Abstract
AbstractIn this paper, a fractional order adaptive feed‐forward cancellation (FO‐AFC) scheme is proposed to cancel periodic disturbances. 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 the 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. FO‐AFC with additional tuning knob α ∈ (0, 2) has many advantages, and it is much more flexible than the integer order adaptive feed‐forward cancellation (IO‐AFC) with only α = 1. Experimental results are presented to validate the performance analysis of FO‐AFC compared with IO‐AFC.
Published Version
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