分数阶Victor-Carmen混沌系统的自适应滑模控制  

Self-adaptive sliding mode control of fractional-order Victor-Carmen chaotic systems

作　　者：毛北行[1] 程春蕊[1] 

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：《山东大学学报（工学版）》2017年第4期31-36,共6页Journal of Shandong University（Engineering Science）

基　　金：国家自然科学青年基金资助项目(NSFC11501525);河南省科技厅软科学资助项目(142400411192);河南省高等学校青年骨干教师资助计划项目(2013GGJS-142);河南省高等学校重点科研资助项目(15B110011)

摘　　要：根据分数阶微积分的相关理论利用自适应滑模控制方法研究分数阶Victor-Carmen混沌系统的滑模同步控制问题,设计分数阶滑模函数并给出控制器的构造,利用Lyapunov稳定性理论给出严格的数学证明,得到系统取得滑模同步的两个充分性条件。研究结果表明:选取适当的控制律以及滑模面下,分数阶Victor-Carmen系统取得混沌同步。数值算例表明该方法有效。The problem of sliding mode synchronization of fractional-order Victor-Carmen systems was studied using self-adaptive sliding mode control approach based on fractional-order calculus theory. The fractional-order slding mode function was designed,the controllers and the strict proof in mathematics using Lyapunov stability theory were given.Two sufficient conditions were arrived for the fractional order systems getting sliding model synchronization. The research conclusion illustrated that fractional-order multi-scroll systems was sliding mode chaos synchronization under proper controllers and sliding mode surface. The numerical simulations demonsrrated the effectiveness of the proposed method.

关 键 词：分数阶 Victor-Carmen系统 滑模 混沌同步 

分 类 号：O482.4[理学—固体物理]