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Design of a single input control signal for fault-tolerant synchronization of fractional order hyperchaotic Lu system

Alireza Sabaghian, Saeed Balochian and Mohammad Alishahi

Cyber-Physical Systems, 2024, vol. 10, issue 2, 176-196

Abstract: The authors of this paper used an adaptive-sliding mode controller (A-SMC) to synchronise two fractional-order hyperchaotic (FOHC) Lu systems in the presence of external disturbance and bounded parametric uncertainty with unknown bounds. They employed the Riemann–Liouville fractional order and defined a new fractional-order sliding surface for the FOHC Lu system to determine a proper active control. Additionally, they utilised adaptive laws to estimate uncertainty bounds and unknown disturbance signals. The authors proved the stability of the closed-loop control system using the Lyapunov theory. Simulation results in MATLAB demonstrated the desirable performance of this method in the presence of disturbance and parametric uncertainty.

Date: 2024
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DOI: 10.1080/23335777.2023.2244966

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