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一类混沌系统的电路设计及控制
引用本文:雷腾飞,王清花.一类混沌系统的电路设计及控制[J].嘉应学院学报,2014,32(11):27-33.
作者姓名:雷腾飞  王清花
作者单位:1. 西京学院控制工程学院,西安,710123
2. 新泰天宝一中,山东新泰,271211
基金项目:陕西省科技攻关项目,陕西省教育厅科研计划项目,西京学院科研基金
摘    要:针对一类新构造的三维混沌系统,对系统平衡点的稳定性进行分析,并利用分岔图与Lyapunov指数等进行数值仿真.同时运用Multisim软件设计此类系统的混沌电路,最后基于Lyapunov稳定性理论,设计自适应控制器,实现系统的混沌同步.仿真结果验证所提出同步方法的有效性和可实现性.以及对研究该系统应用提供了理论参考.

关 键 词:混沌系统  电路仿真  自适应控制

Circuit Design and Control for A Kind of Chaotic System
LEI Teng-fei,WANG Qing-hua.Circuit Design and Control for A Kind of Chaotic System[J].Journal of Jiaying University,2014,32(11):27-33.
Authors:LEI Teng-fei  WANG Qing-hua
Institution:LEI Teng-fei ,WANG Qing- hua ( 1. School of Control Engineering ,Xifing University,Xi'an 710123, China; 2. Tiart Bao No. 1 Middle School, Xintai 271211 ,China)
Abstract:In this paper, a class of new 3 D chaotic system is constructed, and the stability of equilibrium of a new chaotic system is analyzed, and the system bifurcation, Lyapunov exponent with numerical analysis are studied. Al- so, an electronic circuit was designed to realize the new chaotic system using Multisim. Finally, by employing the Lyapunov stability theory, we designed an adaptive controller for realizing the chaotic synchronization of the chaotic system. The simulation results confirm the correctness of the theoretical analysis of the proposed method, besides, the research results will be provided as theoretical references for the study of improving a new chaotic system con- trol.
Keywords:chaotic system  circuit simulations  adaptive control
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