摘要
研究了脉冲非线性反馈控制方法控制Lorenz系统的混沌问题.首先从理论上论证了控制方法的正确性.然后设计出了三种控制器并给出了控制器应满足的条件.理论分析和数值模拟结果表明混沌Lorenz系统中的不稳定不动点能被稳定控制,而且Hopf分岔也能产生.给出了相应的数值模拟结果,例如不动点、极限环(1P)轨道.采用脉冲控制方法的优点是控制代价小,工程上易于实现.最后指出,对于其他具有平衡点对称的混沌系统如蔡氏电路系统的混沌控制,此控制策略同样有效.
The method of pulse nonlinear feedback is used to control chaoatic behavior in Lorenz system is researched. First, the correctness of control method is verified by theoretical demonstration. Then, three kinds of controller are designed and its corresponding condition of control are given. Then, the results of theoretical analysis and numerical simulation show that unstable fixed points embedded in chaotic Lorenz system can be stabilized and Hopf bifurcation can be produced.The corresponding results of numerical simulation such as fixed points and limit-cycle(1P) orbit were given.The advantage of pulse control method is that control expense is low and It is easily to realize in project .
出处
《科技通报》
北大核心
2004年第3期179-183,共5页
Bulletin of Science and Technology
基金
国家重点基础研究发展规划基金项目(973计划专项经费)
国家自然科学基金(10247005
19974039)
广西"新世纪十百千人才工程"人选专项资金(2002226)
广西自然科学基金(0135063)资助项目.
