不确定系统响应上下界分析的改进仿射算法  

Uncertain System Response Bounds Analysis with Modified Affine Arithmetic

作　　者：谢永强[1] 陈建军[1] 朱增青[1] 

机构地区：[1]西安电子科技大学机电工程学院,西安710071

出　　处：《电子科技大学学报》2011年第4期634-640,共7页Journal of University of Electronic Science and Technology of China

基　　金：国家863计划(2006AA04Z402)

摘　　要：针对仿射运算时新符号噪声的引入必然造成误差放大的不足,在函数上下界计算中引入了矩阵形式的上下界的仿射计算公式,提出了一种计算上下界的改进仿射算法。该算法在仿射变量进行乘法运算时不会引入新的噪声,相对与传统的仿射算法能得到更紧凑的界限;并通过实例计算演示了该公式的计算过程及计算方法的有效性。将有界不确定性变量的仿射型及改进的仿射运算引入不确定系统响应上下界的计算。仿真结果表明,相对于区间算法及传统的仿射算法,该算法得到解的界限更为紧凑。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 

分 类 号：TP202[自动化与计算机技术—检测技术与自动化装置] O242[自动化与计算机技术—控制科学与工程]