TY - JOUR
T1 - Limits of vibration suppression in flexible structures
AU - Arabyan, Ara
AU - Chemishkian, Sergey
AU - Meroyan, Elena
N1 - Funding Information:
This work is partially supported by NSF Grant ECS 9057062.
PY - 1999
Y1 - 1999
N2 - A method is described for the determination of limits of vibration suppression in an elastic structure by means of a given number of control actuators. The method is based on a theorem, described and proved herein, that defines the lower limit of residual deformations for specified disturbances and a given map of placement of actuators which can produce finite control forces. The new method can identify regions of placement which result in acceptable residual deformations, thus making control design easier and reduces the cost of searching for optimal actuator positions. Unlike traditional methods used to solve this class of problems, the new method does not require knowledge about the excitation states of various deformation modes. The method is demonstrated by applying it to a simply supported beam and a plate.
AB - A method is described for the determination of limits of vibration suppression in an elastic structure by means of a given number of control actuators. The method is based on a theorem, described and proved herein, that defines the lower limit of residual deformations for specified disturbances and a given map of placement of actuators which can produce finite control forces. The new method can identify regions of placement which result in acceptable residual deformations, thus making control design easier and reduces the cost of searching for optimal actuator positions. Unlike traditional methods used to solve this class of problems, the new method does not require knowledge about the excitation states of various deformation modes. The method is demonstrated by applying it to a simply supported beam and a plate.
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U2 - 10.1023/A:1008390704812
DO - 10.1023/A:1008390704812
M3 - Article
AN - SCOPUS:0032633146
SN - 0925-4668
VL - 9
SP - 223
EP - 246
JO - Dynamics and Control
JF - Dynamics and Control
IS - 3
ER -