基于极点配置和椭球分析的传感器故障检测  

Sensor Fault Detection Based on Pole Assignment and Ellipsoidal Analysis

作　　者：张文瀚 王振华[1] 沈毅[1] ZHANG Wen-Han;WANG Zhen-Hua;SHEN Yi(School of Astronautics,Harbin Institute of Technology,Harbin 150001)

机构地区：[1]哈尔滨工业大学航天学院,哈尔滨150001

出　　处：《自动化学报》2023年第7期1407-1420,共14页Acta Automatica Sinica

基　　金：国家自然科学基金(61773145,61973098);深圳市科技计划(JCYJ20160429115309834)资助。

摘　　要：针对具有未知扰动与测量噪声的线性离散时间系统,提出了一种传感器故障检测方法.首先,将传感器故障视为增广状态,将原始系统转化为一个等效的新线性动态系统.然后,基于鲁棒观测器设计和极点配置方法构造了一个故障检测观测器,使得生成的残差能够同时满足对扰动与噪声的鲁棒性和对故障的敏感性.此外,设计了一种基于椭球分析的残差评价方法,该方法可通过判断残差是否被无故障残差椭球包含来检测故障.最后,通过一个二阶RC电路模型的仿真算例验证了所提出方法的有效性与优越性.This paper proposes a sensor fault detection approach for linear discrete-time system with unknown disturbances and measurement noises.A new linear dynamic system,which is equivalent to the original system,is obtained by considering the fault as an auxiliary state.To make the generated residual robust to disturbances and noises,and sensitive to fault,a fault detection observer is constructed based on the robust observer design and pole assignment techniques.Moreover,a residual evaluation method via ellipsoidal analysis is proposed,which can detect fault by checking whether the residual is included by the fault-free residual ellipsoid.Finally,numerical simulation of a second-order RC circuit model is given to illustrate the effectiveness and superiority of the proposed approach.

关 键 词：故障检测 观测器设计 极点配置 椭球分析 

分 类 号：TP212[自动化与计算机技术—检测技术与自动化装置] TP273[自动化与计算机技术—控制科学与工程]