Effective stabilization of fractional-order Genesio-Tesi chaotic system using advanced fractional sliding mode control techniques

This paper explores the application of fractional sliding mode control to stabilize the Genesio-Tesi chaotic system, which is known for its complex dynamics and sensitivity to initial conditions. The control strategy is designed to handle system uncertainties and external disturbances, ensuring that the system's states asymptotically track desired trajectories. By leveraging the advantages of fractional calculus, the proposed control law achieves improved tracking performance, reduced control signal amplitude, and faster settling times compared to traditional integer-order methods. The effectiveness of the approach is demonstrated through a numerical example, where the system states converge to the desired states, showcasing the potential of fractional sliding mode control in managing chaotic systems. The theoretical framework is supported by Lyapunov stability analysis, providing a rigorous basis for the control strategy's robustness and convergence properties. Overall, this work highlights the benefits of fractional calculus in control systems and offers a promising approach for stabilizing complex chaotic dynamics.

کلیدواژه ها:

Chaotic system ، Fractional-order sliding surface ، Genesio-Tesi chaos system