This paper discusses the application of chaos control method for bifurcation control of a parametrically excited pendulum. Specifically, the extended time-delayed feedback control method is employed to maintain stable period-one rotating solution. The motivation of this analysis is the energy harvesting from sea waves where this kind of solution is desirable for an efficient energy generation. Bifurcation diagrams are investigated by considering forcing frequency and forcing amplitude variations. Basically, two different bifurcations need to be avoided from the rotational solution: into chaotic motion; and into non-rotational periodic response. Numerical and experimental results are presented showing that chaos control methods can be successfully applied to perform bifurcation control.
|Title of host publication||Proceedings of the XV International Symposium on Dynamic Problems of Mechanics|
|Place of Publication||Brazil|
|Number of pages||10|
|Publication status||Published - 2013|
|Event||diname - Buzios, Brazil|
Duration: 17 Feb 2013 → 22 Jun 2013
|Period||17/02/13 → 22/06/13|
- bifurcation control
- chaos control methods
- parametrically excited pendulum
De Paula, A., Savi, M. A., Vaziri Hamaneh, S. V., Wiercigroch, M., & Pavlovskaia, E. E. (2013). Numerical and Experimental Bifurcation Control in a Parametrically Excited Pendulum. In M. A. Savi (Ed.), Proceedings of the XV International Symposium on Dynamic Problems of Mechanics ABCM.