Hidden attractors in electromechanical systems with and without equilibria
Kiseleva, M. A., Kuznetsov, N., & Leonov, G. A. (2016). Hidden attractors in electromechanical systems with and without equilibria. In H. Nijmeijer (Ed.), 6th IFAC Workshop on Periodic Control Systems PSYCO 2016 (pp. 51-55). IFAC Proceedings Volumes (IFAC-PapersOnline), 49 (14). International Federation of Automatic Control (IFAC). doi:10.1016/j.ifacol.2016.07.975
Published inIFAC Proceedings Volumes (IFAC-PapersOnline);49
© IFAC, 2016 (International Federation of Automatic Control). Hosting by Elsevier Ltd. Published in this repository with the kind permission of the publisher.
This paper studies hidden oscillations appearing in electromechanical systems with and without equilibria. Three different systems with such effects are considered: translational oscillator-rotational actuator, drilling system actuated by a DC-motor and drilling system actuated by induction motor. We demonstrate that three systems experience hidden oscillations in sense of mathematical definition. While some of these hidden oscillations can be easily seen in natural physical experiments, the localization of others requires special efforts.