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Ziegler's pendulum is an appropriate model of a nonconservative dynamic system. By considering gravity effect, new equations of motion are extracted from Newton's motion laws. The instability of equilibriums is determined by linear stability analysis. Chaotic behavior of the model is shown by numerical simulations. Sliding mode controller is used for eliminating chaos and for stabilizing the equilibriums. Copyright © 2013 by ASME.
Olivier Martin, Karim Achouri, Mintae Chung