新四翼超混沌系统的线性反馈控制  

Linear Feedback Control of the New Four-wing Hyperchaotic System

作　　者：李德奎 LI Dekui(Department of Science Teaching,Dingxi Campus,Gansu University of Chinese Medicine,Dingxi 743000,China)

机构地区：[1]甘肃中医药大学定西校区理科教学部,甘肃定西743000

出　　处：《贵州大学学报（自然科学版）》2021年第4期32-35,44,共5页Journal of Guizhou University:Natural Sciences

基　　金：国家自然科学基金资助项目(61863022);甘肃省自然科学基金资助项目(21JR1RA259);甘肃省高等学校创新基金资助项目(2020A-191);甘肃中医药大学科学研究与创新基金资助项目(2019KCYB-10)。

摘　　要：为了奠定新四翼超混沌系统应用的理论基础。首先,比较新四翼超混沌系统与一些经典混沌或超混沌系统的最大Lyapunov指数,结果新四翼超混沌系统的最大Lyapunov指数值最大,说明新四翼超混沌系统具有更强的混沌特性;其次,对新四翼超混沌变量y和u进行线性反馈控制,应用Lyapunov函数方法,发现系统的所有状态变量能够指数稳定到原点,并系统具有很大的控制域;最后,数值仿真表明在控制域内任取一点,设计的线性反馈控制器是有效的。In order to lay theoretical foundation for the application of new four-wing hyperchaotic systems.Firstly,the largest Lyapunov exponents of the new four-wing hyperchaotic systems are compared with the largest Lyapunov exponents of some classical chaotic or hyperchaotic systems,it is found that the largest Lyapunov exponent of the new four-wing hyperchaotic system is the largest,which shows that the new four-wing hyperchaotic system has stronger chaotic characteristics.Secondly,when state variables y and u of the new four-wing hyperchaotic system are linear feedback controlled,by using the Lyapunov function method,it is found that all the state variables of the system can be exponentially stable to the origin and the system has a large control domain.Finally,the numerical simulation shows that choosing any point in the control domain to design the linear feedback controller is effective.

关 键 词：新四翼超混沌系统 LYAPUNOV函数 线性反馈控制 指数稳定 

分 类 号：O415.5[理学—理论物理]