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Volumn 56, Issue 8, 2010, Pages 2088-2102

A backoff strategy for model-based experiment design under parametric uncertainty

Author keywords

Backoff strategy; Biomedical engineering; Feasibility under uncertainty; Mathematical modelling; Model based design of experiments

Indexed keywords

BACK-OFF; BACKOFFS; CONSTRAINED DESIGN; DATA SETS; DESIGN EFFICIENCY; DESIGNED EXPERIMENTS; DETERMINISTIC MODELS; EFFECTIVE TOOL; EXPERIMENT DESIGN; FEASIBILITY UNDER UNCERTAINTY; FEASIBLE REGIONS; GENERAL METHODOLOGIES; ITERATIVE MODEL; MATHEMATICAL MODELLING; MODEL BASED APPROACH; MODEL PARAMETERS; MODEL-BASED EXPERIMENT DESIGN; OPTIMAL EXPERIMENTS; OPTIMALITY; PARAMETER DISTRIBUTIONS; PARAMETER IDENTIFICATION; PARAMETER SET; PARAMETRIC UNCERTAINTIES; PROCESS DATA; PROCESS MODEL; RAPID DEVELOPMENT; SYSTEM RESPONSE; WORST CASE;

EID: 77958600112     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.12138     Document Type: Article
Times cited : (55)

References (61)
  • 1
    • 52149085229 scopus 로고    scopus 로고
    • Model-based design of experiments for parameter precision: State of the Art
    • Franceschini G, Macchietto S. Model-based design of experiments for parameter precision: State of the Art. Chem Eng Sci. 2008;63:4846-4872.
    • (2008) Chem Eng Sci , vol.63 , pp. 4846-4872
    • Franceschini, G.1    Macchietto, S.2
  • 3
    • 3543003496 scopus 로고    scopus 로고
    • On the design of optimally informative experiments for dynamic crystallization process modeling
    • Chen BH, Bermingham S, Neumann AH, Kramer HJM, Asprey SP. On the design of optimally informative experiments for dynamic crystallization process modeling. Ind Eng Chem Res. 2004;43:4889-4902.
    • (2004) Ind Eng Chem Res , vol.43 , pp. 4889-4902
    • Chen, B.H.1    Bermingham, S.2    Neumann, A.H.3    Kramer, H.J.M.4    Asprey, S.P.5
  • 4
    • 15744362099 scopus 로고    scopus 로고
    • Optimal dynamic experiment design for estimation of microbial growth kinetics at sub-optimal temperatures: Modes of implementation
    • Bernaerts K, Van Impe JF. Optimal dynamic experiment design for estimation of microbial growth kinetics at sub-optimal temperatures: Modes of implementation. Sim Mod Pract Th. 2005;13:129-138.
    • (2005) Sim Mod Pract Th , vol.13 , pp. 129-138
    • Bernaerts, K.1    Van Impe, J.F.2
  • 5
    • 25444510601 scopus 로고    scopus 로고
    • Iterative approach to model identification of biological networks
    • Gadkar KG, Gunawan R, Doyle FJ. Iterative approach to model identification of biological networks. BMC Bioinformatics. 2005;6:155-174.
    • (2005) BMC Bioinformatics , vol.6 , pp. 155-174
    • Gadkar, K.G.1    Gunawan, R.2    Doyle, F.J.3
  • 6
    • 33846687238 scopus 로고    scopus 로고
    • Validation of a model for biodiesel production through model-based experiment design
    • Franceschini G, Macchietto S. Validation of a model for biodiesel production through model-based experiment design. Ind Eng Chem Res. 2007;46:220-232.
    • (2007) Ind Eng Chem Res , vol.46 , pp. 220-232
    • Franceschini, G.1    Macchietto, S.2
  • 7
    • 51849112278 scopus 로고    scopus 로고
    • Multiscale model and informatics-based optimal design of experiments: Application to the catalytic decomposition of ammonium on ruthenium
    • Prasad V, Vlachos DG. Multiscale model and informatics-based optimal design of experiments: Application to the catalytic decomposition of ammonium on ruthenium. Ind Eng Chem Res. 2008;47:6555-6567.
    • (2008) Ind Eng Chem Res , vol.47 , pp. 6555-6567
    • Prasad, V.1    Vlachos, D.G.2
  • 8
    • 61849120162 scopus 로고    scopus 로고
    • Optimal design of clinical tests for the identification of physiological models of type 1 diabetes mellitus
    • Galvanin F, Barolo M, Macchietto S, Bezzo F. Optimal design of clinical tests for the identification of physiological models of type 1 diabetes mellitus. Ind Eng Chem Res. 2009;48:1989-2002.
    • (2009) Ind Eng Chem Res , vol.48 , pp. 1989-2002
    • Galvanin, F.1    Barolo, M.2    Macchietto, S.3    Bezzo, F.4
  • 9
    • 67349171138 scopus 로고    scopus 로고
    • Software supporting optimal experiment design: A case study of binary diffusion using EFCOSS
    • Rasch A, Bücker HM, Bardow A. Software supporting optimal experiment design: A case study of binary diffusion using EFCOSS. Comput Chem Eng. 2009;33:838-849.
    • (2009) Comput Chem Eng , vol.33 , pp. 838-849
    • Rasch, A.1    Bücker, H.M.2    Bardow, A.3
  • 11
    • 0034661129 scopus 로고    scopus 로고
    • Statistical tools for optimal dynamic model building
    • Asprey SP, Macchietto S. Statistical tools for optimal dynamic model building. Comput Chem Eng. 2000;24:1261-1267.
    • (2000) Comput Chem Eng , vol.24 , pp. 1261-1267
    • Asprey, S.P.1    Macchietto, S.2
  • 12
    • 33645401282 scopus 로고    scopus 로고
    • Robust multi-variable identification: Optimal experimental design with constraints
    • Bruwer MJ, MacGregor JF. Robust multi-variable identification: Optimal experimental design with constraints. J Process Control. 2006;16:581-600.
    • (2006) J Process Control , vol.16 , pp. 581-600
    • Bruwer, M.J.1    MacGregor, J.F.2
  • 13
  • 14
    • 0000051331 scopus 로고
    • Optimum design of chemical plants with uncertain parameters
    • Grossmann IE, Sargent RWH. Optimum design of chemical plants with uncertain parameters. AIChE J. 1978;37:517.
    • (1978) AIChE J , vol.37 , pp. 517
    • Grossmann, I.E.1    Sargent, R.W.H.2
  • 15
    • 0034306977 scopus 로고    scopus 로고
    • New strategies for flexibility analysis and design under uncertainty
    • Raspanti CG, Bandoni JA, Biegler LT. New strategies for flexibility analysis and design under uncertainty. Comput Chem Eng. 2000;24: 2193-2209.
    • (2000) Comput Chem Eng , vol.24 , pp. 2193-2209
    • Raspanti, C.G.1    Bandoni, J.A.2    Biegler, L.T.3
  • 16
    • 0020750610 scopus 로고
    • Optimal process design under uncertainty
    • Halemane KP, Grossmann IE. Optimal process design under uncertainty. AIChE J. 1983;29:425.
    • (1983) AIChE J , vol.29 , pp. 425
    • Halemane, K.P.1    Grossmann, I.E.2
  • 17
    • 0022045675 scopus 로고
    • An index for operational flexibility in chemical process design
    • Swaney RE, Grossmann IE. An index for operational flexibility in chemical process design. AIChE J. 1985;31:621-629.
    • (1985) AIChE J , vol.31 , pp. 621-629
    • Swaney, R.E.1    Grossmann, I.E.2
  • 18
    • 0029229437 scopus 로고
    • Uncertainty in process design and operations
    • Pistikopoulos EN. Uncertainty in process design and operations. Comput Chem Eng. 1995;19:553.
    • (1995) Comput Chem Eng , vol.19 , pp. 553
    • Pistikopoulos, E.N.1
  • 19
    • 0030213541 scopus 로고    scopus 로고
    • Optimal design of dynamic systems under uncertainty
    • Mohideen MJ, Perkins JD, Pistikopoulos EN. Optimal design of dynamic systems under uncertainty. AIChE J. 1996;42:2251-2272.
    • (1996) AIChE J , vol.42 , pp. 2251-2272
    • Mohideen, M.J.1    Perkins, J.D.2    Pistikopoulos, E.N.3
  • 20
    • 0028486109 scopus 로고
    • A novel optimization approach of stochastic planning models
    • Ierapetritou MG, Pistikopoulos EN. A novel optimization approach of stochastic planning models. Ind Eng Chem Res. 1994;33:1930.
    • (1994) Ind Eng Chem Res , vol.33 , pp. 1930
    • Ierapetritou, M.G.1    Pistikopoulos, E.N.2
  • 21
    • 35548930795 scopus 로고    scopus 로고
    • Chance constrained programming approach to process optimization under uncertainty
    • Li P, Arellano-Garcia H, Wozny G. Chance constrained programming approach to process optimization under uncertainty. Comput Chem Eng. 2008;32:25-45.
    • (2008) Comput Chem Eng , vol.32 , pp. 25-45
    • Li, P.1    Arellano-Garcia, H.2    Wozny, G.3
  • 22
    • 17944402402 scopus 로고    scopus 로고
    • Steady-state process optimization with guaranteed robust stability and feasibility
    • Mönnigmann M, Marquardt W. Steady-state process optimization with guaranteed robust stability and feasibility. AIChE J. 2003;49: 3110-3126.
    • (2003) AIChE J , vol.49 , pp. 3110-3126
    • Mönnigmann, M.1    Marquardt, W.2
  • 25
    • 0033079803 scopus 로고    scopus 로고
    • Economic performance analysis in the design of on-line batch optimisation systems
    • Loeblein C, Perkins JD, Srinivasan B, Bonvin D. Economic performance analysis in the design of on-line batch optimisation systems. J Process Control. 1999;9:61-78.
    • (1999) J Process Control , vol.9 , pp. 61-78
    • Loeblein, C.1    Perkins, J.D.2    Srinivasan, B.3    Bonvin, D.4
  • 26
    • 77958571050 scopus 로고
    • Interaction between process design and process control: The impact of disturbances and uncertainty of the estimates of achievable economic performance
    • Lear JB, Barton GW, Perkins JD. Interaction between process design and process control: The impact of disturbances and uncertainty of the estimates of achievable economic performance. J Process Control. 1995;18:244-257.
    • (1995) J Process Control , vol.18 , pp. 244-257
    • Lear, J.B.1    Barton, G.W.2    Perkins, J.D.3
  • 28
    • 0033965619 scopus 로고    scopus 로고
    • Flexibility analysis and design of linear systems by parametric programming
    • Bansal V, Perkins JD, Pistikopoulos E. Flexibility analysis and design of linear systems by parametric programming. AIChE J. 2000;46:335-354.
    • (2000) AIChE J , vol.46 , pp. 335-354
    • Bansal, V.1    Perkins, J.D.2    Pistikopoulos, E.3
  • 29
    • 0032172413 scopus 로고    scopus 로고
    • A robust optimization framework for process parameter and tolerance design
    • Bernardo FP, Saraiva PM. A robust optimization framework for process parameter and tolerance design. AIChE J. 1998;44:2007-2017.
    • (1998) AIChE J , vol.44 , pp. 2007-2017
    • Bernardo, F.P.1    Saraiva, P.M.2
  • 30
    • 0030126052 scopus 로고    scopus 로고
    • Effect of Disturbances in optimizing control: Steady-state open-loop back-off calculation
    • Bahri PA, Bandoni JA, Romagnoli JA. Effect of Disturbances in optimizing control: Steady-state open-loop back-off calculation. AIChE J. 1996;42:983-984.
    • (1996) AIChE J , vol.42 , pp. 983-984
    • Bahri, P.A.1    Bandoni, J.A.2    Romagnoli, J.A.3
  • 31
    • 0032552249 scopus 로고    scopus 로고
    • Economic analysis of different structures of on-line process optimisation systems
    • Loeblein C, Perkins JD. Economic analysis of different structures of on-line process optimisation systems. Comput Chem Eng. 1998;22: 1257-1269.
    • (1998) Comput Chem Eng , vol.22 , pp. 1257-1269
    • Loeblein, C.1    Perkins, J.D.2
  • 32
    • 0031124584 scopus 로고    scopus 로고
    • Integrated flexibility and controllability analysis in design of chemical processes
    • Bahri PA, Bandoni JA, Romagnoli JA. Integrated flexibility and controllability analysis in design of chemical processes. AIChE J. 1997;43:997-1015.
    • (1997) AIChE J , vol.43 , pp. 997-1015
    • Bahri, P.A.1    Bandoni, J.A.2    Romagnoli, J.A.3
  • 33
    • 0034660709 scopus 로고    scopus 로고
    • Inclusion of information costs in process design optimization under uncertainty
    • Bernardo FP, Saraiva PM, Pistikopoulos EN. Inclusion of information costs in process design optimization under uncertainty. Comput Chem Eng. 2000;24:1695-1701.
    • (2000) Comput Chem Eng , vol.24 , pp. 1695-1701
    • Bernardo, F.P.1    Saraiva, P.M.2    Pistikopoulos, E.N.3
  • 34
    • 3042592739 scopus 로고    scopus 로고
    • Numerical methods for optimal control problems in design of robust optimal experiments for nonlinear dynamic processes
    • Körkel S, Kostina E, Bock HG, Schlöder JP. Numerical methods for optimal control problems in design of robust optimal experiments for nonlinear dynamic processes. Opt Methods Software. 2004;19:327-338.
    • (2004) Opt Methods Software , vol.19 , pp. 327-338
    • Körkel, S.1    Kostina, E.2    Bock, H.G.3    Schlöder, J.P.4
  • 35
    • 0036604957 scopus 로고    scopus 로고
    • Designing robust optimal dynamic experiments
    • Asprey SP, Macchietto S. Designing robust optimal dynamic experiments. J Process Control. 2002;12:545-556.
    • (2002) J Process Control , vol.12 , pp. 545-556
    • Asprey, S.P.1    Macchietto, S.2
  • 36
    • 3543034684 scopus 로고    scopus 로고
    • Semi-infinite programming and application to min-max problems
    • Rustem B, Zakovic S. Semi-infinite programming and application to min-max problems. Ann Oper Res. 2003;124:81-110.
    • (2003) Ann Oper Res , vol.124 , pp. 81-110
    • Rustem, B.1    Zakovic, S.2
  • 37
    • 34247473772 scopus 로고    scopus 로고
    • Robust optimal experiment design for system identification
    • Rojas CR, Welsh JS, Goodwin GC, Feuer A. Robust optimal experiment design for system identification. Automatica. 2007;43:993-1008.
    • (2007) Automatica , vol.43 , pp. 993-1008
    • Rojas, C.R.1    Welsh, J.S.2    Goodwin, G.C.3    Feuer, A.4
  • 38
    • 13244290166 scopus 로고    scopus 로고
    • From experiment design to closed-loop control
    • Hjalmarsson H. From experiment design to closed-loop control. Automatica. 2005;41:393-438.
    • (2005) Automatica , vol.41 , pp. 393-438
    • Hjalmarsson, H.1
  • 39
    • 52649139002 scopus 로고    scopus 로고
    • Integrating parameter selection with experimental design under uncertainty for nonlinear dynamic systems
    • Chu Y, Hahn J. Integrating parameter selection with experimental design under uncertainty for nonlinear dynamic systems. AIChE J. 2008;54:2310-2320.
    • (2008) AIChE J , vol.54 , pp. 2310-2320
    • Chu, Y.1    Hahn, J.2
  • 40
    • 0028497977 scopus 로고
    • Solution of a class of multistage dynamic optimizations problems. 1-Problems without path constraints
    • Vassiliadis VS, Sargent RWH, Pantelides CC. Solution of a class of multistage dynamic optimizations problems. 1-Problems without path constraints. Ind Eng Chem Res. 1994;33:2111-2122.
    • (1994) Ind Eng Chem Res. , vol.33 , pp. 2111-2122
    • Vassiliadis, V.S.1    Sargent, R.W.H.2    Pantelides, C.C.3
  • 42
    • 54949110943 scopus 로고    scopus 로고
    • PCA combined model-based design of experiments (DOE) criteria for differential and algebraic system parameter identification
    • Zhang Y, Edgar TF. PCA combined model-based design of experiments (DOE) criteria for differential and algebraic system parameter identification. Ind Eng Chem Res. 2008;47:7772-7783.
    • (2008) Ind Eng Chem Res , vol.47 , pp. 7772-7783
    • Zhang, Y.1    Edgar, T.F.2
  • 43
    • 0038504773 scopus 로고    scopus 로고
    • Design for model parameter uncertainty using nonlinear confidence regions
    • Rooney WC, Biegler LT. Design for model parameter uncertainty using nonlinear confidence regions. AIChE J. 2001;47:1794-1804.
    • (2001) AIChE J , vol.47 , pp. 1794-1804
    • Rooney, W.C.1    Biegler, L.T.2
  • 45
    • 20344396012 scopus 로고    scopus 로고
    • Organizational research: Determining appropriate sample size for survey research
    • Bartlett JE, Kotrlik JW, Higgins C. Organizational research: Determining appropriate sample size for survey research. Inform Technol Learning Perform J. 2001;19:43-50.
    • (2001) Inform Technol Learning Perform J , vol.19 , pp. 43-50
    • Bartlett, J.E.1    Kotrlik, J.W.2    Higgins, C.3
  • 47
    • 10044290383 scopus 로고    scopus 로고
    • Selection of sampling units under a correlated population based on the eigensystem of the population covariance matrix
    • Chao CT. Selection of sampling units under a correlated population based on the eigensystem of the population covariance matrix. Environmetrics. 2004;15:757-775.
    • (2004) Environmetrics , vol.15 , pp. 757-775
    • Chao, C.T.1
  • 48
    • 0033079533 scopus 로고    scopus 로고
    • A quantitative model-independent method for global sensitivity analysis of model output
    • Saltelli A, Tarantola S, Chan KPS. A quantitative model-independent method for global sensitivity analysis of model output. Technometrics. 1999;41:39-56.
    • (1999) Technometrics , vol.41 , pp. 39-56
    • Saltelli, A.1    Tarantola, S.2    Chan, K.P.S.3
  • 50
    • 0033077582 scopus 로고    scopus 로고
    • An algorithm for constrained nonlinear optimisation under uncertainty
    • Darlington J, Pantelides CC, Rustem B, Tanyi BA. An algorithm for constrained nonlinear optimisation under uncertainty. Automatica. 1999;35:217-228.
    • (1999) Automatica , vol.35 , pp. 217-228
    • Darlington, J.1    Pantelides, C.C.2    Rustem, B.3    Tanyi, B.A.4
  • 51
    • 33746400084 scopus 로고    scopus 로고
    • Understanding the effects of model uncertainty in robust design with computer experiments
    • Apley DW, Liu J, Chen W. Understanding the effects of model uncertainty in robust design with computer experiments. ASME J Mech Des. 2006;128:945-958.
    • (2006) ASME J Mech Des , vol.128 , pp. 945-958
    • Apley, D.W.1    Liu, J.2    Chen, W.3
  • 52
    • 77958615943 scopus 로고    scopus 로고
    • gPROMS. Advanced User Guide (release 3.0). Process Systems Enterprise Ltd., London, United Kingdom
    • gPROMS. Advanced User Guide (release 3.0). Process Systems Enterprise Ltd., London, United Kingdom, 2008.
    • (2008)
  • 53
    • 77958612830 scopus 로고    scopus 로고
    • SimLab User Manual (release 3.2.5), Joint Research Centre (European Commission), Brussels, 2008. Available at., accessed on July 15
    • SimLab User Manual (release 3.2.5), Joint Research Centre (European Commission), Brussels, 2008. Available at: http://simlab.jrc.ec.europa.eu/docs/index.htm; accessed on July 15, 2009.
    • (2009)
  • 55
    • 0036055927 scopus 로고    scopus 로고
    • Model predictive control of blood glucose in type I diabetics using subcutaneous glucose measurements
    • Lynch SM, Bequette BW. Model predictive control of blood glucose in type I diabetics using subcutaneous glucose measurements. Proc ACC. 2002;4039-4043.
    • (2002) Proc ACC , pp. 4039-4043
    • Lynch, S.M.1    Bequette, B.W.2
  • 57
    • 0022370758 scopus 로고
    • Blood glucose control by intermittent loop closure in the basal mode: Computer simulation studies with a diabetic model
    • Furler SM, Kraegen EW, Smallwood RH, Chilsom DJ. Blood glucose control by intermittent loop closure in the basal mode: Computer simulation studies with a diabetic model. Diabetes Care. 1985;8:553-561.
    • (1985) Diabetes Care , vol.8 , pp. 553-561
    • Furler, S.M.1    Kraegen, E.W.2    Smallwood, R.H.3    Chilsom, D.J.4
  • 58
    • 0026955375 scopus 로고
    • Optimal control drug scheduling of cancer chemotherapy
    • Martin RB. Optimal control drug scheduling of cancer chemotherapy. Automatica. 1992;28:1113-1123.
    • (1992) Automatica , vol.28 , pp. 1113-1123
    • Martin, R.B.1
  • 59
    • 19744368117 scopus 로고    scopus 로고
    • Dynamic optimisation of bioprocesses: Efficient and robust numerical strategies
    • Banga JR, Balsa-Canto E, Moles CG, Alonso AA. Dynamic optimisation of bioprocesses: Efficient and robust numerical strategies. J Biotechnol. 2005;117:407-419.
    • (2005) J Biotechnol , vol.117 , pp. 407-419
    • Banga, J.R.1    Balsa-Canto, E.2    Moles, C.G.3    Alonso, A.A.4
  • 60
    • 35549006805 scopus 로고    scopus 로고
    • Optimal delivery of chemotherapeutic agents in cancer
    • Dua P, Dua V, Pistikopoulos EN. Optimal delivery of chemotherapeutic agents in cancer. Comput Chem Eng. 2008;32:99-107.
    • (2008) Comput Chem Eng , vol.32 , pp. 99-107
    • Dua, P.1    Dua, V.2    Pistikopoulos, E.N.3
  • 61
    • 67049087140 scopus 로고    scopus 로고
    • Online model-based re-design of experiments for parameter estimation in dynamic systems
    • Galvanin F, Barolo M, Bezzo F. Online model-based re-design of experiments for parameter estimation in dynamic systems. Ind Eng Chem Res. 2009;48:4415-4427.
    • (2009) Ind Eng Chem Res , vol.48 , pp. 4415-4427
    • Galvanin, F.1    Barolo, M.2    Bezzo, F.3


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