Fractional-order Polynomial Wiener System Identification
Abstract
This paper deals with the problem of identification of fractional-order Wiener systems. This model consists of a linear fractional-order state space system in series with a static nonlinear block. This problem poses different difficulties, because, it consists of estimating the system parameters and the fractional order. In this work, a new identification algorithm is performed: firstly, the parameters of both the linear and the nonlinear subsystems are estimated based on the Least Squares algorithm and the states are updated based on the auxiliary model principle using the estimated parameters, then, the system order will be estimated using the Levenberg-Marquardt algorithm. Finally, a numerical simulation is offered in the extent to evaluate the effectiveness of the presented method.
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The methods [8], [25], [26], [27] were developed without considering time delay.
“However, these methods were developed without considering time delay.”
From Application of Fractional Calculus for Parameter Estimation of Nonlinear Wiener Systems With Time Delay (2024) · cites this paper as [26]
The methods [8], [25], [26], [27] estimate linear parameters, nonlinear parameters, and fractional order in separate steps.
“These methods [8], [25], [26], [27] estimate linear parameters, nonlinear parameters, and fractional order in separate steps.”
From Application of Fractional Calculus for Parameter Estimation of Nonlinear Wiener Systems With Time Delay (2024) · cites this paper as [26]
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Kothari, K. (2024) · IEEE Access · doi:10.1109/access.2024.3367441 · Cited by 10 · see citing works
- Authors
- Marzougui, S., Atitallah, A., Bedoui, S., & Abderrahim, K.
- Affiliations
- University of Gabès (TN)
- Venue
- 2019 International Conference on Signal, Control and Communication (SCC)
- Publisher
- IEEE
- Published
- 2019-12
- Pages
- 213-218
- OpenAlex
- W3036587476
- Cited by
- 6
- References
- 0
- Citations by year
- 2026: 3 · 2024: 1 · 2023: 1 · 2022: 1
- FWCI
- 0.39
- Type
- conference paper
- Language
- en
- Open access
- closed
- Licence
- Locations
- IEEE International Conference on Signal, Control and Communication (SCC) (publishedVersion)
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Control Systems and Identification
- Physical Sciences › Engineering › Control and Systems Engineering › Advanced Control Systems Design
- Physical Sciences › Engineering › Computational Mechanics › Advanced Adaptive Filtering Techniques
- Keywords
- fractional-order systems, Wiener systems, system identification, parameter estimation, fractional order estimation, Levenberg-Marquardt algorithm, least squares
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