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四维混沌系统的递归反步非线性控制
引用本文:张鑫鹏,李相锋,陈学军,王震.四维混沌系统的递归反步非线性控制[J].自动化技术与应用,2010,29(6):10-12,16.
作者姓名:张鑫鹏  李相锋  陈学军  王震
作者单位:1. 中国兵器工业集团第二0二研究所,陕西,咸阳,712099
2. 永济新时速电机电器有限责任公司,山西,永济,044502
3. 西京学院基础部,陕西,西安,710123
基金项目:西京学院科研基金项目 
摘    要:针对四维超混沌Lü系统,Lorenz-Stenflo(LS)系统,Qi混沌系统,利用递归反步非线性控制方法,对系统的各状态进行了控制。同时对每个系统,运用Lyapunov稳定性理论,并通过V函数对受控系统进行了分析。最后通过数值示例进行仿真,对文中论述进行了强有力的验证。

关 键 词:递归反步  混沌系统  非线性控制

Recursive Backstepping Nonlinear Control of 4D Chaotic Systems
ZHANG Xin-peng,LI Xiang-feng,CHEN Xue-jun,WANG Zhen.Recursive Backstepping Nonlinear Control of 4D Chaotic Systems[J].Techniques of Automation and Applications,2010,29(6):10-12,16.
Authors:ZHANG Xin-peng  LI Xiang-feng  CHEN Xue-jun  WANG Zhen
Affiliation:1.202 Institute of China Ordnance Industry,Xianyang 712099 China;2.Yongji Xinshisu Electric Equipment Limited Liability Company,Yongji 044502 China;3.Department of Foundation Courses,Xijing College,Xi’an 710123 China)
Abstract:This paper examines chaos control of three four-dimensional chaotic systems,namely: hyperchaotic Lü system,Lorenz–Stenflo(LS) system and Qi systems.The control analysis is based on recursive backstepping design technique and it is shown to be effective for the 4D systems considered.At the same time,analyzes the controlled system by V function using the theory of Lyapunov stability.Finally,gives verification for the discussion in this paper by numerical simulation.
Keywords:recursive backstepping  chaotic system  nonlinear control  
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