Jiang Gang , Yang Zhi-Qiang, Tian Yong-Rui, and Yang Jian-Hua.  Search on Application of GM(1,1) Model Based on Kalman Filtering in Monitoring of Zhengzhou-Xi’an Dedicated Passenger Line.  Dynamic Systems and Applications 29 (2020) No. 3, 979-988

https://doi.org/10.46719/dsa202029345

ABSTRACT.
Kalman filter and GM(1,1) have been widely applied deformation analysis in engineering, but most applications only use a single model. One disadvantage of the GM model is that it is susceptible to random interference during the modeling process, and Kalman filtering can eliminate random interference noise. Therefore, This paper improves GM(1,1) model Based on Kalman Filtering. The model has been applied to the monitoring of Zhengzhou-Xi’an Dedicated Passenger Line in collapsible loess area and the practical results show that the predicted value of the model is closer to the actual deformation trend of the observed object. The analysis results can provide a reliable theoretical basis and new research ideas for deformation monitoring and prediction of high-grade highways and railways in collapsible loess areas after construction.

Keywords: Kalman Filtering; GM(1,1) Model; Dedicated Passenger Line; Deformation Prediction