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针对一类参数不确定统一混沌系统的同步问题,提出一种脉冲同步方法。该方法采用响应系统与驱动系统状态变量误差的线性反馈作为脉冲控制信号,驱动两个统一混沌系统达到全局渐近同步。基于脉冲微分方程理论,给出了统一混沌系统一组新的全局渐近同步判据,特别地,当脉冲间距与脉冲控制增益相等时,给出了更为简单和实用的同步判据,同时讨论了脉冲间距对同步性能的影响,仿真结果验证了方法的有效性。
Aiming at the synchronization problem of a unified chaotic system with uncertain parameters, a pulse synchronization method is proposed. This method uses the linear feedback of the error between the response system and the drive system as a pulse control signal to drive two unified chaotic systems to achieve global asymptotic synchronization. Based on the theory of impulsive differential equations, a new set of global asymptotic synchronization criterion for a unified chaotic system is given. Especially, when the pulse spacing is equal to the impulse control gain, a more simple and practical synchronization criterion is given, meanwhile, The effect of pulse spacing on the synchronization performance is discussed. The simulation results verify the effectiveness of the method.