Lorenz系统族的追踪控制

Tracking Control of Lorenz Chaotic Systems

对Lorenz混沌系统,Chen系统,Lü系统设计了一个统一的控制器,实现对这三个混沌系统的追踪控制,利用Barbalat定理证明这三个混沌系统均可以得到有效的控制,受控系统可以追踪控制到任意给定的参考信号,运用Matlab软件进行数值仿真,验证了这三个混沌系统均可以得到快速有效的控制。

Based on the Lorenz chaos system,the Chen system and the Lü system,a unified controller was designed,which implemented the tracing control of these three chaos systems.By using the Barbalat theorem,these three chaos systems were proved to be likely under the effective control,and the controlled system may trace the reference signal whichever was assigned randomly.By using Matlab software the numerical simulation experiment was done.The simulation result verifie these three chaos systems are controlled effectively.