This paper presents a procedure for improving the transient response of a boundary-controlled nonlinear flexible elastic beam via a feed-forward action. It is shown that it is possible to obtain a formal analytic solution of an infinite-dimensional linear system, which approximates the nonlinear dynamics, under time-varying boundary condition in terms of the free vibration modes of the structure. The feed-forward action is then obtained by inverting the relationship between input and output.
A formal approach for the inverse dynamic control of flexible beams
MACCHELLI, ALESSANDRO;BASSI, LUCA;MELCHIORRI, CLAUDIO
2008
Abstract
This paper presents a procedure for improving the transient response of a boundary-controlled nonlinear flexible elastic beam via a feed-forward action. It is shown that it is possible to obtain a formal analytic solution of an infinite-dimensional linear system, which approximates the nonlinear dynamics, under time-varying boundary condition in terms of the free vibration modes of the structure. The feed-forward action is then obtained by inverting the relationship between input and output.File in questo prodotto:
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