摘要
针对一类新单参数混沌系统,根据其特殊的系统结构给出了降维控制的策略.通过控制部分变量达到控制整个系统的目的,使得这类混沌系统的控制问题由三维降为两维,从而有效地降低了系统控制的复杂度.从反馈控制和自适应控制两个方面阐述了此降维控制策略的可行性,理论结果和数值仿真表明设计的降维控制方法可使系统稳定在任意的目标点或任意的周期轨道上.
The control method of dimension reduced is investigated for a new single parameter chaotic system which has especial structure. The whole system can be controlled when some of the system variables are controlled. The control problem for this kind of chaotic system is reduced from 3 -dimensions to 2 - dimensions and the complexity is reduced. The feasibility is discussed by means of feedback control and adaptive control methods. The results of theory and numerical calculations indicate that the trajectories of a chaotic system can be controlled to approach arbitrary points or arbitrary target periodic orbits by the control method of dimension reduced.
出处
《东华大学学报（自然科学版）》
CAS
CSCD
北大核心
2010年第1期52-56,共5页
Journal of Donghua University(Natural Science)
基金
国家"八六三"高技术研究发展计划(2008AA042902)
教育部高校博士点基金项目(200802550007)
上海市教委科研创新重点项目(09zz66)
郧阳师专项目(2009B03)
关键词
混沌系统
反馈控制
自适应控制
降维控制
chaotic system
feedback control
adaptive control
dimension reduced control
