From structural analysis to observer-based residual generation for fault detection
From structural analysis to observer-based residual generation for fault detection
复制标题
从结构分析到基于观测器的故障检测残差生成
DOI：
10.1109/systol.2016.7739797
复制
发表时间：
2016
影响因子：
2.1
通讯作者：
Fabian Jarmolowitz
中科院分区：
文献类型：
--
作者：
J. Lunze;Sebastian Pröll;Fabian Jarmolowitz
结构分析方法使用二部图来查找系统模型中允许计算残差的方程的超确定子集。相比之下，在基于观测器的诊断中，可观测子系统通过状态估计来构建残差。系统的可观测性可以用有向图的结构技术来验证。本文揭示了系统分析的两种图论方法之间的基本关系，并表明对于线性系统，结构上过定的模型方程集等于系统的输出连通部分。并给出了用相应的二部图验证系统结构可观察性的条件。这一结果为故障检测系统提供了一种全面的方法。首先利用二部结构图找到给定系统的超定部分，然后为第一步找到的故障检测子系统设计一个基于观测器的残差发生器。
Structural analysis methods use bipartite graphs to find over-determined subsets of equations within a system model which allow to compute residuals. In observer-based diagnosis by contrast, observable subsystems are used to build residuals by state estimation. The observability of a system can be verified by structural techniques using directed graphs. This paper reveals a fundamental relationship between the two graph-theoretic approaches to system analysis and shows that for linear systems the structurally over-determined set of model equations equals the output connected part of the system. Moreover, a condition is provided which allows to verify structural observability of a system by means of the corresponding bipartite graph. The important consequence of this result is a comprehensive way to fault detection systems. It starts with finding the over-determined part of a given system by means of a bipartite structure graph and continues with designing an observer-based residual generator for the fault-detectable subsystem found in the first step.