Fractional Order PID Control Law for Trajectory Tracking Using Fractional Order Time-Delay Recurrent Neural Networks for Fractional Order Complex Dynamical Systems

Authors

  • Joel Perez Padron Universidad Autónoma de Nuevo León
  • Jose P. Perez Universidad Autónoma de Nuevo León
  • Ruben Perez P. Universidad Autónoma de Nuevo León
  • Angel Flores H. Universidad Autónoma de Nuevo León

DOI:

https://doi.org/10.13053/cys-23-4-2754

Keywords:

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

Abstract

In this paper presents an extension to the theory on the analysisof stability of complex systems with time delay of fractionalorder, the previous study is based on the theory of functionsof Lyapunov-Krasovski and the Fractional Order PID controllaw. The analytical results are illustrated by the simulation offractional nonlinear systems interconnected with time delaywhich are forced to follow complex trajectories as chaoticsystems.Fractional complex dynamical systems, trajectory track-ing, Fractional Order Lyapunov-Krasovskii theory, FractionalOrder PID control law.

Author Biography

Joel Perez Padron, Universidad Autónoma de Nuevo León

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

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Published

2019-12-20

Issue

Vol. 23 No. 4 (2019): 23-4(2019)

Section

Articles

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