分数阶四翼混沌系统滑模同步
Sliding Mode Synchronization of a Four-Wing Fractional-Order Chaotic Systems
DOI: 10.12677/AAM.2020.910196, PDF,    国家社会科学基金支持
作者: 时文俊, 丁艳风, 蔡国梁：郑州升达经贸管理学院，应用数学研究所，河南 郑州
关键词: 分数阶；四翼混沌系统；积分滑模；错位同步；Fractional-Order； Four-Wing Chaotic Systems； Integral Sliding Model； Dislocated Synchronization
摘要: 根据分数阶微积分的相关理论，采用自适应滑模控制方法，研究了不确定分数阶四翼混沌系统的滑模错位同步控制问题和比例积分滑模同步问题，给出了驱动–响应系统取得同步的充分条件，结果表明：选取适当的控制律和滑模面，分数阶四翼系统的驱动–响应系统取得混沌同步。
Abstract: The problem of sliding model dislocated synchronization and sliding mode synchronization with proportional integral of a class of uncertainty four-wing fractional-order chaotic systems is studied using self-adaptive sliding mode control approach based on fractional-order calculus theory. The sufficient conditions are arrived for the fractional-order systems sliding mode synchronization. The research conclusion illustrated the master-slave systems of four-wing fractional-order chaotic systems is sliding mode chaos synchronization under proper controllers and sliding mode surface.
文章引用：时文俊, 丁艳风, 蔡国梁. 分数阶四翼混沌系统滑模同步[J]. 应用数学进展, 2020, 9(10): 1693-1700. https://doi.org/10.12677/AAM.2020.910196

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