A formal method for improving the transient behaviour of a non-linear flexible link

作者：Macchelli Alessandro^*; Melchiorri Claudio

来源：Mathematical and Computer Modelling of Dynamical Systems, 2011, 17(1): 3-18.

DOI：10.1080/13873954.2010.537508

• flexible structures
• feed-forward control
• non-minimum phase systems

This article presents a procedure for improving the transient response of a boundary-controlled non-linear flexible elastic beam through 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 non-linear dynamics, under time-varying boundary conditions in terms of the free vibration modes of the structure, whose calculation is a relatively easy task. The feed-forward action is then obtained by inverting the relationship between input and output variables. A numerical example is presented and some simulation results are discussed.

• 出版日期2011