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线性离散系统的有限频域集员故障检测观测器设计

李佶桃 王振华 沈毅

李佶桃, 王振华, 沈毅. 线性离散系统的有限频域集员故障检测观测器设计. 自动化学报, 2020, 46(7): 1531-1538. doi: 10.16383/j.aas.c170725
引用本文: 李佶桃, 王振华, 沈毅. 线性离散系统的有限频域集员故障检测观测器设计. 自动化学报, 2020, 46(7): 1531-1538. doi: 10.16383/j.aas.c170725
LI Ji-Tao, WANG Zhen-Hua, SHEN Yi. Set-membership Fault Detection Observer Design in Finite-Frequency Domain for Linear Discrete-Time System. ACTA AUTOMATICA SINICA, 2020, 46(7): 1531-1538. doi: 10.16383/j.aas.c170725
Citation: LI Ji-Tao, WANG Zhen-Hua, SHEN Yi. Set-membership Fault Detection Observer Design in Finite-Frequency Domain for Linear Discrete-Time System. ACTA AUTOMATICA SINICA, 2020, 46(7): 1531-1538. doi: 10.16383/j.aas.c170725

线性离散系统的有限频域集员故障检测观测器设计

doi: 10.16383/j.aas.c170725
基金项目: 

国家自然科学基金 61973098

国家自然科学基金 61773145

国家重点研发计划项目 2019YFC0117400

详细信息
    作者简介:

    李佶桃  哈尔滨工业大学航天学院博士研究生.主要研究方向为基于区间分析的故障诊断与容错控制. E-mail:lijitaonuaa5@gmail.com

    王振华  哈尔滨工业大学航天学院副教授.主要研究方向为故障诊断与容错控制技术. E-mail:zhenhua.wang@hit.edu.cn

    通讯作者:

    沈毅  哈尔滨工业大学航天学院教授.主要研究方向为故障诊断, 飞行器控制, 超声信号处理.本文通信作者. E-mail: yishen_hit@126.com

  • 本文责任编委 孟凡利

Set-membership Fault Detection Observer Design in Finite-Frequency Domain for Linear Discrete-Time System

Funds: 

National Natural Science Foundation of China 61973098

National Natural Science Foundation of China 61773145

National Key Research and Development Program of China 2019YFC0117400

More Information
    Author Bio:

    LI Ji-Tao Ph.D. candidate at the School of Astronautics, Harbin Institute of Technology. His research interest covers fault diagnosis and fault-tolerant control based on interval analysis

    WANG Zhen-Hua Associate professor at the School of Astronautics, Harbin Institute of Technology. His research interest covers fault diagnosis and fault-tolerant control

    Corresponding author: SHEN Yi Professor at the School of Astronautics, Harbin Institute of Technology. His research interest covers fault diagnosis, flight vehicle control, and ultrasound signal processing. Corresponding author of this paper.
  • Recommended by Associate Editor MENG Fan-Li
  • 摘要: 本文针对线性离散系统, 提出了一种新的有限频域执行器故障检测方法.利用中心对称多胞体近似未知扰动边界, 本文提出的中心对称多胞体集员故障检测观测器可实时估计残差范围.通过观测零点是否脱离残差生成的中心对称多胞体的范围, 判断故障是否发生.为了提高对干扰的鲁棒性和对故障的敏感性, 基于P半径准则和广义Kalman-Yakubovich-Popov引理, 本文给出了故障检测观测器的设计条件, 并将其转化为便于求解的矩阵不等式形式.最后, 车辆横向动态系统的仿真结果验证了所提方法的有效性.
    Recommended by Associate Editor MENG Fan-Li
    1)  本文责任编委 孟凡利
  • 图  1  考虑有限频域特性的残差生成中心对称多胞体$ \mathcal{Z}_r $的变化过程

    Fig.  1  Zonotopes $ \mathcal{Z}_r $ generated by residual considering the finite-frequency characteristics

    图  2  考虑有限频域特性的故障检测结果

    Fig.  2  Result of fault detection by considering the finite-frequency characteristics

    图  3  不考虑有限频域特性的残差生成中心对称多胞体$ \mathcal{Z}_r $的变化过程

    Fig.  3  Zonotopes $ \mathcal{Z}_r $ generated by residual without considering the finite-frequency characteristics

    图  4  不考虑有限频域特性的故障检测结果

    Fig.  4  Result of fault detection without considering the finite-frequency characteristics

    图  5  本文的方法和文献[19]的方法所得残差r的变化过程

    Fig.  5  Residual r generated by the proposed method and the method in [19]

    图  6  本文方法和文献[19]方法所得故障到残差传递函数的最小奇异值和扰动到残差传递函数的最大奇异值的比值

    Fig.  6  Ratios of the minimum singular value of transfer function from fault to residual to the maximum singular value of transfer function from disturbance to residual by the the proposed method and the method in [19]

    表  1  集合$\Theta $与矩阵$\Xi $在不同频域的取值

    Table  1  $\Theta $ and $\Xi $ for different frequency ranges

    $\Theta $ $\Xi $
    低频 $|\theta | \le {\vartheta _1}$ $\left[ {\begin{array}{*{20}{c}} { - P}&Q\\ Q&{P - 2{\rm{cos}}{\vartheta _l}Q} \end{array}} \right]$
    中频 ${\vartheta _1} \le \theta \le {\vartheta _2}$ $\left[ {\begin{array}{*{20}{c}} { - P}&{{e^{j\theta }}cQ}\\ {{e^{ - j\theta c}}Q}&{P - 2{\rm{cos}}{\vartheta _w}Q} \end{array}} \right]$
    高频 $|\theta | \ge {\vartheta _h}$ $\left[ {\begin{array}{*{20}{c}} { - P}&{ - Q}\\ { - Q}&{P + 2{\rm{cos}}{\vartheta _h}Q} \end{array}} \right]$
    下载: 导出CSV
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出版历程
  • 收稿日期:  2017-12-25
  • 录用日期:  2018-05-30
  • 刊出日期:  2020-07-24

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