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LQR Control for Vibration Suppression of Piezoelectric Integrated Smart Structures
Author(s) -
Zhang S. Q.,
Schmidt R.
Publication year - 2012
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201210336
Subject(s) - linear quadratic regulator , piezoelectricity , vibration , control theory (sociology) , finite element method , vibration control , equations of motion , beam (structure) , state space representation , piezoelectric sensor , quadratic equation , dynamic equation , optimal control , structural engineering , physics , mathematics , engineering , computer science , control (management) , classical mechanics , nonlinear system , acoustics , mathematical optimization , geometry , algorithm , artificial intelligence , quantum mechanics
In the present paper, the equations of motion for piezoelectric integrated smart beams are derived by applying Hamilton's principle and the Finite Element (FE) method, based on the First‐Order Shear Deformation (FOSD) theory. Then, a state space model is constructed from the equations of motion for control design. A Linear Quadratic Regulator (LQR) control for vibration suppression is implemented on the mathematical model of the piezoelectric bonded beam. Finally, a numerical application is performed to testify the applicability and effectiveness of the present method. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)