Robust vibration suppression methods and systems

DETAILED DESCRIPTION Robust Vibration Suppression (RVS) methods and systems according to the present invention provide improved robustness range and are effective in single or multiple degree of freedom systems.
RVS methods and systems can reduce vibrations in unknown higher modes of a system without any additional calculations.
Only a few parameters need to be adjusted in a system incorporating RVS methods upon initial system setup and a complete system model is not required.
The RVS method also works for systems with unknown damping in any or all of its vibration modes.
In one aspect, the present invention provides a method for providing an output response from a physical system by selecting a command input to be applied to a physical system having a fundamental natural frequency (f.
sub.
n); obtaining a frequency spectra; determining whether the robustness of the command input meets or exceeds a desired level of robustness based on the width of a frequency notch in the frequency spectra; and applying the command input to the physical system to obtain an output response if the robustness of the command input meets or exceeds the desired level of robustness.
In another aspect, the present invention provides a method for providing an output response from a physical system by selecting a command input to be applied to a physical system having a fundamental natural frequency (f.
sub.
n); obtaining a frequency spectra; determining whether the potential of the command input to generate noise from the physical system meets or exceeds a desired level of potential noise generation based on the peak magnitudes of the frequency spectra; and applying the command input to the physical system to obtain an output response if the potential of the command input to generate noise meets or exceeds the desired level of potential noise generation.
In another aspect, the present invention provides a method for providing an output response from a physical system by selecting two or more command inputs to be applied to a physical system having a fundamental natural frequency (f