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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Effective Control Scheme of PWM Universal Motor with Coulomb Friction based on Particle Swarm Optimization

Journal of Applied Nonlinear Dynamics 13(1) (2024) 155--175 | DOI:10.5890/JAND.2024.03.011

A. Soup Tewa Kammogne$^1$, M. Njamen Tchaptchet$^{1}$, M. Siewe Siewe$^{2}$, P. Louodop$^{1}$, G. Kenne$^{3}$

$^{1}$ Laboratory of Condensed Matter, Electronics and Signal Processing (LAMACETS), Department of Physic, Faculty of Sciences, University of Dschang, P.O. Box 67, Dschang, Cameroon

$^{2}$ Laboratory of Mechanics, Materials and Structures. Faculty of Science, Department of Physics, University of Yaounde 1, P.O. Box 812 Yaounde, Cameroon

$^3$ Unité de Recherche d’Automatique et d’Informatique Appliquée (UR-AIA), Département de Génie Électrique, IUT FOTSO Victor Bandjoun, Université de Dschang, B.P. 134, Bandjoun, Cameroun

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Abstract

Power electronic converters have undesirable characteristics that can be influenced by the structure of the converter, the load, the parameters as well as the pulse period, which leads to the malfunction of the converters. For precise positioning tasks, the friction phenomenon plays an important role. In this paper, we first propose to study the dynamics of the general period-1 behavior in a PWM-controlled universal DC motor drive system with nonlinear Coulomb friction and subsequently control the system towards period 1 by optimizing the controller parameters via the particle swarm algorithm (PSO). The dynamic analysis is performed using bifurcation tools, and phase portraits showing that the system exhibits very rich and striking behavior such as periodic orbits, period-doubling bifurcation, quasi-periodicity and chaos control in live mode. In addition, the Filippov method is used to calculate the eigenvalues of the monodromy matrix belonging to the whole system. Finally, the results of the numerical simulation are in almost perfect agreement with the analog results obtained with PSIM. The results obtained in this work have not yet been reported in the literature to the best of the author's knowledge and therefore deserve to be disseminated.

References

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