摘要
证明了微分反馈控制洛伦兹系统在三个平衡点S0 ,S1 和S2 的可控性 .提出了延迟微分反馈控制DDFC .DDFC利用可测变量的微商进行反馈 .理论证明DDFC加于洛伦兹系统的第 3个方程时 3个平衡点均不稳定可控 ,而加于洛伦兹系统的第 2个方程时平衡点S0 不可控而平衡点S1 和S2 稳定可控 .用Matlab进行数值仿真 ,调节延迟时间τ和控制增益k ,DDFC系统能自动寻找和稳定不同的不稳定周期轨道UPO ,实现混沌控制 .
The controllability of the equilibriums of the contro ll ed system with differential feedback control was proved. DDFC (the delayed diffe rential feedback control) was presented with the measurable differential variate as the feedback. The three equilibriums of Lorenz system are not all controllab le when the third equation is added. The equilibrium S 0 is not controllabl e but the equilibrium S 1 and S 2 are controllable when DDFC is added to the second equation separately. The UPOs (unstable periodic orbits) are found and stabilized by adjusting the gain k and delayed time τ in numerical simulations in Matlab. The control of chaos is realized.
出处
《华中科技大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2003年第7期49-52,共4页
Journal of Huazhong University of Science and Technology(Natural Science Edition)
基金
国家自然科学基金资助项目 (5 0 2 0 90 12 )
关键词
混沌系统
微分反馈
延迟
平衡点
chaotic system
differential feedback
dela yed
equilibrium point Huang Baoxing Assoc. Prof.
School of Physics and Inform ational Engineering, Jianghan University, Wuhan 430056, China.
