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In this paper, a method to utilise modal control using the decoupled second-order matrix equations involving non-classical damping is proposed.
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The particular case considered is that of collocated, point force/sensor feedback wave control combined with modal control designed using pole placement.
The feedback gain between the piezoelectric actuators/sensors for the modal control is obtained using the in-vacuo modal matrix and the incompressible fluid-loaded modal matrix.
The particular controllers considered are the optimal PD/FIR feedback wave controller and modal controller designed using the optimal control approach.
The controller is designed using modal control theory to damp out critical modes in a wide range of series compensation and loading conditions.
It presents a systematic way to design the controller using a robust modal control technique: the feedback gain tuning.
The level of that proximity can be controlled using μ ≥ 0. Instead of minimizing (3.39) simultaneously for all α ij and ϕ, we perform two step modal approach, thus obtaining the suboptimal solution.
A solution to reduce vibration from the most damaging modes is to use active modal control for targeting efficiently control energy on most damaging modes.
A low-dimensional real modal control model which can be used as the basis for active vibration control is then obtained from the combined reduction.
Due to difficulties in analytical solution procedures, assumed mode shape functions based on the bending approximation theory are used in the modal control force expressions and analyses.
The experimental response of the LIEC was then compared to the uncontrolled response, as well as the simulated responses of two semi-active control laws derived from the widely used LQR control and modal control.
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