基于替代变量正弦反馈控制的混沌陀螺仪系统的有限时间同步  

Finite-time synchronization of chaotic gyrostat system based on variable substitution and sinusoidal feedback control

作　　者：陈云[1] 张昌宏[1] 罗芳[1] 王怀龙[2] CHEN Yun;ZHANG Chang-hong;LUO Fang;WANG Huai-long(Dept.of Information Security,Naval Univ.of Engineering,Wuhan 430033,China;Unit No.91655,Beijing 100036,China)

机构地区：[1]海军工程大学信息安全系 [2]91655部队

出　　处：《海军工程大学学报》2018年第4期34-40,共7页Journal of Naval University of Engineering

基　　金：国家自然科学基金资助项目(11202239);中国博士后科学基金资助项目(2012M521890);国家部委基金资助项目(2101133)

摘　　要：通过设计一种结构简单、连续、可降维的有限时间控制器——替代变量正弦反馈控制器,构造了该控制器下混沌陀螺仪系统的主从有限时间同步框架,并将有限时间同步问题转化为误差系统的有限时间稳定性问题;然后,应用有限时间稳定性理论,证明了两个混沌陀螺仪系统达到有限时间同步的充分性判据,并推导了同步时间的估计表达式;最后,通过数值仿真验证了所得同步判据的有效性。By designing a simple,continuous and dimension-reducible finite-time controller,i.e.variable substitution and sinusoidal feedback controller,the master-slave finite-time synchronization scheme for the chaotic gyrostat systems under this controller is constructed and the finite-time synchronization problem is transformed to the finite-time stability problem.And then,by applying the finite-time stability theory,some sufficient criteria for the finite-time synchronization of two chaotic gyrostat systems is proved and the estimated expression for the synchronization time is deduced.Finally,the effectiveness of the obtained criteria is verified by numerical simulations.

关 键 词：混沌陀螺仪系统 有限时间同步 替代变量正弦反馈控制 

分 类 号：O231.2[理学—运筹学与控制论]