摘要
在研究时滞反馈Lorenz系统时,关键是模拟时滞环节的实现.由于数字时滞电路存在模数转换精度的问题,所以采用数字时滞电路的时滞反馈Lorenz系统容易产生不真实的电路现象.本文研究了一种用模拟电路实现的时滞电路,并将其加入到Lorenz系统中构成时滞状态反馈Lorenz系统.通过对系统的数字仿真和模拟电路的制作和实验,验证了实验和仿真的结果完全相符,表明了时滞可以使Lorenz系统产生更复杂拓扑结构的吸引子.
The realization of the time-delay function by analog circuit is the crucial work in a Lorenz system with time-delay state feedback. Digital circuit implementation possibly induces pseudomorph because of the data conversion precision. A simple solution to this problem is presented in this paper, and the time-delay state feedback Lorenz system is constructed by adding this analog circuit to the Lorenz system. More complicated chaotic attractors can be generated, and the complex dynamics of system is confirmed by numerical simulation and analog circuit implementation.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2009年第8期911-914,共4页
Control Theory & Applications
基金
国家自然科学基金资助项目(60771030)
上海市科学发展基金资助项目(054407061)
