具有死区输入的分数阶混沌系统的有限时间同步（英文）  

Finite-time synchronization of fractional-order chaotic systems by considering dead-zone phenomenon

作　　者：田小敏[1] 费树岷[1] 柴琳[1] 

机构地区：[1]东南大学自动化学院复杂系统测量与控制教育部重点实验室,江苏南京210096

出　　处：《控制理论与应用》2015年第9期1240-1245,共6页Control Theory & Applications

基　　金：Supported by National Natural Science Foundation of China(61273119,61374038)

摘　　要：本文提出一种新型分数阶滑模控制方案来实现两个不同分数阶混沌系统的有限时间同步.首先,根据实际情况,在研究系统同步过程中,充分考虑死区非线性输入、参数不确定性、模型不确定性以及外界扰动对系统的影响,然后,采用Lyapunov稳定理论证明滑模阶段和趋近阶段均是有限时间收敛的,最后,给出一个仿真实例充分验证本文所提出控制策略的有效性和可行性.A novel fractional-order sliding-mode control（FSMC） scheme is proposed to realize the finite-time synchronization between two different fractional-order chaotic systems.We assume that both master system and slave system are perturbed by parameter uncertainties,model uncertainties and external disturbances.Moreover,the effects of deadzone nonhnearities in control inputs are also taken into consideration.Lyapunov＇s stability theory is applied to prove that both reaching phase and sliding phase are of finite-time convergence.A simulation example is provided to validate the effectiveness and feasibility of the proposed scheme.

关 键 词：有限时间同步 不确定分数阶混沌系统 滑模控制 Lyapunov稳定理论 

分 类 号：O415.5[理学—理论物理] O231[理学—物理]