Volume 40 Issue 9
Sep.  2014
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Yu Mingzhe, Zhang Youan. Sliding mode adaptive synchronization for a class of fractional-order chaotic systems with uncertainties[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(9): 1276-1280. doi: 10.13700/j.bh.1001-5965.2013.0614(in Chinese)
Citation: Yu Mingzhe, Zhang Youan. Sliding mode adaptive synchronization for a class of fractional-order chaotic systems with uncertainties[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(9): 1276-1280. doi: 10.13700/j.bh.1001-5965.2013.0614(in Chinese)

Sliding mode adaptive synchronization for a class of fractional-order chaotic systems with uncertainties

doi: 10.13700/j.bh.1001-5965.2013.0614
  • Received Date: 25 Oct 2013
  • Publish Date: 20 Sep 2014
  • A fractional-order sliding mode adaptive control approach was introduced to synchronize chaos of a class of fractional-order chaotic systems with uncertainties. The effects of model uncertainties and external disturbances were fully taken into account. An appropriate robust fractional sliding mode adaptive controller was designed by adopting a fractional sliding surface with strong robustness, and using sliding mode adaptive control theory, Lyapunov stability theory and fractional-order linear systems stability theory. The control law can ensure the occurrence of the sliding motion, and achieve synchronization between the drive system and response system. The upper bound of uncertainties was not needed in the proposed controller. The designed controller is not complicated mathematically and easy to implement. The fractional adaptive sliding mode control approach can be applied to control a broad range of nonlinear fractional-order chaotic systems with uncertainties. Numerical simulation was presented to show the efficiency and applicability of the proposed control strategy.

     

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