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Journal of Mechanical Science and Technology

, Volume 32, Issue 2, pp 865–874 | Cite as

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

Article

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.

Keywords

Electromechanical pendulum Horseshoes chaos Collision Impulsive control 

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Copyright information

© The Korean Society of Mechanical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes, and TWAS Research Unit, Department of Physics, Faculty of ScienceUniversity of Yaoundé, IYaoundéCameroon

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