Title
A modified iteratively reweighted correlation analysis algorithm for robust parameter estimation of output error systems with colored heavy-tailed noises
Abstract
In many areas of engineering, the distribution of the measurements always departs from Gaussian to be heavy-tailed due to the presence of outliers, and most of the traditional identification algorithms such as the gradient based and the least-squares based algorithms are not robust in that case. This paper proposes a modified iteratively reweighted correlation analysis algorithm for robust parameter estimation of output error systems with colored heavy-tailed noises. The proposed algorithm is adopted to get the robust finite impulse response auxiliary model, and with the reconstructed noise-free output, the parameters of the output error system can be easily identified by a least squares method. The basic idea of the modified algorithm is to replace the t-distribution based m-estimator with the Tukey's biweight m-estimator, so that the outliers in a specific region can be completely rejected. Compare to the original algorithm, the modified algorithm can achieve higher estimation accuracy in Gaussian mixture noise, simulation results confirm this conclusion.
Year
DOI
Venue
2017
10.23919/IConAC.2017.8082039
2017 23rd International Conference on Automation and Computing (ICAC)
Keywords
Field
DocType
parameter estimation,output error system,heavy-tailed noise,iterative,m-estimator
Least squares,M-estimator,Colored,Outlier,Algorithm,Gaussian,Estimation theory,Finite impulse response,Mathematics,Correlation analysis
Conference
ISBN
Citations 
PageRank 
978-1-5090-5040-6
0
0.34
References 
Authors
8
4
Name
Order
Citations
PageRank
Qibing Jin11911.28
Yunfei Xing200.34
Beiyan Jiang310.70
Xinghan Du410.70