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

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

Abstract This paper presents an extension to the theory on the analysis of stability of complex systems with time delay of fractional order, the previous study is based on the theory of functions of Lyapunov-Krasovski and the Fractional Order PID control law. The analytical results are illustrated by the simulation of fractional nonlinear systems interconnected with time delay which are forced to follow complex trajectories as chaotic systems.

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Main Authors: Perez P.,Joel, Perez,Jose P., Perez P.,Ruben, Flores H.,Angel
Format: Digital revista
Language:English
Published: Instituto Politécnico Nacional, Centro de Investigación en Computación 2019
Online Access:http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S1405-55462019000401583
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spelling oai:scielo:S1405-554620190004015832021-08-05Fractional Order PID Control Law for Trajectory Tracking Using Fractional Order Time-Delay Recurrent Neural Networks for Fractional Order Complex Dynamical SystemsPerez P.,JoelPerez,Jose P.Perez P.,RubenFlores H.,Angel Fractional complex dynamical systems trajectory tracking Fractional Order Lyapunov-Krasovskii theory Fractional Order PID control law Abstract This paper presents an extension to the theory on the analysis of stability of complex systems with time delay of fractional order, the previous study is based on the theory of functions of Lyapunov-Krasovski and the Fractional Order PID control law. The analytical results are illustrated by the simulation of fractional nonlinear systems interconnected with time delay which are forced to follow complex trajectories as chaotic systems.info:eu-repo/semantics/openAccessInstituto Politécnico Nacional, Centro de Investigación en ComputaciónComputación y Sistemas v.23 n.4 20192019-12-01info:eu-repo/semantics/articletext/htmlhttp://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S1405-55462019000401583en10.13053/cys-23-4-2754
institution SCIELO
collection OJS
country México
countrycode MX
component Revista
access En linea
databasecode rev-scielo-mx
tag revista
region America del Norte
libraryname SciELO
language English
format Digital
author Perez P.,Joel
Perez,Jose P.
Perez P.,Ruben
Flores H.,Angel
spellingShingle Perez P.,Joel
Perez,Jose P.
Perez P.,Ruben
Flores H.,Angel
Fractional Order PID Control Law for Trajectory Tracking Using Fractional Order Time-Delay Recurrent Neural Networks for Fractional Order Complex Dynamical Systems
author_facet Perez P.,Joel
Perez,Jose P.
Perez P.,Ruben
Flores H.,Angel
author_sort Perez P.,Joel
title Fractional Order PID Control Law for Trajectory Tracking Using Fractional Order Time-Delay Recurrent Neural Networks for Fractional Order Complex Dynamical Systems
title_short Fractional Order PID Control Law for Trajectory Tracking Using Fractional Order Time-Delay Recurrent Neural Networks for Fractional Order Complex Dynamical Systems
title_full Fractional Order PID Control Law for Trajectory Tracking Using Fractional Order Time-Delay Recurrent Neural Networks for Fractional Order Complex Dynamical Systems
title_fullStr Fractional Order PID Control Law for Trajectory Tracking Using Fractional Order Time-Delay Recurrent Neural Networks for Fractional Order Complex Dynamical Systems
title_full_unstemmed Fractional Order PID Control Law for Trajectory Tracking Using Fractional Order Time-Delay Recurrent Neural Networks for Fractional Order Complex Dynamical Systems
title_sort fractional order pid control law for trajectory tracking using fractional order time-delay recurrent neural networks for fractional order complex dynamical systems
description Abstract This paper presents an extension to the theory on the analysis of stability of complex systems with time delay of fractional order, the previous study is based on the theory of functions of Lyapunov-Krasovski and the Fractional Order PID control law. The analytical results are illustrated by the simulation of fractional nonlinear systems interconnected with time delay which are forced to follow complex trajectories as chaotic systems.
publisher Instituto Politécnico Nacional, Centro de Investigación en Computación
publishDate 2019
url http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S1405-55462019000401583
work_keys_str_mv AT perezpjoel fractionalorderpidcontrollawfortrajectorytrackingusingfractionalordertimedelayrecurrentneuralnetworksforfractionalordercomplexdynamicalsystems
AT perezjosep fractionalorderpidcontrollawfortrajectorytrackingusingfractionalordertimedelayrecurrentneuralnetworksforfractionalordercomplexdynamicalsystems
AT perezpruben fractionalorderpidcontrollawfortrajectorytrackingusingfractionalordertimedelayrecurrentneuralnetworksforfractionalordercomplexdynamicalsystems
AT floreshangel fractionalorderpidcontrollawfortrajectorytrackingusingfractionalordertimedelayrecurrentneuralnetworksforfractionalordercomplexdynamicalsystems
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