Experimental design for the joint model discrimination and precise parameter estimation through information measures

被引:22
作者
Alberton, Andre L. [1 ]
Schwaab, Marcio [2 ]
Nery Lobao, Marcos Wandir [3 ]
Pinto, Jose Carlos [1 ]
机构
[1] Univ Fed Rio de Janeiro, COPPE, Programa Engn Quim, BR-21941972 Rio De Janeiro, Brazil
[2] Univ Fed Santa Maria, Dept Engn Quim, BR-97105900 Santa Maria, RS, Brazil
[3] Univ Tiradentes, Inst Tecnol & Pesquisa, BR-49032490 Aracaju, SE, Brazil
关键词
Parameter identification; Mathematical modeling; Kinetics; Optimal design; Sequential experimental design; Model discrimination; SEQUENTIAL EXPERIMENTAL-DESIGN; EFFICIENT DESIGN; REGRESSION; CRITERION; EQUIVALENCE; OPTIMALITY; ROBUST;
D O I
10.1016/j.ces.2011.01.036
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
Experimental design procedures for model discrimination and for estimation of precise model parameters are usually treated as independent techniques. In order to conciliate the objectives of both experimental design procedures, the present paper proposes the use of experimental design criteria that are based on measures of the information gain when new experiments are carried out. The proposed criterion depends on the volumes of the confidence regions of the model parameters and presents a number of advantageous aspects, such as the conciliation of the usual experimental design objectives and the fact that the obtained criterion values can be easily interpreted in terms of the information eliminated after carrying out additional experiments. Besides, the proposed design criterion can easily accommodate multiobjective experimental design approaches, as shown in the examples. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1940 / 1952
页数:13
相关论文
共 61 条
[1]  
ALBERTON, 2010, THESIS U FEDERAL RIO
[2]  
ALBERTON AL, CHEM ENG SCI UNPUB
[3]   Sequential experimental design based on multiobjective optimization procedures [J].
Alberton, Andre L. ;
Schwaab, Marcio ;
Biscaia, Evaristo Chalbaud, Jr. ;
Pinto, Jose Carlos .
CHEMICAL ENGINEERING SCIENCE, 2010, 65 (20) :5482-5494
[4]  
[Anonymous], 1984, CHEM ENG SCI
[5]  
[Anonymous], 2007, Introduction to Bayesian Statistics
[6]   Designing robust optimal dynamic experiments [J].
Asprey, SP ;
Macchietto, S .
JOURNAL OF PROCESS CONTROL, 2002, 12 (04) :545-556
[7]   DT-optimum designs for model discrimination and parameter estimation [J].
Atkinson, A. C. .
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2008, 138 (01) :56-64
[8]  
Atkinson A. C., 2007, Optimum experimental designs, with SAS
[9]   OPTIMAL DESIGN - EXPERIMENTS FOR DISCRIMINATING BETWEEN SEVERAL MODELS [J].
ATKINSON, AC ;
FEDOROV, VV .
BIOMETRIKA, 1975, 62 (02) :289-303
[10]   DESIGN OF EXPERIMENTS FOR DISCRIMINATING BETWEEN TWO RIVAL MODELS [J].
ATKINSON, AC ;
FEDOROV, VV .
BIOMETRIKA, 1975, 62 (01) :57-70