期刊
CHAOS SOLITONS & FRACTALS
卷 39, 期 3, 页码 1356-1370出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2007.06.010
关键词
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This paper explores chaotic behaviour and control micro-electro-mechanical systems (MEMS), which consist of thousands of small read/write probe tips that access gigabytes of data stored in a non-volatile magnetic surface. The model of the system is formed by two masses connected by a nonlinear spring and a viscous damping. The paper shows that, by means of an adequate feedback law. the masses can behave as two coupled Duffing's oscillators, which may reach chaotic behaviour when harmonic forces are applied. The chaotic motion is destroyed by applying the following control strategies: (i) static output feedback control law with constant forces and (ii) geometric nonlinear control. The aim is to drive the masses to a set point even with harmonic base excitation, by using chaotic dynamics and nonlinear control. The paper shows that it is possible to obtain a positioning time around a few, ms with sub-nanometre accuracy, velocities, accelerations and forces. as it appears in the design of present MEMS devices. Numerical simulations are used to verify file mathematical discussions. (C) 2007 Elsevier Ltd, All rights reserved.
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