A modified filtered-error algorithm with fast convergence in systems with delay


Berkhoff, A.P. (2006) A modified filtered-error algorithm with fast convergence in systems with delay. In: Proceedings of ACTIVE 2006, 18-20 Sep 2006, Adelaide, Australia (pp. pp. 1-12).

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Abstract:In this paper a multi-channel feedforward adaptive control algorithm is described
which has good convergence properties while having relatively small computational
complexity. This complexity is similar to that of the filtered-error algorithm. In order
to obtain these properties, the algorithm is based on a preprocessing step for the actuator
signals using a stable and causal inverse of the transfer path between actuators
and error sensors, the secondary path. The latter algorithm is known from the literature
as postconditioned filtered-error algorithm, which improves convergence speed
for the case that the minimum-phase part of the secondary path increases the eigenvalue
spread. However, the convergence speed of this algorithm suffers from delays in
the adaptation path, because, in order to maintain stability, adaptation rates have to be
lower for larger delays. By making a modification to the postconditioned filtered-error
scheme, the adaptation rate can be set to a higher value. Consequently, the new scheme
also provides good convergence if the system contains significant delays. Furthermore,
an extension of the new scheme is given in which the inverse of the secondary path
is regularized in such a way that the derivation of the modified filtered-error scheme
remains valid.
Item Type:Conference or Workshop Item
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/63549
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