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Residual mode correction is found crucial in calibrating linear resonant absorbers for flexible structures.
A residual mode filter is introduced to accommodate these modes and restore important properties to the adaptively controlled plant.
It is shown that the finite-dimensional controller together with a residual mode filter plays a role of a finite-dimensional stabilizing controller for the original infinite-dimensional system, if the order of the residual mode filter is chosen sufficiently large.
Jump phenomena are observed in the "residual mode shape", and the number and locations of peaks are determined based upon the displacement modal analysis.
A design procedure is devised and subsequently verified by a numerical example, which demonstrates that effective mitigation can be obtained for an arbitrary vibration mode when the residual mode correction is included in the calibration of the RL shunt.
Especially, the latter is called residual mode filter (RMF), and it plays an essential role in the design of finite-dimensional stabilizing controllers when the order of RMF is "sufficiently large".
Similar(53)
Further, in order to limit spillover effects, the residual modes are taken into consideration.
In this process, the removal of higher modes is compensated by the residual modes.
The experimental results show that spillover signals by residual modes were successfully reduced using the optimized multi-layered PVDF sensor.
The undesirable effects of the feedback control on the residual modes are limited by including a spillover constraint term containing the residual controllability Gramian eigenvalues.
The controller of Sakawa type consists of two kinds of observers: one is an observer of Luenberger type and the other is an estimator for residual modes.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com