Synchronization of Fractional-Order Chaotic Systems with Model Uncertainty and External Disturbance

This paper is concerned with complete synchronization of fractional-order chaotic systems with both model uncertainty and external disturbance. Firstly, we propose a new dynamic feedback control method for complete synchronization of fractional-order nominal systems (without both uncertainty and dis...

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Detalles Bibliográficos
Autores principales: Rongwei Guo, Yaru Zhang, Cuimei Jiang
Formato: Artículo
Lenguaje:English
Publicado: MDPI AG 2021-04-01
Colección:Mathematics
Materias:
Acceso en línea:https://www.mdpi.com/2227-7390/9/8/877
Descripción
Sumario:This paper is concerned with complete synchronization of fractional-order chaotic systems with both model uncertainty and external disturbance. Firstly, we propose a new dynamic feedback control method for complete synchronization of fractional-order nominal systems (without both uncertainty and disturbance). Then, a new uncertainty and disturbance estimator (UDE)-based dynamic feedback control method for the fractional-order systems with both uncertainty and disturbance is presented, by which the synchronization problem of such fractional-order chaotic systems is realized. Finally, the fractional-order Lorenz system is used to demonstrate the practicability of the proposed results.
ISSN:2227-7390