume: 56
  start-page: 703
  year: 2011
  ident: 10.1016/j.jprocont.2015.12.012_bib0095
  article-title: A Lyapunov function for economic optimizing model predictive control
  publication-title: IEEE Trans. Auto. Cont.
  doi: 10.1109/TAC.2010.2101291
– year: 1999
  ident: 10.1016/j.jprocont.2015.12.012_bib0120
– volume: 15
  start-page: 116
  year: 1985
  ident: 10.1016/j.jprocont.2015.12.012_bib0075
  article-title: Fuzzy identification of systems and its applications to modeling and control
  publication-title: IEEE Trans. Syst. Man Cybern.
  doi: 10.1109/TSMC.1985.6313399
– volume: 58
  start-page: 855
  year: 2012
  ident: 10.1016/j.jprocont.2015.12.012_bib0100
  article-title: Economic model predictive control of nonlinear process systems using Lyapunov techniques
  publication-title: AIChE J.
  doi: 10.1002/aic.12672
– volume: 72
  start-page: 126
  year: 2015
  ident: 10.1016/j.jprocont.2015.12.012_bib0065
  article-title: A dynamic programming based approach for explicit model predictive control of hybrid systems
  publication-title: Comp. Chem. Eng.
  doi: 10.1016/j.compchemeng.2014.06.003
– volume: 6
  start-page: 767
  year: 1970
  ident: 10.1016/j.jprocont.2015.12.012_bib0005
  article-title: Dynamic optimization of a steel-making process in electric arc furnace
  publication-title: Automatica
  doi: 10.1016/0005-1098(70)90024-5
– volume: 86
  start-page: 960
  year: 2008
  ident: 10.1016/j.jprocont.2015.12.012_bib0080
  article-title: Local dynamic partial least squares approaches for the modelling of batch processes
  publication-title: Can. J. Chem. Eng.
  doi: 10.1002/cjce.20094
– volume: 44
  start-page: 8067
  year: 2005
  ident: 10.1016/j.jprocont.2015.12.012_bib0020
  article-title: Dynamic modeling of an industrial electric arc furnace
  publication-title: Ind. Eng. Chem. Res.
  doi: 10.1021/ie050101b
– volume: 58
  start-page: 334
  year: 2013
  ident: 10.1016/j.jprocont.2015.12.012_bib0105
  article-title: Optimizing process economics online using model predictive control
  publication-title: Comp. Chem. Eng.
  doi: 10.1016/j.compchemeng.2013.07.015
– volume: 61
  start-page: 268
  year: 2006
  ident: 10.1016/j.jprocont.2015.12.012_bib0030
  article-title: Predictive control of particle size distribution in particulate processes
  publication-title: Chem. Eng. Sci.
  doi: 10.1016/j.ces.2004.12.059
– volume: 58
  start-page: 2105
  year: 2012
  ident: 10.1016/j.jprocont.2015.12.012_bib0085
  article-title: Integrating data-based modeling and nonlinear control tools for batch process control
  publication-title: AIChE J.
  doi: 10.1002/aic.12720
– volume: 59
  start-page: 4151
  year: 2013
  ident: 10.1016/j.jprocont.2015.12.012_bib0140
  article-title: Optimal operation of process plants under partial shutdown conditions
  publication-title: AIChE J.
  doi: 10.1002/aic.14154
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Snippet •Built data-driven models for the electric arc furnace (EAF) process.•Identified multi-rate models for available infrequent and frequent EAF...
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SubjectTerms Data-driven models
Economic model predictive control
Electric arc furnace
Multi-rate models
Title Multi-rate modeling and economic model predictive control of the electric arc furnace
URI https://dx.doi.org/10.1016/j.jprocont.2015.12.012
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