Lorenz系统与Rossler系统在限定时间内的滑模同步控制  

Finite-time Sliding Mode Synchronization Control of Lorenz System and Rossler System

作　　者：蒋楠[1] 魏毅强 JIANG Nan;WEI Yi-qiang(Department of Basic Course,Shanxi Radio and TV University,Taiyuan 030027,Shanxi,China;Institute of Mathematics,Taiyuan,University of Technology,Taiyuan 030001,Shanxi,China)

机构地区：[1]山西广播电视大学公共基础学院,山西太原030027 [2]太原理工大学数学学院,山西太原030001

出　　处：《山西师范大学学报（自然科学版）》2020年第1期27-33,共7页Journal of Shanxi Normal University(Natural Science Edition)

基　　金：2018年山西省高等学校科技创新项目(201804044);山西广播电视大学2016年度重点课题(SXKT201604).

摘　　要：针对含有外界干扰项的两个混沌系统之间的异结构滑模同步控制问题进行研究.基于Lyapunov稳定性理论和滑模控制理论,构造了一个具有较强鲁棒性的滑模面,设计了滑模控制律和参数自适应律,并证明了同步误差沿着新的滑模面比传统滑模面具有更快的收敛速度,实现了Lorenz系统和Rossler系统在限定时间内的滑模同步控制.最后选取适当参数,通过数值仿真验证了结论的正确性和有效性.The problem of synchronization between two different chaotic systems with external disturbances is studied.Based on Lyapunov stability theory and sliding mode control theory,a sliding surface with strong robustness,a sliding mode controller and a parameter adaptive law are designed,and the sliding surface with a faster convergence speed than conventional sliding surface is proved,the finite-time synchronization of Lorenz system and Rossler system is realized.Finally,by choosing proper parameters,numerical simulation provides illus?tration to show the effectiveness and feasibility of the results.

关 键 词：混沌系统 滑模控制 限定时间 同步 

分 类 号：O415.5[理学—理论物理]