一种异结构分数阶混沌系统的同步滑模控制器设计  

Design of a Sliding Mode Controller for Synchronization of Fractional-Order Chaotic Systems with Different Structures

作　　者：魏静[1] 潘光[1] 

机构地区：[1]西北工业大学航海学院,西安710072

出　　处：《上海交通大学学报》2016年第6期849-853,860,共6页Journal of Shanghai Jiaotong University

基　　金：国家自然科学基金项目(51279165)资助

摘　　要：针对分数阶混沌系统异结构的同步问题,基于滑模控制理论和自适应控制理论设计了一个具有较强鲁棒性的分数阶积分滑模面,提出了一种自适应滑模控制器以实现三维分数阶混沌系统的异结构同步.同时,利用所设计的控制器实现了分数阶Liu系统与分数阶Arneodo系统的异结构的滑模控制同步,以及分数阶Chen系统与分数阶Liu系统的异结构混沌系统的滑模控制同步.数值模拟结果表明,所设计的控制器具有较好的有效性和可行性.Based on the sliding mode control and adaptive control theory,this paper investigated the synchronization of fractional-order chaotic systems with different structures.A fractional order integral sliding surface with strong robustness was designed,and an adaptive sliding controller was proposed for synchronization of fractional-order chaotic systems with different structures.Numerical simulations of the synchronization of Liu chaotic system and Arneodo chaotic system,and the synchronization of Chen chaotic system and Liu chaotic system were conducted respectively.The simulation results verify the validity and feasibility of the adaptive sliding controller.

关 键 词：分数阶混沌系统 混沌同步 异结构 滑模控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]