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Control of Multistability in an Erbium-Doped Fiber Laser by an Artificial Neural Network: A Numerical Approach

Author

Listed:
  • Daniel A. Magallón

    (Optics, Complex Systems and Innovation Laboratory, Centro Universitario de los Lagos, Universidad de Guadalajara, Enrique Díaz de León 1144, Colonia Paseos de la Montaña, Lagos de Moreno 47463, Mexico
    Control Laboratory, Centro Universitario de los Lagos, Universidad de Guadalajara, Enrique Díaz de León 1144, Colonia Paseos de la Montaña, Lagos de Moreno 47463, Mexico
    Preparatoria Regional de Lagos de Moreno, Universidad de Guadalajara, Camino a Santa Emilia 620, Colonia Cristeros, Lagos de Moreno 47476, Mexico)

  • Rider Jaimes-Reátegui

    (Optics, Complex Systems and Innovation Laboratory, Centro Universitario de los Lagos, Universidad de Guadalajara, Enrique Díaz de León 1144, Colonia Paseos de la Montaña, Lagos de Moreno 47463, Mexico)

  • Juan H. García-López

    (Optics, Complex Systems and Innovation Laboratory, Centro Universitario de los Lagos, Universidad de Guadalajara, Enrique Díaz de León 1144, Colonia Paseos de la Montaña, Lagos de Moreno 47463, Mexico)

  • Guillermo Huerta-Cuellar

    (Optics, Complex Systems and Innovation Laboratory, Centro Universitario de los Lagos, Universidad de Guadalajara, Enrique Díaz de León 1144, Colonia Paseos de la Montaña, Lagos de Moreno 47463, Mexico)

  • Didier López-Mancilla

    (Optics, Complex Systems and Innovation Laboratory, Centro Universitario de los Lagos, Universidad de Guadalajara, Enrique Díaz de León 1144, Colonia Paseos de la Montaña, Lagos de Moreno 47463, Mexico)

  • Alexander N. Pisarchik

    (Center for Biomedical Technology, Campus Montegancedo, Technical University of Madrid, 28223 Madrid, Spain
    Laboratory of Neuroscience and Cognitive Technology, Innopolis University, Universitetskaya Str. 1, 420500 Innopolis, Russia)

Abstract

A recurrent wavelet first-order neural network (RWFONN) is proposed to select a desired attractor in a multistable erbium-doped fiber laser (EDFL). A filtered error algorithm is used to classify coexisting EDFL states and train RWFONN. The design of the intracavity laser power controller is developed according to the RWFONN states with the block control linearization technique and the super-twisting control algorithm. Closed-loop stability analysis is performed using the boundedness of synaptic weights. The efficiency of the control method is demonstrated through numerical simulations.

Suggested Citation

  • Daniel A. Magallón & Rider Jaimes-Reátegui & Juan H. García-López & Guillermo Huerta-Cuellar & Didier López-Mancilla & Alexander N. Pisarchik, 2022. "Control of Multistability in an Erbium-Doped Fiber Laser by an Artificial Neural Network: A Numerical Approach," Mathematics, MDPI, vol. 10(17), pages 1-20, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:17:p:3140-:d:903951
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    References listed on IDEAS

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    1. Luis A. Vázquez & Francisco Jurado & Alma Y. Alanís, 2015. "Decentralized Identification and Control in Real-Time of a Robot Manipulator via Recurrent Wavelet First-Order Neural Network," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-12, May.
    2. Daniel A. Magallón & Carlos E. Castañeda & Francisco Jurado & Onofre A. Morfin, 2021. "Design of a Neural Super-Twisting Controller to Emulate a Flywheel Energy Storage System," Energies, MDPI, vol. 14(19), pages 1-23, October.
    3. Bei Chen & Xinxin Cheng & Han Bao & Mo Chen & Quan Xu, 2022. "Extreme Multistability and Its Incremental Integral Reconstruction in a Non-Autonomous Memcapacitive Oscillator," Mathematics, MDPI, vol. 10(5), pages 1-13, February.
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    Cited by:

    1. García-Grimaldo, Claudio & Campos-Cantón, Eric, 2023. "Exploring a family of Bernoulli-like shift chaotic maps and its amplitude control," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    2. Samuel Mardoqueo Afanador Delgado & José Luis Echenausía Monroy & Guillermo Huerta Cuellar & Juan Hugo García López & Rider Jaimes Reátegui, 2022. "Numerical and Experimental Data of the Implementation of Logic Gates in an Erbium-Doped Fiber Laser (EDFL)," Data, MDPI, vol. 8(1), pages 1-7, December.
    3. José Luis Echenausía-Monroy & Jonatan Pena Ramirez & Joaquín Álvarez & Raúl Rivera-Rodríguez & Luis Javier Ontañón-García & Daniel Alejandro Magallón-García, 2024. "A Recurrent Neural Network for Identifying Multiple Chaotic Systems," Mathematics, MDPI, vol. 12(12), pages 1-13, June.

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