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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Bibliographic Details
Main Authors: Latawiec, K. J., Stanislawski, R., Hunek, W. P., Lukaniszyn, M.
Format: Conference Proceeding
Language:English
Subjects:
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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Summary: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