混沌Van der Pol-Duffing系统的线性状态反馈控制  

Linear State Feedback Control for Chaotic ADVP System

作　　者：蔡萍[1] 

机构地区：[1]闽南师范大学数学与统计学院,漳州363000

出　　处：《湖南理工学院学报（自然科学版）》2014年第1期16-19,共4页Journal of Hunan Institute of Science and Technology(Natural Sciences)

基　　金：国家自然科学基金资助项目(11172093;11032004)

摘　　要：讨论一类具有多个未知参数的混沌Van der Pol-Duffing(ADVP)系统的控制问题.利用Routh-Hurwitz准则对受控系统的平衡点稳定性进行分析;设计线性状态反馈控制器,在控制增益的选取范围内,有效地把混沌系统控制到平衡点或周期轨道,实现控制目标;数值模拟结果验证了理论分析的正确性,表明所设计的控制器是有效的.The problem of controlling a class of chaotic ADVP system with multiple unknown parameters is investigated. The stability of the equilibriums of the system is studied by using Routh-Hurwitz criterion; linear state feedback controllers are designed to control the system to equilibriums and period orbits based on the choice principle of feedback coefficients, so the control objective is proved. The numerical simulation results are presented to illustrate analytical results found.

关 键 词：ADVP系统 线性状态反馈控制 Routh-Hurwitz准则 

分 类 号：O19[理学—数学]