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

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.

KEYWORDS:

• Hyperchaotic Lu system
• fractional-order system
• adaptive-sliding mode control
• single input signal

Disclosure statement

No potential conflict of interest was reported by the authors.