Recursive principal component analysis with forgetting factor for operational modal analysis of linear time-varying system

Issue title: Proceedings from the 17th International Symposium on Applied Electromagnetics and Mechanics (ISEM 2015)

Guest editors: Fumio Kojima, Futoshi Kobayashi and Hiroyuki Nakamoto

Article type: Research Article

Authors: Guan, Wei^a | Wang, Cheng^{a; b; *} | Chen, D.S.^a | Luo, Xiangyu^a | Su, F.F.^a

Affiliations: [a] College of Computer Science and Technology, HuaQiao University, Xiamen, Fujian, China | [b] State Key Laboratory for Strength and Vibration of Mechanical Structure, Xi'an Jiaotong University, Xi'an, Shaanxi, China

Correspondence: [*] Corresponding author: Cheng Wang, College of Computer Science and Technology, HuaQiao University, No. 668 Jimei Road, Xiamen 361021, Fujian, China. E-mail:Wangcheng@hqu.edu.cn

Abstract: To update the model on-line and track the changing instantaneous modal shapes and modal frequencies of slow time-varying systems under unobservable random excitation operating conditions, a novel time-domain on-line operational modal analysis (OMA) algorithm based on recursive principal component analysis (RPCA) with forgetting factor is addressed. The algorithm is to update the covariance matrix with forgetting factor, and eigenvalues and eigenvectors tokened system properties are acquired. Finally, numerical simulations with three-degree-of-freedom system with time-varying mass are used to illustrate this method.

Keywords: Operational modal analysis (OMA), linear time-varying system, instantaneous modal parameters, recursive principal component analysis (RPCA), forgetting factor, on-line

DOI: 10.3233/JAE-162187

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 52, no. 3-4, pp. 999-1006, 2016