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

Ping Zhou and Rui Ding

Mathematical Problems in Engineering, 2011, vol. 2011, 1-11

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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:521549

DOI: 10.1155/2011/521549

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