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A modal control approach is applied to control the vibration of homogeneous and laminated plates.
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Traditional modal control approaches utilise the eigenvectors of the undamped system to diagonalise the system matrices.
The particular controllers considered are the optimal PD/FIR feedback wave controller and modal controller designed using the optimal control approach.
In the proposed control approach, the independent modal space control and the wave control are designed and applied to suppress vibration.
The approach is based on modal control, in which a modal feedback control law relating the motion of the control surfaces to the controlled modes is implemented.
Based on the modal sensor fibers and modal actuator fibers, the modal control of the composite beam is performed independently.
Based on the quasi-modal sensor and quasi-modal actuator, the independent modal control is performed approximately to control the vibration of smart shells.
A modal velocity observer-based modal control scheme is also given to perform the active modal control of the beam.
For the implementation of modal control concepts for linear distributed-parameter systems knowledge of the modal coordinates is mandatory.
Modal control at an incomplete control vector is formed as the weighed sum of controls.
A new control algorithm modified independent modal space control (MIMSC) algorithm is proposed in this paper for eliminating the effect of modal control force on the uncontrolled modes.
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