摘要
研究了分数阶化学反应混沌系统滑模同步问题.系统合理添加不确定项和外部扰动,通过设计滑模函数和控制器,以及自适应律,论证了分数阶化学反应混沌系统取得同步的充分条件.最后经数值仿真验证:在一定的假设条件下,通过设计自适应控制律,化学反应混沌系统的同步误差轨迹能够到达滑模面上.
Sliding mode synchronization of fractional order chemical reaction chaotic systems is studied.The sufficient conditions for synchronization of fractional order chemical reaction chaotic system are proved by designing sliding mode function,controller and adaptive laws.Finally,numerical simulation shows that under certain assumptions,the synchronization error trajectory of chemical reaction chaotic system can reach the sliding surface by designing adaptive control laws.
作者
李庆宾
程春蕊
毛北行
薛均晓
LI Qing-bin;CHENG Chun-rui;MAO Bei-xing;XUE Jun-xiao(School of Mathematics,Zhengzhou University of Aeronautics,Zhengzhou 450015,China;School of Software,Zhengzhou University,Zhengzhou 450002,China)
出处
《数学的实践与认识》
2021年第13期189-193,共5页
Mathematics in Practice and Theory
基金
国家自然科学青年基金(NSFC41906003)。
关键词
分数阶
滑模同步
化学反应
混沌
fractional order
sliding mode synchronization
chemical reaction
chaotic
