Numerical simulation methodology for active-adaptive vibration control using a state-space formulation and IIR filters

Resumo

Undesired vibrations can affect performance, reduce life cycle, and generate excessive noise. Therefore,
they should be controlled. The present work focuses on an active-adaptive vibration control approach which is
implemented and investigated through simulation and experimental trials. The adaptive feature of the control
system allows a satisfactorily low level of vibration to be sustained even if some eventual changes affect the
structure of concern. The current control system is composed of sensors, actuators and a control unit with digital
filters, in a feedforward architecture that uses the FxNLMS or CVA-FxNLMS adaptive algorithms. Such a system
is applied to a clamped-clamped metallic beam subjected to harmonic excitation. The main contribution of this
work is the development of a time-domain numerical simulation methodology for the aforementioned system using
state-space formulation and IIR filters. The model parameters resulting from such a methodology are adjusted
via numerical optimization. The proposed simulation methodology is validated by experimental trials, showing
reliable performance.