Directional notch filters for motion control of flexible structures

Abstract

DOI to the publisher's website. • The final author version and the galley proof are versions of the publication after peer review. • The final published version features the final layout of the paper including the volume, issue and page numbers. Link to publication General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights. • Users may download and print one copy of any publication from the public portal for the purpose of private study or research. • You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal. If the publication is distributed under the terms of Article 25fa of the Dutch Copyright Act, indicated by the "Taverne" license above, please follow below link for the End User Agreement:

Semi-modal active vibration control of plates using discrete piezoelectric modal filters

“…It is worthwhile to notice that the truncation of matrix Y within a given frequency range will affect its QR decomposition and, thus, the approximate solution of the linear system (5). Therefore, there may be one different solution α † for each frequency range considered for truncation of the FRF matrix.…”

“…Then, the optimal weighting coefficients vector α j for a modal filter designed to isolate the response of j-th vibration mode is evaluated using the QR decomposition of the experimental FRF measured by the 12 piezoelectric patches according to (5). The practical implementation of the weighted sum is obtained using the electric circuit shown in Fig.…”

“…In the first case, the control strategy is responsible for filtering the sensor(s) output(s) via software and calculating the actuator(s) input(s) so that specific modes or frequency-ranges are targeted. However, this could easily lead to quite cumbersome signal processing requirements [3][4][5].…”

$\mathcal{H}_{2}$ -Optimal Blending of Inputs and Outputs for Modal Control

“…Another static blending approach is presented in [14], where control inputs are allocated such that dominating modes can be controlled with a simplified control law. In case only a single mode needs to be controlled, according static decoupling approaches are proposed in [15] and [16]. While in [16], the input and output blending vectors are computed iteratively, [15] directly exploits the shape of the mode to be controlled.…”

“…In case only a single mode needs to be controlled, according static decoupling approaches are proposed in [15] and [16]. While in [16], the input and output blending vectors are computed iteratively, [15] directly exploits the shape of the mode to be controlled. Apart from the direct blending for individual mode isolation, SISO controller designs may also be enabled by diagonalizing the whole underlying MIMO system such that each input controls a single output.…”