上海交通大学学报

上海交通大学学报（自然版） ›› 2015, Vol. 49 ›› Issue (06): 780-785.

• 自动化技术、计算机技术 • 上一篇    下一篇

基于阈值故障子空间提取算法的多重故障重构

宁超，陈茂银，周东华   

  1. （清华大学 自动化系， 北京 100084）
  • 收稿日期:2014-12-05 出版日期:2015-06-29 发布日期:2015-06-29
  • 基金资助:

    国家自然科学基金(61210012, 61290324, 61490701)，清华大学自主科研青年基金资助项目

Fault Reconstruction for Multiple Failure Modes Based on Threshold Fault Subspace Extraction Algorithm

NING Chao,CHEN Maoyin,ZHOU Donghua   

  1. (Department of Automation, Tsinghua University, Beijing 100084, China)
  • Received:2014-12-05 Online:2015-06-29 Published:2015-06-29

摘要：

摘要：  在统一框架下考虑了多重传感器故障的故障检测与故障重构问题.传感器的多种失效模式给过程监控和故障重构带来了一定的挑战.首先，提出一种可以同时表示加性和乘性传感器故障的故障模型.从数据驱动的角度出发，多重故障可检测性的必要条件和充分条件通过RayleighRitz引理被推导出来.进一步，提出了一种基于阈值故障子空间提取算法的多重故障重构方法.数值仿真表明，所提出的故障重构方法在重构误差指标方面明显优于传统的故障重构方法，验证了文中给出的主要结果.
关键词：  多重故障； 故障检测； 故障重构； 阈值故障子空间提取
中图分类号：  TP 277文献标志码：  A

Abstract:

Abstract： This paper considered the fault detection and reconstruction problem for multiple types of sensor failures in a unified framework. The multiple failure modes pose a challenge to performance monitoring and fault reconstruction. First, a fault model was proposed to represent the existence of additive and multiplicative sensor faults in a single framework. From a data-driven perspective, both necessary and sufficient conditions for fault detectability were derived using Rayleigh-Ritz lemma. Additionally, a data-driven fault reconstruction approach based on threshold fault subspace extraction algorithm was proposed. The proposed fault reconstruction method demonstrates superiority over the traditional method in terms of reconstruction errors. Numerical simulations fully verify the main results.

Key words: multiple failure modes, fault detection, fault reconstruction, threshold fault subspace extraction