混沌系统自适应追踪控制新方法  

A new method of adaptive tracking control for chaotic system

作　　者：罗小华[1] 李华青[2] 陈秋华[2] 

机构地区：[1]重庆邮电大学通信与信息工程学院,重庆400065 [2]重庆邮电大学数理学院,重庆400065

出　　处：《物理学报》2009年第11期7532-7538,共7页Acta Physica Sinica

基　　金：重庆市教育委员会基金(批准号:KJ070511)资助的课题~~

摘　　要：提出一种混沌系统自适应追踪控制任意参考信号的新方法.该方法是通过预先设计出补偿控制器将混沌系统状态变量对参考信号的追踪控制问题转化为同结构混沌系统状态变量的自适应同步问题,再通过设计出自适应控制器,使同结构混沌系统全局渐近达到同步,追踪控制器为补偿控制器和自适应控制器的代数和.基于Lyapunov稳定性原理,理论上严格证明了利用本方法所设计追踪控制器的正确性.最后,以超混沌Chen系统为控制对象,利用本方法设计出追踪控制器完成了对不动点,正、余弦信号,同结构混沌系统状态变量,异结构混沌系统状态变量的追踪控制而且响应时间短,从而表明了本方法的有效性.In this paper, a new strategy of adaptive tracking control of chaotic system is proposed.By designing the compensatory controller in advance, this method transforms the tracking control problem of reference signals which are tracked by chaotic system states variables into the adaptive synchronization problem of identical-structured chaotic system variables. Tracking controller is equal to the sum of compensatory controller and adaptive controller.Truth of tracking controller designed by proposed strategy is proved theorically based on Lyapunov stability theory.Finally, taking hyperchaotic Chen system as controlled object, tracking controllers are designed in this way to track fixed points, sine signals, cosine signals, identical-structured chaotic system state variables and different-structured chaotic system state variables. The response time is very short, showing the effectiveness of the strategy.

关 键 词：自适应追踪控制 补偿控制器 自适应控制器 追踪控制器 

分 类 号：O415.5[理学—理论物理] TP273.2[理学—物理]