华中科技大学学报（自然科学版）Issue(9)：24-28,5.DOI:10.13245/j.hust.150905
基于微分几何的非线性系统故障诊断
Fault diagnosis for nonlinear systems based on differential geometry approach
摘要
Abstract
A differential geometry approach was introduced to the problem of fault detection for a class of nonlinear systems based on analytical model‐based .Firstly ,characteristic index with the fault was defined based on relative degree .For single fault single output nonlinear systems ,the fault could be detected as long as relative degree of the system less than or equal to characteristic index with the fault .Then ,sufficient and necessary conditions were given for the fault detection and diagnosis for multi fault multi output systems .The approach was given and illustrated with a nonlinear system . Numerical simulations were carried out to verify the effectiveness of the proposed approach .关键词
故障诊断/非线性系统/相对阶/故障特征指数/微分几何方法/解析模型Key words
fault diagnosis/nonlinear system/relative degree/fault characteristic index/differential geometry approach/analytical models分类
信息技术与安全科学引用本文复制引用
林立雄,刘成瑞,仲训昱,彭侠夫..基于微分几何的非线性系统故障诊断[J].华中科技大学学报（自然科学版）,2015,(9):24-28,5.基金项目
国家自然科学基金资助项目（61305117，61374037）；国家重点实验室基金资助项目（9140c59030411ht05）． （）
