分数阶不确定混沌系统自适应投影同步控制

Adaptive Projective Synchronization Control for Uncertain Fractional-Order Chaotic Systems

针对分数阶系统不确定项的上界和外部干扰项的上界均未知的情况,提出了一种自适应投影同步控制方法,证明了控制系统的稳定性,系统的稳态误差趋于零.对未知的上界进行了自适应估计,对鲁棒控制项的控制增益进行了优化.最后,以分数阶混沌系统数字保密通信为应用例,进行了数值仿真验证.

We propose an adaptive projective synchronization controller for fractional-order chaotic systems in the case of unknown upper bounds of parameter uncertainties and external disturbance. The unknown upper bounds are estimated and the robust control gain is optimized as well. It is proven that the error systems are stable and the steady state errors approach zeros. Finally,as an application example in fractional-order digital secure communication,numerical simulation is performed.