具有非线性控制的Chua电路的混沌同步  

Chaotic synchronization of Chua’s circuits with nonlinear control

作　　者：付士慧[1] 裴利军[1] 

机构地区：[1]郑州大学数学系,郑州450001

出　　处：《物理学报》2010年第9期5985-5989,共5页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10702065和10672006)资助的课题~~

摘　　要：Chua电路是一个非光滑系统.本文通过广义哈密顿系统和观测器方法,将具有非线性控制的Chua电路的混沌同步问题转化成研究具有非线性控制的光滑系统的零解稳定性;进而利用滑模控制对该光滑系统的零解稳定性进行了研究,从而使得Chua电路达到了混沌同步.最后,将上述方法应用到具体系统,数值结果也表明其正确性.Chua’s circuits are non-smooth systems. At first,by the generalized Hamiltonian system and observer approach,the problem of the chaotic synchronization of Chua’s circuits with nonlinear control is transformed into that of the stability of zero solution of smooth error systems with nonlinear control. Then,the sliding mode control is applied to the error systems, which stabilizes their zero solutions,and the synchronization conditions are obtained. At last,the numerical results are shown to be in very good agreement with the theoretical analysis.

关 键 词：CHUA电路 混沌同步 广义哈密顿系统 滑模控制 

分 类 号：O415.5[理学—理论物理]