参数不确定混沌系统的自适应Backstepping控制  

Adaptive Backstepping Control of Chaotic System with Uncertain Parameters

作　　者：陈强[1] 任雪梅[1] 那靖[1] 

机构地区：[1]北京理工大学自动化学院,北京100081

出　　处：《北京理工大学学报》2011年第2期158-162,共5页Transactions of Beijing Institute of Technology

基　　金：国家自然科学基金资助项目(60474033;60974046)

摘　　要：针对一个新的参数不确定混沌系统,提出基于误差补偿的自适应Backstepping控制方法.通过在每一步虚拟控制设计中增加一个误差补偿项,补偿未知误差动态对系统的影响,获得更加平稳的混沌镇定过程,并提高参数辨识的速度.同时,基于Lyapunov定理给出严格的理论推导,证明混沌控制系统中所有信号的一致有界性.对比仿真结果表明,该方法具有更好的瞬时响应.An error-compensation based Backstepping control scheme is proposed for a new uncertain chaotic system.An error compensation item is developed in the virtual control design of each Backstepping step to compensate the effect of unknown error dynamics on control such that more smooth process of chaos stabilization is obtained,and the speed of parameter identification is improved.Based on Lyapunov theorem,all signals in the controlled chaotic system are guaranteed to be uniformly bounded.Simulation studies for contrast are provided and the results show that the proposed method can obtain better transient response performance.

关 键 词：不确定混沌系统 参数辨识 自适应控制 BACKSTEPPING设计 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]