Adaptive finite fractional difference with a time-varying forgetting factor

Adaptive finite fractional difference with a time-varying forgetting factor

Normalized finite fractional differences are considered as an approximation to the Grunwald-Letnikov fractional difference. In particular, adaptive finite fractional difference (AFFD) is recalled and effectively modified by the introduction of a time-varying forgetting factor. The modified AFFD is s...

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Bibliographische Detailangaben
Hauptverfasser: Latawiec, K. J., Stanislawski, R., Hunek, W. P., Lukaniszyn, M.
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Accuracy
Adaptation models
adaptive systems
Approximation methods
Computational modeling
fractional difference
Grünwald-Letnikov difference
Mathematical model
Optimized production technology
Steady-state
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Beschreibung
Zusammenfassung:Normalized finite fractional differences are considered as an approximation to the Grunwald-Letnikov fractional difference. In particular, adaptive finite fractional difference (AFFD) is recalled and effectively modified by the introduction of a time-varying forgetting factor. The modified AFFD is shown in simulations to provide an excellent approximation performance, both in terms of the modeling accuracy and robustness.
DOI:10.1109/MMAR.2012.6347910