Fractional Order System Identification via Lebesgue Sampling

5 Pages Posted: 9 Nov 2018

See all articles by Jiachang Wang

Jiachang Wang

University of Science and Technology of China

Yiheng Wei

University of Science and Technology of China

Tianyu Liu

University of Science and Technology of China

Yanting Zhao

University of Science and Technology of China

Yong Wang

University of Science and Technology of China

Date Written: July 2018

Abstract

This paper focuses on the fractional order system identification under Lebesgue sampling. The regular sampling is often only related to the sampling period, which may increase the sampling burden sometimes. In this paper, a different sampling method is considered, which can fully consider the relationship between the output data. The Lebesgue sampling method is introduced into the identification of fractional order systems for the first time. Then, based on the maximum likelihood estimation, the problem of parameters identification is transformed into an optimization one. The validity of the proposed method is demonstrated by numerical examples.

Suggested Citation

Wang, Jiachang and Wei, Yiheng and Liu, Tianyu and Zhao, Yanting and Wang, Yong, Fractional Order System Identification via Lebesgue Sampling (July 2018). Proceedings of International Conference on Fractional Differentiation and its Applications (ICFDA) 2018. Available at SSRN: https://ssrn.com/abstract=3281911 or http://dx.doi.org/10.2139/ssrn.3281911

Jiachang Wang

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

Tianyu Liu

University of Science and Technology of China ( email )

96, Jinzhai Road
Hefei, Anhui 230026
China

Yanting Zhao

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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