Fractional Complex Dynamical Systems for Trajectory Tracking using Fractional Neural Network via Fractional Order PiD Control Law
Document title: Fractional Complex Dynamical Systems for Trajectory Tracking using Fractional Neural Network via Fractional Order PiD Control Law
Journal: Computación y Sistemas
Database: PERIÓDICA
System number: 000457801
ISSN: 1405-5546
Authors: 1
1
2
2
Institutions: 1Universidad Autónoma de Nuevo León, Facultad de Ciencias Físico Matemáticas, Monterrey. México
2Universidad Autónoma de San Luís Potosí, Centro de Investigación y Estudios de Posgrado, México
Year:
Season: Ene-Mar
Volumen: 24
Number: 1
Pages: 349-357
Country: México
Language: Inglés
Document type: Artículo
Approach: Aplicado, descriptivo
English abstract In this paper the problem of trajectory tracking is studied. Based on the Lyapunov theory, a Fractional Order PID control law that achieves the global asymptotic stability of the tracking error between a fractional order recurrent neural network and a fractional order complex dynamical network is obtained. To illustrate the analytic results we present a tracking simulation of a dynamical network with each node being just one fractional order Lorenz's dynamical system and three identical fractional order Chen's dynamical systems
Disciplines: Ciencias de la computación
Keyword: Inteligencia artificial,
Procesamiento de datos,
Programación,
Sistemas dinámicos complejos fraccionarios,
Seguimiento de trayectorias,
Teoría de Lyapunov fraccionaria,
Ley de control PID de orden fraccionario
Keyword: Artificial intelligence,
Data processing,
Programming,
Fractional complex dynamical systems,
Trajectory tracking,
Fractional Lyapunov theory,
Fractional order PID control law
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