基于新型滑模面分数阶Like-Bao系统自适应滑模同步  

Self-adaptive Sliding Mode Synchronization of Fractional-Order Like-Bao System Based on New Type Sliding Mode Surfaces

作　　者：金爱云[1] 毛北行[1] JIN Ai-yun;MAO Bei-xing(College of Mathematics,Zhengzhou University of Aeronautics,Zhengzhou 450015,China)

机构地区：[1]郑州航空工业管理学院数学学院,河南郑州450015

出　　处：《数学的实践与认识》2020年第12期193-200,共8页Mathematics in Practice and Theory

基　　金：国家自然科学青年基金(NSFC11501525)。

摘　　要：基于新型滑模面研究分数阶Like-Bao系统的自适应滑模同步,设计了一种新型滑模面,满足滑模稳定性条件,能够到达滑模面上时误差趋近于零,从而获得分数阶Like-Bao系统取得自适应滑模同步的充分条件,结论表明:一定条件下不确定分数阶Like-Bao系统取得自适应滑模同步.Self-adaptive sliding mode synchronization of fractional order Like-Bao system was studied based on new type sliding mode surfaces in the paper.A new type sliding mode surfaces were designed which meet with the condition of sliding mode stability and could converge to zero.Sufficient conditions were acquired for self-adaptive sliding mode synchronization of Like-Bao systems.Conclusion demonstrated that fractional-order Likebao systems were self-adaptive sliding mode synchronization under certain conditions.

关 键 词：新型滑模 分数阶 Like-Bao系统 同步 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]