基于两步控制策略的混沌系统全局有限时间同步  

Global finite-time synchronization of chaotic systems based on two-step control strategy

作　　者：林茜[1] 吴晓锋 陈云[3] LIN Qian;WU Xiao-feng;CHEN Yun(College of Electronic Engineering,Naval University of Engineering,Wuhan Hubei 430033,China;Mathematical and Statistical School,Minnan Normal University,Zhangzhou Fujian 363000,China;Department of Information Security,Naval University of Engineering,Wuhan Hubei 430033,China)

机构地区：[1]海军工程大学电子工程学院,湖北武汉430033 [2]闽南师范大学数学与统计学院,福建漳州363000 [3]海军工程大学信息安全系,湖北武汉430033

出　　处：《控制理论与应用》2018年第8期1194-1198,共5页Control Theory & Applications

基　　金：国防科技基金项目(2101133)资助~~

摘　　要：本文研究了无刷直流电机(brushless direct current motor,BLDCM)混沌系统的全局有限时间同步问题.利用混沌吸引子的有界性,提出了两步控制策略.首先不施加控制,让主–从混沌系统各自的轨迹收敛到各自的吸引子中,并估计了吸引子的界和收敛时间;再对收敛到吸引子的从系统施加状态误差反馈控制,根据有限时间稳定性理论,得出该控制器在满足一定条件时,两个相同的混沌系统可以快速达到有限时间同步.这种方法在主从系统的初始值相差很大的情况下可以大大减少控制成本,并且可以并估计同步时间.文章最后用仿真结果验证了所得判据的可行性和有效性.The global finite-time synchronization of brushless direct current motor(BLDCM)systems is investigated.Firstly,based on the boundedness of the chaotic attractors,the trajectories of the master and slave system would converge to their attractors respectively and the convergence time is estimated.Then the continuous feedback controller is proposed and based on the finite-time stability theory,the condition for the fast finite-time synchronization of two identical BLDCM systems is derived and the synchronization time is well estimated.By this method,the synchronization cost can be reduced especially when the difference of the initial values of the master and slave system are large.Finally,the effectiveness of the synchronization criterion is illustrated in numerical examples.

关 键 词：混沌同步 反馈控制器 两步控制 有限时间 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]