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An Adaptive Tracking Control of Fractional-Order Chaotic Systems with Uncertain System Parameter

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  • Ping Zhou
  • Rui Ding

Abstract

An adaptive tracking control scheme is presented for fractional-order chaotic systems with uncertain parameter. It is theoretically proved that this approach can make the uncertain parameter fractional-order chaotic system track any given reference signal and the uncertain system parameter is estimated through the adaptive tracking control process. Furthermore, the reference signal may belong to other integer-orders chaotic system or belong to different fractional-order chaotic system with different fractional orders. Two examples are presented to demonstrate the effectiveness of the proposed method.

Suggested Citation

  • Ping Zhou & Rui Ding, 2011. "An Adaptive Tracking Control of Fractional-Order Chaotic Systems with Uncertain System Parameter," Mathematical Problems in Engineering, Hindawi, vol. 2011, pages 1-11, December.
    • Handle: RePEc:hin:jnlmpe:521549
    DOI: 10.1155/2011/521549
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