电子科技大学学报2011，Vol.40Issue(4)：634-640,7.DOI:10.3969/j.issn.1001-0548.2011.04.033
不确定系统响应上下界分析的改进仿射算法
Uncertain System Response Bounds Analysis withModified Affine Arithmetic
摘要
Abstract
The introduction of new noise symbols causes error amplification in affine arithmetic inevitably. To avoid this disadvantage, this paper presents a modified affine arithmetic in matrix form for bounds computation of functions. The modified affine arithmetic does not introduce new noises during multiplication operation of affine variables, and it can obtain compacter bounds compared with conventional affine arithmetic. The formulas computing processes and the validity of proposed method are demonstrated by an example. The affine form of bounded uncertain variables and modified affine arithmetic are used to calculate response bounds of uncertain system. The simulations show that, the proposed approach can obtain closer response bounds than interval arithmetic and conventional affine arithmetic.关键词
仿射型/区间算法/改进的仿射算法/不确定系统Key words
affine form/ interval arithmetic/ modified affine arithmetic/ uncertain system分类
信息技术与安全科学引用本文复制引用
谢永强,陈建军,朱增青..不确定系统响应上下界分析的改进仿射算法[J].电子科技大学学报,2011,40(4):634-640,7.基金项目
国家863计划(2006AA04Z402) （2006AA04Z402）
