一类新混沌系统的线性状态反馈控制  

Linear state feedback control for a new chaotic system

作　　者：李瑞红[1] 徐伟[1] 李爽[1] 

机构地区：[1]西北工业大学理学院应用数学系,西安710072

出　　处：《物理学报》2006年第2期598-604,共7页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10472091;10332030);研究生创业种子基金(Z200572)资助的课题.~~

摘　　要：研究了一类新混沌系统的控制问题.利用Routh-Hurwitz准则对受控系统进行了稳定性分析,结合线性状态反馈方法理论上严格证明了达到控制目标反馈系数的选择原则.数值研究证明了该方法能够有效地控制混沌系统到失稳的平衡点或周期解,同时控制效果在弱噪声干扰下具有很强的鲁棒性.The problem of controlling a class of new chaotic system is investigated. Applying Routh-Hurwitz criterion, we analyze the stability of the controlled system. The choice principle of feedback coefficients to attain control objective is proved strictly by combining the linear state feedback method. Numerical simulation results show that the method can effectively guide the chaotic trajectories to an unstable equilibrium point or periodic solution. In addition, we find the control is stable in the presence of weak external noise.

关 键 词：新混沌系统 线性状态反馈控制 Routh-Hurwitz准则 噪声 

分 类 号：O415.5[理学—理论物理] TP13[理学—物理]