A new scheme for fault detection based on Optimal Upper Bounded Interval Kalman Filter

Quoc Hung Lu; Soheib Fergani; Carine Jauberthie

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A new scheme for fault detection based on Optimal Upper Bounded Interval Kalman Filter

机译：基于最优上限间隔Kalman滤波器的故障检测新方案

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This paper deals with a sensor fault detection approach using the Optimal Upper Bounded Interval Kalman Filter (OUBIKF) and an adaptive degree of freedom χ2-statistics method. It is devoted to discrete time linear model subjected to mixed uncertainties in terms of observations and noises. Mixed uncertainties mean both bounded and stochastic uncertainties. The degrees of freedom of this χ2 hypothesis test method are adaptively chosen thanks to amplifier coefficients improving the detection of the sensor faults. The proposed approach is an extension of a result developped in Lu et al. (2019). Application on a vehicle bicycle model highlights the efficiency of the proposed approach. Comparisons with other efficient estimation and fault detection strategies are provided to discuss the accuracy of the obtained results.

机译：本文涉及使用最佳上限间隔Kalman滤波器（Oubikf）和自由度χ2统计方法的传感器故障检测方法。它致力于离散时间线性模型在观察和噪声方面进行混合不确定性。混合不确定性意味着有界和随机的不确定性。由于放大器系数提高了传感器故障的检测，自适应地选择了这种假设试验方法的自由度。所提出的方法是在Lu等人开发的结果的延伸。（2019）。在车辆自行车模型上的应用突出了所提出的方法的效率。提供了具有其他有效估计和故障检测策略的比较，以讨论所获得的结果的准确性。

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《IFAC PapersOnLine》 |2021年第7期|共6页
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Quoc Hung Lu; Soheib Fergani; Carine Jauberthie;
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FDI for linear systemFilteringestimation;

机译：用于线性系统的FDI;

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专利

1. AN INTERVAL KALMAN FILTER ENHANCED BY LOWERING THE COVARIANCE MATRIX UPPER BOUND [J] . Tuan Anh Tran, Jauberthie Carine, Trave-Massuyes Louise, International Journal of Applied Mathematics and Computer Science . 2021,第2期

机译：通过降低协方差矩阵上限来增强间隔Kalman滤波器
2. Interval Kalman filter enhanced by positive definite upper bounds [J] . Tuan Anh Tran, Carine Jauberthie, Fran?oise Le Gall, IFAC PapersOnLine . 2017,第1期

机译：区间卡尔曼滤波器通过正定上界增强
3. Event-triggered optimal Kalman consensus filter with upper bound of error covariance [J] . Zeming Li, Yonggui Liu, Xiaoqing Hu, Signal processing . 2021,第Nova期

机译：事件触发最佳Kalman共识过滤器，具有错误协方差的大写
4. Interval Kalman filter enhanced by positive definite upper bounds [C] . Tuan Anh Tran, Carine Jauberthie, Francoise Le Gall, IFAC World Congress . 2018

机译：间隔卡尔曼滤波器由正定的上限增强
5. Actuator leakage fault detection and isolation based on extended Kalman filtering scheme. [D] . An, Liang. 2007

机译：基于扩展卡尔曼滤波方案的执行器泄漏故障检测与隔离。
6. A Rolling Bearing Fault Classification Scheme Based on k-Optimized Adaptive Local Iterative Filtering and Improved Multiscale Permutation Entropy [O] . Yi Zhang, Yong Lv, Mao Ge 2021

机译：一种基于K优化自适应局部迭代过滤和改进的多尺度置换熵的滚动轴承故障分类方案
7. Observer-Based Fault Detection and Diagnosis Scheme using Optimal FIR Filters [O] . Pyung Soo Kim, Myung Joon, Wook Hyun Kwon 2007

机译：基于观测器的最优FIR滤波器故障检测与诊断方案
8. Comparison of a Distributed Kalman Filter Versus a Centralized Kalman Filter with Fault Detection Considerations. [R] . Lawrence, P. J. 1993

机译：分布式卡尔曼滤波器与具有故障检测考虑的集中卡尔曼滤波器的比较。

A new scheme for fault detection based on Optimal Upper Bounded Interval Kalman Filter

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