自适应法控制混沌系统到达定常态或周期态  

Controlling Chaotic System to Approach the-Stationary States and Periodic States with the Adaptive Method

作　　者：黄报星[1] 

机构地区：[1]江汉大学物理与信息工程学院,湖北武汉430056

出　　处：《江汉大学学报（自然科学版）》2003年第1期5-7,共3页Journal of Jianghan University：Natural Science Edition

摘　　要：用自适应控制法控制混沌Rossler系统和混沌Duffing系统,数值计算2个受控系统的Lyapunov指数,表明自适应法可控制混沌Rossler系统到达确定的定常态,不能控制混沌Duffing系统到达定常态而可控制到一系列周期态,并用Matlab进行数值仿真,观察和验证受控Rossler系统和受控Duffing系统的可控性和稳定性。The chaotic Rossler system and Duffing system are controlled with the adaptive method. The Lyapunov exponents of two controlled systems are calculated. It shows that the chaotic Rossler system can be controlled to approach the stationary states, the chaotic Duffing system can't be controlled to the stationary state but can to the periodic states. The controllability and stability of two controlled systems are observed and verifed in the numerical simulations.

关 键 词：混沌Rossler系统 混沌Duffing系统 混沌控制 自适应控制 定常态 周期态 可控性 稳定性 

分 类 号：TP273.2[自动化与计算机技术—检测技术与自动化装置] O415.5[自动化与计算机技术—控制科学与工程]