基于中心对称多胞体的故障可分离性评价

Fault Isolability Evaluation Based on Zonotope

针对包含幅值有界而分布形式未知的故障及输入干扰项的线性离散系统,提出了一种新的系统故障可分离性的量化评价方法.故障可分离性是故障可诊断性中的重要部分,针对现有方法中基于方向相似度的故障可分离性评价方法存在的不足加以补充,提出了利用中心对称多胞体对故障可分离性进行分析,将中心对称多胞体集合转化为多面体的表示形式,以达到对故障可分离性量化评价的目的,同时给出了具体评价原理和评价指标.最后,通过数值仿真算例,验证了该方法的有效性和优越性.

This paper proposes a new quantitative evaluation method for fault isolability of the linear discrete systems subject to faults and input disturbances which are bounded but with unknown distributions.Fault isolability evaluation is an important part of fault diagnosis.In order to improve the existing direction similarity-based method,we propose a new fault isolability method via using zonotopes.To achieve the quantitative evaluation of fault isolability,zonotopes are converted into polytopes.Specific evaluation principles and indices are provided.Finally,numerical examples demonstrate the effectiveness and advantages of the proposed method.