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Circuits, Systems, and Signal Processing
Erschienen in:

29.02.2024

Cross-Convolution Approach for Delay Estimation in Fractional-Order Time-Delay Systems

verfasst von: Sharefa Asiri, Da-Yan Liu

Erschienen in: Circuits, Systems, and Signal Processing | Ausgabe 5/2024

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Abstract

Several real-life problems that involve a time delay are modeled using fractional time-delay systems. However, most studies related to these systems assume that the delay is already known, which is not the case in practical scenarios where the delay is often uncertain or unknown. To address this issue, this paper proposes an algebraic and robust method to estimate the input delay for a class of fractional time-delay systems in a noisy environment, by applying a cross-convolution approach. Besides, a filtering methodology is incorporated with the proposed approach to enhance its efficacy. In addition, this paper presents novel theories on convolution in the field of fractional calculus. Finally, the performance of the proposed approach is demonstrated by numerical simulations.
Vorheriger Artikel Observer Design for Nonlinear Descriptor Systems: A Survey on System Nonlinearities
Nächster Artikel Optimized Sigmoid Functions for Speech Presence Probability and Gain Function in Speech Enhancement

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Metadaten
Titel
Cross-Convolution Approach for Delay Estimation in Fractional-Order Time-Delay Systems
verfasst von
Sharefa Asiri
Da-Yan Liu
Publikationsdatum
29.02.2024
Verlag
Springer US
Erschienen in
Circuits, Systems, and Signal Processing / Ausgabe 5/2024
Print ISSN: 0278-081X
Elektronische ISSN: 1531-5878
DOI
https://doi.org/10.1007/s00034-024-02622-4

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