Summary

Proceedings of the 2013 International Symposium on Nonlinear Theory and its Applications

2013

Session Number:A4L-D

Session:

Number:174

Numerical and Experimental Control in a Parametric Pendulum using Delayed Feedback Method

Aline de Paula,  Marcelo A. Savi,  Vahid Vaziri,  Marian Wiercigroch,  Ekaterina Pavlovskaia,  

pp.174-177

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.2.174

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This paper addresses the application of continuous chaos control method for avoiding bifurcations in a parametrically excited pendulum. Specifically, a delayed feedback control method is employed to maintain stable period-one rotating solution of the pendulum. The motivation of this analysis is the energy harvesting from sea waves where the idea consists in converting the base oscillations of a structure into a rotational motion of the pendulum mass. In such case, the oscillations of the structure are caused by the sea waves, whereas the pendulum rotational motion provides a driving torque for an electrical generator. In this context, bifurcation diagram is investigated by considering forcing amplitude variation. Basically, it is investigated a situation where the desired rotational solution loose stability. Numerical and experimental results are presented showing that chaos control method can be successfully applied to perform bifurcation control.

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