ESTIMATION OF PARAMETER BOUNDS FROM BOUNDED-ERROR DATA - A SURVEY

被引:161
作者
WALTER, E [1 ]
PIETLAHANIER, H [1 ]
机构
[1] ECOLE SUPER ELECT,CNRS,SIGNAUX & SYST LAB,F-91192 GIF SUR YVETTE,FRANCE
关键词
D O I
10.1016/0378-4754(90)90002-Z
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Set-membership techniques for estimating parameters from uncertain data are reviewed. Contrary to the prevailing usage, the error in the data is not considered as a random variable with known or parameterized probability density function. Instead, the error is assumed to lie between some known upper and lower bounds. One is then looking for a suitable characterization of the set of all parameter vectors consistent with the model structure, data, and bounds on the errors.
引用
收藏
页码:449 / 468
页数:20
相关论文
共 90 条
[1]   IDENTIFICATION OF SCALAR ERRORS-IN-VARIABLES MODELS WITH DYNAMICS [J].
ANDERSON, BDO .
AUTOMATICA, 1985, 21 (06) :709-716
[2]  
[Anonymous], 1988, GEOMETRIC ALGORITHMS, DOI DOI 10.1007/978-3-642-97881-4
[3]  
[Anonymous], 1986, NUMERICAL RECIPES
[4]  
Bard Y., 1974, NONLINEAR PARAMETER
[5]  
BARMISH BR, 1988, 27TH P IEEE C DEC CO, P1
[6]  
BARMISH BR, 1979, IEEE T AUTOMAT CONTR, V24, P246
[7]  
BARMISH BR, 1987, 26TH P IEEE C DEC CO, P2060
[8]   OPTIMAL SAMPLING SCHEDULE FOR PARAMETER-ESTIMATION OF LINEAR-MODELS WITH UNKNOWN BUT BOUNDED MEASUREMENT ERRORS [J].
BELFORTE, G ;
BONA, B ;
FREDIANI, S .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1987, 32 (02) :179-182
[9]   IDENTIFICATION, STRUCTURE SELECTION AND VALIDATION OF UNCERTAIN MODELS WITH SET-MEMBERSHIP ERROR DESCRIPTION [J].
BELFORTE, G ;
BONA, B ;
CERONE, V .
MATHEMATICS AND COMPUTERS IN SIMULATION, 1990, 32 (5-6) :561-569
[10]  
Belforte G., 1981, P IASTED INT S MODEL, P75