一类双指数型分数阶混沌系统的比例积分滑模同步  

PROPORTIONAL-INTEGRAL SLIDING MODE SYNCHRONIZATION OF A CLASS OF DOUBLE-EXPONENTIAL FRACTIONAL-ORDER CHAOTIC SYSTEM

作　　者：李庆宾[1] 薛均晓[2] LI Qingbin;XUE Junxiao(College of Mathematics,Zhengzhou University of Aeronautics,Zhengzhou 450015,China;School of Software,Zhengzhou University,Zhengzhou 450002,China)

机构地区：[1]郑州航空工业管理学院数学学院,郑州450015 [2]郑州大学软件学院,郑州450002

出　　处：《内蒙古农业大学学报（自然科学版）》2021年第2期104-107,共4页Journal of Inner Mongolia Agricultural University(Natural Science Edition)

基　　金：河南省自然科学基金(162300410262);河南省高等学校重点科研项目(18A413002)。

摘　　要：基于比例积分滑模方法研究了一类双指数型分数阶混沌系统的同步控制问题,设计了一种新颖的积分滑模面和控制律,得到了该系统取得同步的充分性条件,并给出严格的理论推导和数值,结果表明,在构造的切换面和控制律下,双指数型分数阶混沌系统的主从系统取得比例积分滑模同步。Based on the proportional integral sliding mode method,the synchronization control problem of a class of double-exponential fractional-order chaotic systems was studied in the paper.A novel integral sliding mode surface and control law were designed,and the sufficient conditions for the synchronization of the system were obtained.Strict theoretical derivation and numerical values were given as well.The results showed that the master-slave system of the double exponential fractional-order chaotic systems achieved the proportional-integral sliding mode synchronization under proper control laws and switching surfaces.

关 键 词：混沌同步 分数阶 双指数型混沌系统 积分滑模 

分 类 号：O482.4[理学—固体物理]