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

Heng Liu, Shenggang Li, Guanjun Li, Hongxing Wang

Abstract


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
results.

DOI: http://dx.doi.org/10.5755/j01.itc.46.2.13972


Keywords


Robust control, fractional-order financial system, fractional-order chaotic system, fractional-order adaptation law.

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Print ISSN: 1392-124X 
Online ISSN: 2335-884X