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Piezoelectric Graded Optimal Control for Vibration Reduction of Non-linear Beam
LIU Can-chang;LIU Lu;CHAI Shan;LI Hong-yan
2011, 31 (6):
38-42.
DOI: 10.3969/j.issn.1006-1355-2011.05.009
A non-linear graded optimal control scheme is proposed and used in the piezoelectric vibration reduction control of non-linear beams. The dynamic model of a non-linear vibration reduction beam with piezoelectric damper is built. The non-linear dynamic differential equations of the vibration reduction system are deduced. The differential equation is linearized into a set of linear equations by means of perturbation. The state space equations are obtained by decoupling in the space coordinates. The vibration reduction system is controlled by the non-linear graded controllers.
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