中国空间科学技术

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基于H_∞估计的鲁棒故障检测

李新国,陈红英   

  1. 西北工业大学,西北工业大学 西安710072 ,西安710072
  • 发布日期:2004-12-25

Robust Fault Detection Based on the H_∞ Estimation

Li Xinguo Chen Hongying (Northwestern Polytechnical University, Xi′an 710072)   

  • Online:2004-12-25
  • Supported by:
    国家 8 63计划 (2 0 0 2AA72 60 13 )资助

摘要: 为了减少故障误警率和提高故障检测精度 ,文章利用H∞ 估计和优化理论研究了线性离散不确定系统的故障检测问题。故障检测的关键是使余量发生器产生的余量对不确定因素和干扰输入具有鲁棒性 ,同时对故障具有敏感性。另外 ,文中还讨论了门限值的计算和选择问题。最后 ,仿真计算了在模型不确定性和随机干扰情况下 ,某飞行器传感器 /执行器故障的检测过程。与基于卡尔曼滤波的方法比较 ,基于H∞ 估计的故障检测方法能有效降低误警率。

关键词: H∞估计, 故障检测, 虚警概率, 滤波器

Abstract: The H ∞ estimation and optimization methodology ave applied to the fault detection of linear discrete-time uncertain system in order to reduce false alarm rate and improve fault detection accuracy. The key to fault detection based on estimation is to generate residual that are robust against system uncertainties and external disturbance inputs, and that are simultaneously sensitive to fault if occurrs. The robustness requirement of residual generation can be satisfied by application of H ∞ -estimator. The sensitivity requirement can be satisfied by the usage of optimization design that aims to maximize the effect of fault to residuals. Calculation and selection of threshold value are presented. The results are applying to detect fault occurred in sensor and actuator of aircraft in the existence of uncertainties and disturbance inputs. It is shown that the fault detection method based on robust H ∞ estimation and optimization proposed in this paper can reduce false alarm rate by comparing with Kalman filtering.