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基于主动自适应滑模控制的超混沌系统同步
引用本文:颜闽秀,郑小帆. 基于主动自适应滑模控制的超混沌系统同步[J]. 沈阳大学学报:自然科学版, 2014, 26(6): 479-485
作者姓名:颜闽秀  郑小帆
作者单位:沈阳化工大学信息工程学院,辽宁沈阳,110142
基金项目:国家自然科学基金资助项目,国家科技支撑计划资助项目
摘    要:针对一类带不确定性和外界扰动的超混沌系统的同步和反同步问题进行了研究.考虑到驱动系统与响应系统所受干扰和不确定性的上界未知的情形,将主动滑模与自适应控制相结合,利用参数自适应更新律对未知参数进行了估计.利用连续函数来替代控制律中的非连续符号函数,解决传统滑模控制器的抖动问题.利用Lyapunov稳定性理论证明了误差系统的渐近稳定性,数值仿真结果验证了设计的控制器的有效性.

关 键 词:主动自适应滑模  超混沌同步  反同步  消抖

Active Adaptive Sliding Mode Control for Synchronization of Hyperchaotic Systems
Yan Minxiu,Zheng Xiaofan. Active Adaptive Sliding Mode Control for Synchronization of Hyperchaotic Systems[J]. Journal of Shenyang University, 2014, 26(6): 479-485
Authors:Yan Minxiu  Zheng Xiaofan
Affiliation:(College of Information Engineering, Shenyang University of Chemical Technology, Shenyang 110142, China)
Abstract:The synchronization of hyperchaotic systems with uncertainties and external disturbances is investigated and the unknown uppers of uncertainties and disturbances are considered both in the drive system and the response system.An active adaptive sliding mode controller is designed.The adaptive updating law is designed to estate the bound of the uncertainties and external disturbances.The continuous function is used to replace the discontinuous sign function in the control law and hence a control signal is smooth without chattering action.Moreover,the global asymptotic stability of the error dynamics is derived in the Lyapunov sense.Simulation studies show the proposed controllers can get good control effects.
Keywords:active adaptive sliding mode  hyperchaotic synchronization  anti-synchronization  chattering elimination
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