Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 10, Issue 5, Pages 2864-2872Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2008.09.006
Keywords
Chaos control; Spinning disk; Feedback linearization; Periodic orbit
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In this paper the problem of chaos control in single mode lateral oscillations of spinning disks is studied. At first, using the harmonic balance method, one of the periodic orbits of system is evaluated. Then proposing a nonlinear feedback strategy a control law is presented for chaos elimination by tracking the mentioned periodic solution. It is shown that although the system is not input-state feedback linearizable, by defining an output signal and using the input-output linearization method, the objective of complete periodic orbit tracking is achieved. The sufficient condition for this purpose is presented, and the performance of proposed method is examined by numerical simulation. (C) 2008 Elsevier Ltd. All rights reserved.
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