Open AccessOn The Anti-Synchronization Of Fractional-Order Chaotic And Hyperchaotic Systems Via Modified Adaptive Sliding-Mode Control
Author(s) -
A. Othman Almatroud
Publication year - 2021
Publication title -
türk bilgisayar ve matematik eğitimi dergisi
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.218
H-Index - 3
ISSN - 1309-4653
DOI - 10.17762/turcomat.v12i6.2429
Subject(s) - control theory (sociology) , synchronization (alternating current) , lyapunov stability , controller (irrigation) , sliding mode control , mode (computer interface) , chaotic , computer science , adaptive control , stability (learning theory) , scheme (mathematics) , synchronization of chaos , mathematics , control (management) , nonlinear system , artificial intelligence , physics , computer network , mathematical analysis , channel (broadcasting) , quantum mechanics , machine learning , agronomy , biology , operating system
This paper investigates the anti–synchronization problem between two different fractional-order chaotic and hyperchaotic systems using the modified adaptive sliding mode control technique in the presence of uncertain system parameters. To construct the proposed scheme, a simple sliding surface is first designed. Then, the modified adaptive sliding-mode controller is derived to guarantee the occurrence of sliding motion. Based on the Lyapunov stability theory, the adaptive controllers with corresponding parameter update laws are designed such that the different chaotic and hyperchaotic systems can be anti–synchronized asymptotically. Finally, numerical simulations are presented to demonstrate the efficiency of the proposed anti–synchronization scheme.