A Novel Robust Variational Bayesian Filter for Unknown Time-Varying Input and Inaccurate Noise Statistics

被引:5
作者
Huang, Wei [1 ]
Fu, Hongpo [1 ]
Zhang, Weiguo [1 ]
机构
[1] Northwestern Polytech Univ, Sch Automat, Xian, Peoples R China
基金
中国国家自然科学基金;
关键词
Probability density function; Heavily-tailed distribution; Gaussian distribution; Sensors; Noise measurement; Covariance matrices; State estimation; Sensor signal processing; state estimation; heavy-tailed noise; robust filter; unknown input; variational Bayesian; KALMAN FILTER; STATE ESTIMATION;
D O I
10.1109/LSENS.2023.3248172
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Considering that, in many practical applications, the unknown time-varying input and heavy-tailed process and measurement noises induced by some unpredictable anomalous behaviors may degrade the performance of conventional filters seriously, this letter proposes a new robust variational Bayesian (VB) filter. First, the modified one-step prediction and measurement likelihood probability density function are constructed. Then, the VB method is utilized to jointly infer the system state, unknown time-varying input, and inaccurate noise covariance matrices. Finally, a new robust filter is derived, and its effectiveness is verified by the numerical simulations.
引用
收藏
页数:4
相关论文
共 50 条
[21]   Fully distributed variational Bayesian non-linear filter with unknown measurement noise in sensor networks [J].
Liu, Yu ;
Liu, Jun ;
Xu, Congan ;
Li, Gang ;
He, You .
SCIENCE CHINA-INFORMATION SCIENCES, 2020, 63 (11)
[22]   A variational Bayesian marginalized particle filter for jump Markov nonlinear systems with unknown measurement noise parameters [J].
Cheng, Cheng ;
Tourneret, Jean-Yves ;
Yildirim, Sinan .
SIGNAL PROCESSING, 2025, 233
[23]   Robust Variational Bayesian Filter for Systems with Skew t Noise [J].
Li, Shuhui ;
Deng, Zhihong ;
He, Ruxuan ;
Pan, Feng ;
Feng, Xiaoxue ;
Pu, Ni .
2020 CHINESE AUTOMATION CONGRESS (CAC 2020), 2020, :6360-6365
[24]   A novel variational Bayesian adaptive Kalman filter with mismatched process noise covariance matrix [J].
Liu, Xinrui ;
Xu, Hong ;
Zheng, Daikun ;
Quan, Yinghui .
IET RADAR SONAR AND NAVIGATION, 2023, 17 (06) :967-977
[25]   Adaptive State Estimation for Power Systems Measured by PMUs With Unknown and Time-Varying Error Statistics [J].
Cheng, Gang ;
Lin, Yuzhang ;
Chen, Yanbo ;
Bi, Tianshu .
IEEE TRANSACTIONS ON POWER SYSTEMS, 2021, 36 (05) :4482-4491
[26]   A Novel Robust Kalman Filter Algorithm With Unknown Noise Statistics for SINS/GPS Integrated Navigation [J].
Lai, Xin ;
Yang, Fu-Xin .
JOURNAL OF THE CHINESE SOCIETY OF MECHANICAL ENGINEERS, 2023, 44 (01) :49-57
[27]   Time-varying forecasts by variational approximation of sequential Bayesian inference [J].
Ling, Hui Fox ;
Stone, Douglas B. .
QUANTITATIVE FINANCE, 2016, 16 (01) :43-67
[28]   A Variational Bayesian Causal Analysis Approach for Time-Varying Systems [J].
Raveendran, Rahul ;
Huang, Biao ;
Mitchell, Warren .
IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 2021, 29 (03) :1191-1202
[29]   A Novel State Estimation Approach for Suspension System with Time-Varying and Unknown Noise Covariance [J].
Li, Qiangqiang ;
Chen, Zhiyong ;
Shi, Wenku .
ACTUATORS, 2023, 12 (02)
[30]   A variational Bayesian inference technique for model updating of structural systems with unknown noise statistics [J].
Nabiyan, Mansureh-Sadat ;
Sharifi, Mahdi ;
Ebrahimian, Hamed ;
Moaveni, Babak .
FRONTIERS IN BUILT ENVIRONMENT, 2023, 9