分数阶不确定混沌系统鲁棒投影同步控制

基于滑模变结构控制理论,选取了一种分数阶滑模面,针对分数阶系统不确定项上界已知情况,提出了一种鲁棒控制方法,将这种控制方法与范数不等式相结合对系统的稳定性进行了分析。该控制器能够很好地抑制不确定因素对误差系统的影响,能够快速实现驱动系统与响应系统的同步。最后,将该鲁棒控制策略应用于分数阶混沌系统数字保密通信中,数值仿真验证了该方案的正确性和有效性。

Robust Projective Synchronization Control of Uncertain Fractional-Order Chaotic Systems

Based on sliding mode variable structure control theory, a fractional-order sliding motion was selected. Whenthe upper bounds of uncertainties were known, a robust controller was proposed. The controller could suppress the affectsof uncertain factors on error system effectively, and could quickly realize synchronization between the drive system and theresponse system. Finally, the robust control scheme had been used in fractional-order digital secure communication. Nu.merical simulation was presented to show the efficiency and applicability of the proposed robust control strategy.