Nonlinear Dynamics

, Volume 83, Issue 4, pp 1855–1866 | Cite as

Adaptive sliding mode synchronization for a class of fractional-order chaotic systems with disturbance

Original Paper


This paper studies the fractional-order disturbance observer (FODO)-based adaptive sliding mode synchronization control for a class of fractional-order chaotic systems with unknown bounded disturbances. To handle unknown disturbances, the nonlinear FODO is explored for the fractional-order chaotic system. By choosing the appropriate control gain parameter, the disturbance observer can approximate the disturbance well. On the basis of the sliding mode control technique, a simple sliding mode surface is defined. A synchronization control scheme incorporating the introduced sliding mode surface and the designed disturbance observer is then developed. Under the control of the synchronization scheme, a good synchronization performance is realized between two identical fractional-order chaotic systems with different initial conditions. Finally, the numerical simulation results illustrate the effectiveness of the developed synchronization control scheme for fractional-order chaotic systems in the presence of external disturbances.


Fractional-order chaotic systems Synchronization control Fractional-order disturbance observer Sliding mode control 



This research is supported by National Natural Science Foundation of China (No. 61573184), Jiangsu Natural Science Foundation of China (No. SBK20130033), Program for New Century Excellent Talents in University of China (No. NCET-11-0830) and Specialized Research Fund for the Doctoral Program of Higher Education (No. 20133218110013).


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Copyright information

© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  1. 1.College of Automation EngineeringNanjing University of Aeronautics and AstronauticsNanjingChina
  2. 2.Jiangsu Key Laboratory of Internet of Things and Control TechnologiesNanjing University of Aeronautics and AstronauticsNanjingChina

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