摘要
针对一类驱动系统和响应系统均存在未知干扰的混沌系统的修正函数投影滞后同步的问题,提出了一种修正函数投影滞后同步方案。基于Lyapunov稳定性定理和自适应控制方法,设计了两种响应系统,构建了自适应控制器和干扰控制强度更新规则,在系统不确定干扰未知的情况下,实现了混沌系统的修正函数投影滞后同步,干扰控制强度也可以自适应确定。最后以一个超混沌系统为例,验证了理论分析的正确性、有效性和鲁棒性。控制器设计简单实用,在保密通信等领域具有广阔的应用前景。
In the paper,modified function projective lag synchronization （MFPLS） of a class of chaotic systems of which the drive system and response system are all subjected to unknown external disturbance was investigated,and a general theorem of MFPLS was introduced.Based on Lyapunov stability theorem and adaptive control method,two different response systems were given,and adaptive controller and disturbance controlling strength update law were constituted.MFPLS of chaotic system was achieved under the condition of unknown system uncertain disturbances,and disturbance controlling strength could also be estimated automatically.Finally,numerical simulation results of a hyperchaotic system verify the validity,effectiveness and robustness of our theoretical results.The designed controller is simple and practical,and has broad application in secure communication and other fields.
出处
《计算机科学》
CSCD
北大核心
2014年第4期283-286,301,共5页
Computer Science
基金
国家自然科学基金(61004006
61203094)资助
关键词
混沌系统
修正函数投影滞后同步
干扰控制强度
Chaotic system
Modified function projective lag synchronization
Disturbance controlling strength
