一个四维混沌系统的单状态变量控制

Single State Variable Control of a 4-dimensional Chaos System

根据一个四维混沌系统的具体结构和Lyapunov稳定性理论,分别在参数已知和未知的情况下,利用该四维混沌系统的第二个状态变量设计了简单的线性反馈控制器和自适应控制器,实现了该四维混沌系统不稳定的零平衡点的全局指数稳定和全局渐近稳定.数值仿真结果表明这些控制方法是有效的和可行的.

The authors have, according to a 4-dimensional chaos system＇s concrete structure and Lyapunov stabihty theory, under the conditions of known parameters and unknown parameters, designed simple lineal feedback controller and adaptive controller by use of the second state parameters of the 4-dimensional chaos system, realizing the global exponential stability and global asymptotic stability of the system＇s unstable zero-balance point. The data simulation has shown that these controlling methods are effective and applicable.