物理学报Issue(8)：1-7,7.DOI:10.7498/aps.62.080507
基于自适应滑模控制的不同维分数阶混沌系统的同步
The synchronization of fractional order chaotic systems with different orders based on adaptive sliding mode control∗
摘要
Abstract
In this paper, based on sliding mode control and adaptive control theory, the synchronization of two different fractional order chaotic systems is investigated. First, a fractional sliding surface with strong robustness is designed and a suitable adaptive sliding controller is constructed, then the error states of the systems are controlled to the sliding surface via the method to guarantee the synchronized behaviors between two fractional chaotic systems. Numerical simulations on the hyper Chen chaotic systems and Chen chaotic system are also carried out respectively. Simulation results show that the generalized errors tend to zero after a short time, and the effectiveness and feasibility of this method are well verified.关键词
分数阶混沌系统/异结构/自适应滑模控制/混沌同步Key words
fractional order chaotic systems/different-structure/adaptive sliding mode control/chaos synchroniza-tion引用本文复制引用
黄丽莲†,齐雪..基于自适应滑模控制的不同维分数阶混沌系统的同步[J].物理学报,2013,(8):1-7,7.基金项目
国家重点基础研究发展计划(批准号:2011CB606405)、国家自然科学基金(批准号:10974099)和中央高校基本科研业务费(批准号:65012031)资助的课题.*Project supported by the National Basic Research Program of China (Grant No.2011CB606405), the National Natural Science Foundation of China (Grant No.10974099), and the Fundamental Research Fund for the Central Universities, China (Grant No.65012031) （批准号:2011CB606405）
