An energy-gain bounding approach to robust fuzzy identification

被引:22
作者
Kumar, M
Stoll, N
Stoll, R
机构
[1] Ctr Life Sci Automat, D-18119 Rostock, Germany
[2] Inst Automat, D-18119 Rostock, Germany
[3] Inst Occupat & Social Med, D-18055 Rostock, Germany
关键词
energy-gain; robust fuzzy identification; H-infinity-optimization; interpretability;
D O I
10.1016/j.automatica.2006.01.013
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A novel method for the robust identification of interpretable fuzzy models, based on the criterion that identification errors are least sensitive to data uncertainties and modelling errors, is suggested. The robustness of identification errors towards unknown disturbances (data uncertainties, modelling errors, etc.) is achieved by bounding (i.e. minimizing) the maximum possible value of energy-gain from disturbances to the identification errors. The solution of energy-gain bounding problem, being robust, shows an improved performance of the identification method. The flexibility of the proposed framework is shown by designing the variable learning rate identification algorithms in both deterministic and stochastic frameworks. (c) 2006 Elsevier Ltd. All fights reserved.
引用
收藏
页码:711 / 721
页数:11
相关论文
共 22 条
[1]  
BABUSKA R, 2000, P ESIT 2000 AACH GER, P445
[2]  
Bodenhofer U, 2000, P 6 INT C SOFT COMP, P334
[3]  
Burger M., 2002, Journal of Inverse and ILL-Posed Problems, V10, P319
[4]   A ROBUST BACK-PROPAGATION LEARNING ALGORITHM FOR FUNCTION APPROXIMATION [J].
CHEN, DS ;
JAIN, RC .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 1994, 5 (03) :467-479
[5]  
Espinosa J, 2000, IEEE T FUZZY SYST, V8, P591
[6]  
HASSAN RM, 1996, AFRICAN CROP SCI J, V4, P1
[7]   Linear estimation in Krein spaces .1. Theory [J].
Hassibi, B ;
Sayed, AH ;
Kailath, T .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (01) :18-33
[8]   H infinity optimality of the LMS algorithm [J].
Hassibi, B ;
Sayed, AH ;
Kailath, T .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1996, 44 (02) :267-280
[9]   Robust neurofuzzy rule base knowledge extraction and estimation using subspace decomposition combined with regularization and D-optimality [J].
Hong, X ;
Harris, CJ ;
Chen, S .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2004, 34 (01) :598-608
[10]  
Johansen TA, 1996, FUZZ-IEEE '96 - PROCEEDINGS OF THE FIFTH IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-3, P180, DOI 10.1109/FUZZY.1996.551739