1. Introduction
Modern-day requirements for increased process performance,
operator comfort and safety and end-product
quality have generated a demand for highperformance
vibration suppression methods, namely
active vibration control methods. There already exists
a wide variety of methods and approaches to vibration
mitigation, varying from the adaptive and nonlinear
approaches to the linear feedback control via filtering
and optimal state-feedback methods. The purpose of
this survey is to evaluate five existing linear time invariant
(LTI) control strategies in a common framework to
provide insight on the similarities and differences
between the designs. It is also to be addressed that
the choice for a suitable control algorithm is problem
dependent and there does not exist a single control law
that has superior performance in every application. The
algorithms considered herein have been chosen based
on their similarity, linearity and the fact that they have
been previously implemented in practical problems
with success. A previous study and comparison of the
existing methods in the same field was made by Sievers
and von Flotow (1992), which included two of the control
laws considered also herein. The approach of this
study is different from the previous one, with the
emphasis being in the robustness and frequency
domain performance analysis of the methods. These
are important properties for any industrial application
of a control law today. The study also covers some of
the recent advances in the field. It should be emphasized
that the number of existing methods is vast and it
is impossible to cover anything but a rather narrow part