Fuzzy uncertainty in forward dynamics simulation

被引：6

作者：

Eisentraudt, Markus ^{[1
]}

Leyendecker, Sigrid ^{[1
]}

机构：

[1] Friedrich Alexander Univ Erlangen Nurnberg, Chair Appl Dynam, Erlangen, Germany

来源：

MECHANICAL SYSTEMS AND SIGNAL PROCESSING | 2019年 / 126卷

关键词：

Epistemic uncertainty; Forward dynamics simulation; Fuzzy differential equations; alpha-level optimisation; TRANSFORMATION METHOD;

D O I：

10.1016/j.ymssp.2019.02.036

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, fuzzy uncertainty in forward dynamics simulation is considered. The output of the dynamical system - a fuzzy function - is determined on the basis of alpha-discretisation together with alpha-level optimisation. A new method for an efficient realisation of alpha-level optimisation is developed, which is applicable to arbitrary time integration schemes. The method, called 'Graph Follower', is based on combinations of local optimisations and time integration steps. Different formulations of the underlying alpha-level optimisation problem are derived and examined. In particular, an approximative description of the output as a function of the parameters is introduced, which enables a significant reduction of the numerical complexity of the developed method. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：590 / 608

页数：19

共 29 条

[21]

Moore R. R. B., 2009, INTRO INTERVAL ANAL

[22] NOTE ON EXTENSION PRINCIPLE FOR FUZZY SETS [J].

NGUYEN, HT .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1978, 64 (02) :369-380

[23] Solutions to problems with imprecise data-An engineering perspective to generalized uncertainty models [J].

Pannier, S. ;

Waurick, M. ;

Graf, W. ;

Kaliske, M. .

MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2013, 37 (1-2) :105-120

[24] Fuzzy differential equations [J].

Park, JY ;

Han, HK .

FUZZY SETS AND SYSTEMS, 2000, 110 (01) :69-77

[25]

Walter W, 1998, ORDINARY DIFFERENTIA

[26]

Walter W., 1995, ANALYSIS, V2

[27] FUZZY ARITHMETICAL ANALYSIS OF MULTIBODY SYSTEMS WITH UNCERTAINTIES [J].

Walz, Nico-Philipp ;

Hanss, Michael .

ARCHIVE OF MECHANICAL ENGINEERING, 2013, 60 (01) :109-125

[28] CONCEPT OF A LINGUISTIC VARIABLE AND ITS APPLICATION TO APPROXIMATE REASONING .2. [J].

ZADEH, LA .

INFORMATION SCIENCES, 1975, 8 (04) :301-357

[29] FUZZY SETS [J].

ZADEH, LA .

INFORMATION AND CONTROL, 1965, 8 (03) :338-&

← 1 2 3 →