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

Author

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  • Alireza Sabaghian
  • Saeed Balochian
  • Mohammad Alishahi

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.

Suggested Citation

  • Alireza Sabaghian & Saeed Balochian & Mohammad Alishahi, 2024. "Design of a single input control signal for fault-tolerant synchronization of fractional order hyperchaotic Lu system," Cyber-Physical Systems, Taylor & Francis Journals, vol. 10(2), pages 176-196, April.
    • Handle: RePEc:taf:tcybxx:v:10:y:2024:i:2:p:176-196
    DOI: 10.1080/23335777.2023.2244966
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