Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 15, Issue 10, Pages 3091-3099Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2009.10.002
Keywords
MEMS resonator; Nonlinear dynamics; Melnikov method; Fuzzy sliding-mode control
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The chaotic dynamics of a micro mechanical resonator with electrostatic forces on both sides is investigated. Using the Melnikov function, an analytical criterion for homoclinic chaos in the form of an inequality is written in terms of the system parameters. Detailed numerical studies including phase portrait, Poincare map and bifurcation diagram confirm the analytical prediction and reveal the effect of excitation amplitude on the system transition to chaos. Moreover a robust adaptive fuzzy control algorithm previously proposed by the authors is applied for controlling the chaotic motion. Additional numerical simulations show the effectiveness of the proposed control approach. (C) 2009 Elsevier B.V. All rights reserved.
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