A novel method of Newton iteration-based interval analysis for multidisciplinary systems

被引：0

作者：

Lei Wang ^{[1
]}

Chuang Xiong ^{[1
]}

RuiXing Wang ^{[1
]}

XiaoJun Wang ^{[1
]}

Di Wu ^{[2
]}

机构：

[1] Institute of Solid Mechanics, Beihang University

[2] China Academy of Launch Vehicle Technology R&D Center

来源：

Science China(Physics,Mechanics & Astronomy) | 2017年 / Mechanics & Astronomy)2017卷 / 09期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

multidisciplinary systems; uncertainty propagation; insufficient sample data; interval uncertainty analysis method; Newton iteration;

D O I：

暂无

中图分类号：

O241.6 [线性代数的计算方法];

学科分类号：

070102 ;

摘要：

A Newton iteration-based interval uncertainty analysis method(NI-IUAM) is proposed to analyze the propagating effect of interval uncertainty in multidisciplinary systems. NI-IUAM decomposes one multidisciplinary system into single disciplines and utilizes a Newton iteration equation to obtain the upper and lower bounds of coupled state variables at each iterative step.NI-IUAM only needs to determine the bounds of uncertain parameters and does not require specific distribution formats. In this way, NI-IUAM may greatly reduce the necessity for raw data. In addition, NI-IUAM can accelerate the convergence process as a result of the super-linear convergence of Newton iteration. The applicability of the proposed method is discussed, in particular that solutions obtained in each discipline must be compatible in multidisciplinary systems. The validity and efficiency of NI-IUAM is demonstrated by both numerical and engineering examples.

引用

页码：52 / 67

页数：16

共 50 条

[41] Extended interval Newton method based on the precise quotient set
Chen, Chin-Yun
COMPUTING, 2011, 92 (04) : 297 - 315
[42] Generalized Policy Iteration-based Reinforcement Learning Algorithm for Optimal Control of Unknown Discrete-time Systems
Lin, Mingduo
Zhao, Bo
Liu, Derong
Liu, Xi
Luo, Fangchao
PROCEEDINGS OF THE 33RD CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2021), 2021, : 3650 - 3655
[43] A convergence analysis of an inexact Newton-Landweber iteration method for nonlinear problem
Wang, Ying
Li, Jing
Wang, Jinping
APPLICABLE ANALYSIS, 2018, 97 (07) : 1106 - 1116
[44] NEWTON－KANTOROVICH　ITERATION　METHOD　FOR　SOLVING　INVERSE　PROBLEMS　OF　NONLINEAR　PARABOLIC　SYSTEMS
喻文焕
ActaMathematicaScientia, 1994, (03) : 283 - 296
[45] An improved multi-node Newton iteration search method based on PSO
Chu Yanli
Fan Yao
He Yuyao
Wu Qiwu
OPTIK, 2021, 232
[46] The Research of Newton Iteration Method Based on Hyperchaos Chen System to Mechanism Synthesis
Liu, Qiyuan
Luo, Youxin
Zeng, Bin
He, Zheming
ADVANCED RESEARCH ON INDUSTRY, INFORMATION SYSTEMS AND MATERIAL ENGINEERING, PTS 1-7, 2011, 204-210 : 169 - 173
[47] The path planning of space manipulator based on Gauss-Newton iteration method
Xie, Yaen
Wu, Xiande
Shi, Zhen
Wang, Zhipeng
Sun, Jun
Hao, Tianwei
ADVANCES IN MECHANICAL ENGINEERING, 2017, 9 (08) : 1 - 12
[48] Calibration method of magnetic and inertial sensors based on Newton iteration and ellipsoid fitting
Liu Y.
Xiao W.
Wu J.
Zhao K.
Yi Qi Yi Biao Xue Bao/Chinese Journal of Scientific Instrument, 2020, 41 (08): : 142 - 149
[49] Policy Iteration-based Indirect Adaptive Optimal Control for Completely Unknown Continuous-Time LTI Systems
Jha, Sumit Kumar
Roy, Sayan Basu
Bhasin, Shubhendu
2017 IEEE SYMPOSIUM SERIES ON COMPUTATIONAL INTELLIGENCE (SSCI), 2017, : 448 - 454
[50] Meshed Chaos Mapping-Based Newton iteration Method of Mechanism Synthesis
Che, Xiaoyi
Liu, Qiyuan
Luo, Youxin
Zeng, Bin
RECENT TRENDS IN MATERIALS AND MECHANICAL ENGINEERING MATERIALS, MECHATRONICS AND AUTOMATION, PTS 1-3, 2011, 55-57 : 688 - 691

← 1 2 3 4 5 →