冗余捷联惯组故障诊断的奇异值分解新方法  

New SVD method in FDI of redundant IMU

作　　者：任子君[1] 符文星[1] 张通[1] 闫杰[1] 

机构地区：[1]西北工业大学航天学院,西安710072

出　　处：《仪器仪表学报》2016年第2期412-419,共8页Chinese Journal of Scientific Instrument

基　　金：航天支撑基金(2013HTXGD);航空基金(20135853037)项目资助

摘　　要：冗余捷联惯组故障诊断奇异值分解法由于缺少单位化、阈值偏大和隔离策略有缺陷,导致漏警率偏高、误隔离率偏高且无法隔离负向故障。在分析Shim法原理的基础上,采用改进的解耦矩阵、新的故障隔离函数包含单位化和取模的运算,并且将故障检测和隔离分步实施。对改进方法进行蒙特卡洛数字仿真,仿真试验结果表明:新方法克服了Shim法的缺点,具有更高的正检率、更低的误隔离率。尤其对于发生负向故障的器件,改进方法能得到约99%的隔离率。新方法为冗余捷联惯组故障诊断提供一种新思路。The SVD（ singular value decomposition） method was proposed by Shim in FDI（ fault detection and isolation）,to improve the reliability of Redundant IMU（ Inertial Measurement Units） in vehicles. But disadvantages existed in Shim＇s FDI strategy,such as the lack of normalization,the too large threshold,the wrong isolation strategy,false isolation of a negative fault. Here a new FDI strategy is presented based on Shim＇s SVD method,which overcomes the defects in Shim＇s method by using an improved decoupling matrix,and an improved isolation function involving normalization and module value. Monte Carlo numerical simulation results show that the new strategy is better than Shim＇s,which has higher Probability of Correct Detection and Probability of Correct Isolation. Especially,new strategy has a 99% Probability of Correct Isolation against the negative fault. The new method provides an approach in FDI of Redundant IMU.

关 键 词：故障诊断 冗余捷联惯组 奇异值分解 解耦矩阵 

分 类 号：U666.1[交通运输工程—船舶及航道工程] TH82[交通运输工程—船舶与海洋工程]