The spectral parameter estimation method for parameter identification of linear fractional order systems

Arman Dabiri, Morad Nazari, Eric Butcher

Research output: Chapter in Book/Report/Conference proceedingConference contribution

24 Citations (Scopus)

Abstract

This paper presents a new method to identify unknown parameters of linear fractional order systems by discretizing it at the Gauss-Lobatto-Chebyshev collocation points. The proposed spectral parametric estimation method benefits from the spectral method exponential convergence feature and results in more accuracy in the estimated parameters and less computational time. The advantages of using the spectral parameter estimation method are shown in two examples. In the first example, a batch of five isothermal creep experimental data for an epoxy is used to estimate a simple solid viscoelastic model with fractional order. In the second example, the state matrix and fractional orders of a linear system with non-commensurate fractional order are estimated by using its input-output data disturbed by unknown white Gaussian measurement noise.

Original languageEnglish (US)
Title of host publication2016 American Control Conference, ACC 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2772-2777
Number of pages6
Volume2016-July
ISBN (Electronic)9781467386821
DOIs
StatePublished - Jul 28 2016
Event2016 American Control Conference, ACC 2016 - Boston, United States
Duration: Jul 6 2016Jul 8 2016

Other

Other2016 American Control Conference, ACC 2016
CountryUnited States
CityBoston
Period7/6/167/8/16

Fingerprint

Parameter estimation
Linear systems
Identification (control systems)
Creep

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Dabiri, A., Nazari, M., & Butcher, E. (2016). The spectral parameter estimation method for parameter identification of linear fractional order systems. In 2016 American Control Conference, ACC 2016 (Vol. 2016-July, pp. 2772-2777). [7525338] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ACC.2016.7525338

The spectral parameter estimation method for parameter identification of linear fractional order systems. / Dabiri, Arman; Nazari, Morad; Butcher, Eric.

2016 American Control Conference, ACC 2016. Vol. 2016-July Institute of Electrical and Electronics Engineers Inc., 2016. p. 2772-2777 7525338.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Dabiri, A, Nazari, M & Butcher, E 2016, The spectral parameter estimation method for parameter identification of linear fractional order systems. in 2016 American Control Conference, ACC 2016. vol. 2016-July, 7525338, Institute of Electrical and Electronics Engineers Inc., pp. 2772-2777, 2016 American Control Conference, ACC 2016, Boston, United States, 7/6/16. https://doi.org/10.1109/ACC.2016.7525338
Dabiri A, Nazari M, Butcher E. The spectral parameter estimation method for parameter identification of linear fractional order systems. In 2016 American Control Conference, ACC 2016. Vol. 2016-July. Institute of Electrical and Electronics Engineers Inc. 2016. p. 2772-2777. 7525338 https://doi.org/10.1109/ACC.2016.7525338
Dabiri, Arman ; Nazari, Morad ; Butcher, Eric. / The spectral parameter estimation method for parameter identification of linear fractional order systems. 2016 American Control Conference, ACC 2016. Vol. 2016-July Institute of Electrical and Electronics Engineers Inc., 2016. pp. 2772-2777
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