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Control of an electromechanical pendulum subjected to impulsive disturbances using the Melnikov theory approach

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Abstract

The dynamics of an electromechanical pendulum that collides with an external moving mass is considered. The Melnikov function is derived to determine the effects of periodic collisions on the threshold condition for the appearance of Smale horseshoes chaos in the system. In order to counterbalance the action of the collision, a pulse-like periodic controller is used and the results show the efficiency of the controller to reduce the distortions due to collision and change the parameters boundary delineating the chaotic domain.

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Authors and Affiliations

  1. Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes, and TWAS Research Unit, Department of Physics, Faculty of Science, University of Yaoundé, I, P.O. Box 812, Yaoundé, Cameroon

    A. Notué Kadjie, I. Kemajou & P. Woafo

Authors
  1. A. Notué Kadjie
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  2. I. Kemajou
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  3. P. Woafo
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Correspondence to A. Notué Kadjie.

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Recommended by Associate Editor Hugo Rodrigue

Arnaud Notué Kadjie is a Ph.D. student at the University of Yaoundé 1, Cameroon. He is holder of a Master’s Degree in Physics obtained at the University of Yaoundè 1, Cameroon since 2012. His actual research is oriented towards the dynamics and control of electromechanical systems with the applications in the energy harvesting process and the optimization of actuator. He is a member of the research unit on Modeling and Simulation in Engineering and SPIE since 2015.

Isaac Kemajou was born on 16 October 1983 in Nkongsamba, Cameroon. He obtained his Master’s Degree in Physics at University of Yaoundé I. His research is concentrated on the dynamics of electromechanical systems having a strong nonlinear inductance at the research unit on Modeling and Simulation in Engineering, Biomimetics and Prototypes. He is a member of SPIE since 2015.

Paul Woafo is Professor of Physics at the University of Yaoundé I, Cameroon. He is holder of a “Doctorat de troisième cycle” and a “Doctorat d’Etat” both obtained in Cameroon in 1992 and 1997 in the field of Mechanics (Nonlinear Dynamics). He is presently managing a research unit on Modeling and Simulation in Engineering, Biomimetics and Prototypes (www.lamsebp.org) with strong interests in Electromechanical devices, control of vibrations, dynamics of semiconductor lasers, optoelectronic oscillators, chaos cryptography, biological physics, biomimetics, and appropriate technologies for development. His is presently co-author of more than 200 papers published in peer-reviewed journals by American Physical Society, American Institute of Physics, American Society of Mechanical Engineers, Elsevier-science, IOP-UK, Academic Press, Springer, IEEE, etc. He has been ICTP associate member from 1995 to 2005, and presently Senior Associate Member of ICTP, winner of the TWAS Prize for Young Scientists and Georg Forster Research fellow of the Humboldt Foundation (Germany). He has been to various institutions abroad for teaching and research.

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Notué Kadjie, A., Kemajou, I. & Woafo, P. Control of an electromechanical pendulum subjected to impulsive disturbances using the Melnikov theory approach. J Mech Sci Technol 32, 865–874 (2018). https://doi.org/10.1007/s12206-018-0137-x

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  • DOI: https://doi.org/10.1007/s12206-018-0137-x

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