不确定参数分数阶Lorenz混沌系统的混合函数投影同步

Hybrid Function Projective Synchronization for Fractional-Order Lorenz Chaotic System with Uncertain Parameters

针对不确定参数的分数阶混沌系统的同步问题,提出了一种自适应混合函数投影同步设计方案.基于分数阶系统稳定性理论,设计自适应控制器和参数更新律,实现分数阶Lorenz混沌系统的混合函数投影同步,并完成对响应系统所有不确定参数的辨识.数值仿真验证了该控制器和参数更新规则的有效性和正确性.

To deal with the synchronization problem in fractional-order chaotic system with uncertain parameters, an adaptive hybrid function projective synchronization scheme is proposed. Based on the stability theory of fractional-order systems, the adaptive controllers and the parameter update laws are derived to make the fractional-order Lorenz chaotic system achieve hybrid function projective synchronization. Furthermore, all uncertain parameters of the response system are identified simultaneously. Numerical simulations are given to demonstrate the effectiveness of the adaptive controllers and the parameter update laws.