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 language | English (US) |
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Title of host publication | 2016 American Control Conference, ACC 2016 |
Publisher | Institute of Electrical and Electronics Engineers Inc. |
Pages | 2772-2777 |
Number of pages | 6 |
Volume | 2016-July |
ISBN (Electronic) | 9781467386821 |
DOIs | |
State | Published - Jul 28 2016 |
Event | 2016 American Control Conference, ACC 2016 - Boston, United States Duration: Jul 6 2016 → Jul 8 2016 |
Other
Other | 2016 American Control Conference, ACC 2016 |
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Country | United States |
City | Boston |
Period | 7/6/16 → 7/8/16 |
ASJC Scopus subject areas
- Electrical and Electronic Engineering