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

الملخص EN

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.