Vibration control of beams using multiobjective state-feedback control

An active vibration suppression system is designed using a multiobjective state-feedback controller. The governing equation of motion for a piezo/beam system is derived using Hamilton's principle. The control gains of the resulting system are selected using the theory of robust controls. In this regard, a robust controller is designed using a feedback control law that satisfies additional constraints on the closed-loop pole location in the face of model uncertainties, which are derived for a general class of convex regions of the complex plane. These constraints are expressed in terms of the linear matrix inequalities approach for multiobjective synthesis. The validity and applicability of this approach for vibration suppression for the piezo/beam system by damping out the multiple vibrational modes of the piezo/beam system are discussed.

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