Fractional Complex Dynamical Systems for Trajectory Tracking using Fractional Neural Network via Fractional Order PID Control Law

Authors

  • Joel Perez Padron Universidad Autónoma de Nuevo León, Facultad de Ciencias Físico Matemáticas
  • Jose P. Perez Universidad Autónoma de Nuevo León, Facultad de Ciencias Físico Matemáticas
  • Cesar Fernando Mendez Barrios Universidad Autónoma de San Luis Potosí, Centro de Investigación y Estudios de Posgrado, Facultad de Ingeniería
  • Emilio J. González Galván Universidad Autónoma de San Luis Potosí, Centro de Investigación y Estudios de Posgrado, Facultad de Ingeniería

DOI:

https://doi.org/10.13053/cys-1-1-2836

Keywords:

Fractional complex dynamical systems, trajectory tracking, fractional Lyapunov theory, fractional order PID control law

Abstract

In this paper the problem of trajectory tracking is studied.Based on the Lyapunov theory, a Fractional Order PIDcontrol lawthat achieves the global asymptotic stability of the trackingerror between a fractional order recurrent neural network anda fractional order complex dynamical network is obtained. Toillustrate the analytic results we present a tracking simulationof a dynamical network with each node being just one frac-tional order Lorenz´ s dynamical system and three identicalfractional order Chens dynamical systems.

Author Biography

Joel Perez Padron, Universidad Autónoma de Nuevo León, Facultad de Ciencias Físico Matemáticas

Profesor de tiempo completo en la Facultad de Ciencias Físico-Matemáticas de la Universidad Autonóma de Nuevo León

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Published

2020-03-25

Issue

Vol. 24 No. 1 (2020): 24(1)2020

Section

Articles

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