Subspace-Based Fractional Order Systems Identification in Presence of Outliers

6 Pages Posted: 9 Nov 2018

See all articles by Rongzhi Cui

Rongzhi Cui

University of Science and Technology of China

Zongyang Li

University of Science and Technology of China

Yiheng Wei

University of Science and Technology of China

Yong Wang

University of Science and Technology of China

Date Written: July 2018

Abstract

This paper aims at identifying the commensurate fractional order systems when output signal is corrupted by noise and outliers. A new outliers detection method via nuclear norm and infinite norm is proposed, which can detect outliers exactly and estimate noise at the same time. With the adoption of recovered “clean” output signal, the multivariable output error state space method is used to estimate system parameters. The effectiveness and superiority of proposed method are verified by detailed numerical examples.

Suggested Citation

Cui, Rongzhi and Li, Zongyang and Wei, Yiheng and Wang, Yong, Subspace-Based Fractional Order Systems Identification in Presence of Outliers (July 2018). Proceedings of International Conference on Fractional Differentiation and its Applications (ICFDA) 2018. Available at SSRN: https://ssrn.com/abstract=3281907 or http://dx.doi.org/10.2139/ssrn.3281907

Rongzhi Cui

University of Science and Technology of China ( email )

96, Jinzhai Road
Hefei, Anhui 230026
China

Zongyang Li

University of Science and Technology of China ( email )

96, Jinzhai Road
Hefei, Anhui 230026
China

Yiheng Wei

University of Science and Technology of China ( email )

96, Jinzhai Road
Hefei, Anhui 230026
China

Yong Wang (Contact Author)

University of Science and Technology of China ( email )

96, Jinzhai Road
Hefei, Anhui 230026
China

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