Identification of linear models by fuzzy basis functions

被引：2

作者：

Demenkov, N. P. ^{[1
]}

Mikrin, E. A. ^{[1
]}

Mochalov, I. A. ^{[1
]}

机构：

[1] Bauman Moscow State Tech Univ, Moscow, Russia

来源：

IFAC PAPERSONLINE | 2018年 / 51卷 / 32期

关键词：

hybrid data; fuzzy estimation; least squares method; fully fuzzy system of linear equations;

D O I：

10.1016/j.ifacol.2018.11.484

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article reviews the application of the least squares method for the processing of hybrid data. We formulated and solved the problem of fuzzy estimation of the parameters of a model with fuzzy basis functions, during the solution of which fully fuzzy systems of linear equations appear. In order to illustrate the solution of the problem by the inverse matrix method, two fuzzy basis functions are reviewed: fuzzy unit and fuzzy linear dependence. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

引用

页码：574 / 579

页数：6

共 50 条

[41] Analysis of linear circuits in the Walsh functions basis
Rybin, AI
IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII RADIOELEKTRONIKA, 2004, 47 (5-6): : 36 - 41
[42] REALIZATION OF LINEAR FUNCTIONS BY FORMULAS IN BASIS V AND,-
SUBBOTOV.B
DOKLADY AKADEMII NAUK SSSR, 1961, 136 (03): : 553 - &
[43] RECONSTRUCTION OF FUNCTIONS ON THE BASIS OF SEQUENCES OF LINEAR FUNCTIONALS
KOZAREV, R
JOURNAL OF APPROXIMATION THEORY, 1995, 83 (02) : 220 - 237
[44] Testing fuzzy linear hypotheses in linear regression models
Bernhard F. Arnold
Oke Gerke
Metrika, 2003, 57 : 81 - 95
[45] Testing fuzzy linear hypotheses in linear regression models
Arnold, BF
Gerke, O
METRIKA, 2003, 57 (01) : 81 - 95
[46] Nonlinear dynamical system identification using reduced Volterra models with generalized orthonormal basis functions
Seretis, C
Zafiriou, E
PROCEEDINGS OF THE 1997 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1997, : 3042 - 3046
[47] An adaptive frequency-domain identification of Wiener models by using generalized rational basis functions
Rao, HangMei
Mi, Wen
PROCEEDINGS 2018 33RD YOUTH ACADEMIC ANNUAL CONFERENCE OF CHINESE ASSOCIATION OF AUTOMATION (YAC), 2018, : 293 - 298
[48] Fuzzy linear regression forecasting models
Wu, Chong
Hui, Xiao-Feng
Zhu, Hong-Wen
Journal of Harbin Institute of Technology (New Series), 2002, 9 (03) : 280 - 281
[49] Fuzzy linear regression forecasting models
吴冲
惠晓峰
朱洪文
Journal of Harbin Institute of Technology, 2002, (03) : 280 - 281
[50] Partial identification of underdetermined compartmental models: A method based on positive linear Lyapunov functions
Eisenfeld, J
MATHEMATICAL BIOSCIENCES, 1996, 132 (02) : 111 - 140

← 1 2 3 4 5 →