分数阶单摆系统的积分滑模同步  

Integral Sliding Mode Sychronization of Fractional-Order Simple Pendulum Systems

作　　者：王建军 毛北行 WANG Jian-jun;MAO Bei-xing(College of Science,Zhengzhou University of Aeronautics,Zhengzhou 450015,China)

机构地区：[1]郑州航空工业管理学院理学院,河南郑州450015

出　　处：《数学的实践与认识》2020年第17期217-222,共6页Mathematics in Practice and Theory

基　　金：国家自然科学青年基金(NSFC11501525)。

摘　　要：基于Lyapunov稳定性理论,运用积分滑模方法研究一类不确定整数阶、分数阶单摆系统的滑模同步问题,给出了切换函数和控制律的选取方法,研究表明,在一定条件下,构建适当的积分滑模面和控制器,单摆系统的主从系统取得滑模同步.The problem of intergral sliding mode Synchronization for a class of uncertainty integer-order and fractional-order simple pendulum systems were studied based on Lyapunov stability theory using integral sliding mode approach.In the paper switching functions and control laws were given out.The conclusion is arrived that master-slave systems of simple pendulum systems were intergral sliding mode synchronized under appropriate sliding mode surfaces and control laws.

关 键 词：混沌同步 单摆系统 动力学 

分 类 号：O314[理学—一般力学与力学基础] TP13[理学—力学]