4.7 Article

Robust synchronization of two different uncertain fractional-order chaotic systems via adaptive sliding mode control

Journal

NONLINEAR DYNAMICS
Volume 76, Issue 3, Pages 1761-1767

Publisher

SPRINGER
DOI: 10.1007/s11071-014-1244-1

Keywords

Chaos; Synchronization; Fractional calculus; Sliding mode control

Funding

  1. National Natural Science Foundation of China [60974051, 61273144]
  2. Natural Science Foundation of Beijing [4122071]
  3. Fundamental Research Funds for the Central Universities [12MS143]
  4. Beijing Municipal Commission of Education
  5. Beijing Foundation

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This paper proposes a novel robust fractional-order sliding mode approach for the synchronization of two fractional-order chaotic systems in the presence of system parameter uncertain and external disturbance. An adaptive sliding mode controller is constructed resorted to the designed fractional integral type sliding surface. Based on the Lyapunov stability theorem, the stability of the closed error system is proved. Finally, a numerical simulation is performed to illustrate the effectiveness of the proposed method.

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