Abstract
In this paper, a fractional order adaptive feedforward cancellation (FO-AFC) scheme is proposed to cancel the periodic disturbance. This FO-AFC offers one more tuning knob - the fractional order, for the performance improvement of the periodic disturbance cancellation, according to the interests of the users. The equivalence of fractional order internal model principle (FO-IMP) scheme is derived for FO-AFC. So, the FO-IMP equivalence can be used to analyze the performance of the cancellation for the target periodic disturbance and the suppression for the harmonics and noise. Two FO-AFC cases, fractional order α ∈ (0, 1) and α ∈ (1, 2), are discussed for the performance analysis, respectively. FO-AFC with additional tuning knob α ∈ (0, 2) has many advantages, and is much more flexible over the integer order adaptive feedforward cancellation (IO-AFC) with only α = 1. Simulation results are presented to validate the performance analysis of FO-AFC comparing with IO-AFC.
Published Version
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