Robust Adaptive Control for Fractional-order Financial Chaotic Systems with System Uncertainties and External Disturbances

  • Heng Liu Shaanxi Normal University
  • Shenggang Li Shaanxi Normal University
  • Guanjun Li Huainan Normal University
  • Hongxing Wang Huainan Normal University
Keywords: Robust control, fractional-order financial system, fractional-order chaotic system, fractional-order adaptation law.


In this paper, robust adaptive control  for uncertain fractional-order financial chaotic systems with bounded unknown external disturbance is studied. By utilizing the fractional-order extension of the classical Lyapunov stability methods, an adaptive controller is presented for controlling fractional-order financial  chaotic system.  Quadratic Lyapunov function is employed in the stability analysis, and fractional-order adaptation laws  are designed to update controller parameters online.
The proposed controller  can ensure that  the system states converge to the origin asymptotically and all signals in the closed-loop system remain bounded.  Finally, simulation results are presented to confirm our theoretical