5. Conclusions
In this paper, an extensive study and comparison of five
algorithms for the active control of tonal disturbances
was made. The similarities and differences between the
algorithms were pointed out. By rough generalization,
the algorithms can be divided into two sets having the
same performance if the design parameters are chosen
in a suitable way, although this is a nontrivial task. The
DOFC algorithm provided the best overall performance,
having at least an adequate performance in
every task – yet not necessarily the best performance.
The remaining four algorithms all proved to yield a
very good performance and very poor performance,
again depending on the task. The choice of design parameters
is problem dependent for all methods except
for the DOFC method, which has a generic parameterization,
yielding similar results regardless of the underlying
process, with a minimal number of free
parameters. In essence, it is obvious that the controller
should be chosen according to the task at hand. If computational
power is scarce or if the process model is
not readily available, the IHC algorithm should be
preferred. If performance and stability are the
preferred quantities, the model-based algorithms
should be preferred. In the study, tables providing the
required information for choosing a suitable controller
were given.