DPS系统的动力学分析与控制  

Dynamic Analysis and Control of DPS System

作　　者：何宏骏 崔岩[1] 孙观 HE Hong-jun;CUI Yan;SUN Guan(Shanghai University of Engineering and Science, School of Mechanical Engineering and Automobile,Shanghai 201620,China)

机构地区：[1]上海工程技术大学机械与汽车工程学院

出　　处：《重庆工商大学学报（自然科学版）》2019年第4期42-48,共7页Journal of Chongqing Technology and Business University:Natural Science Edition

基　　金：国家自然科学基金资助(11604205)

摘　　要：对DPS系统进行了分析与控制,计算耗散性函数得到其耗散性,结合李雅普诺夫指数证明了其混沌性;根据Routh-Hurwitz判据判断了平衡点的稳定性,采用matlab数值模拟相图验证了该系统具有丰富的动力学现象且与Lorenz系统拓扑不相似;利用微分反馈控制法、恒外激励控制法和x|x|控制法分别对DPS系统进行了混沌控制,Matlab仿真实验验证了对DPS系统可有效控制;完善了x|x|控制法,并对Lorenz系统、Chen系统、Lu系统、Rossler系统进行控制并利用matlab进行数值仿真相图和分岔图。In this paper,we analyze and control the DPS system,calculate the dissipation function,and prove its chaos with Lyapunov index. Routh-hurwitz criterion was used to judge the stability of the equilibrium point,and matlab numerical simulation phase diagram verified that the system has a rich dynamic phenomenon and is not similar to Lorenz system topology. Three methods,namely differential feedback control method,constant external excitation control method and x | x | control method,were used to control the chaos of the DPS system respectively.Matlab simulation shows that the DPS system can be effectively controlled. X | x | control method is improved,and Lorenz system,Chen system,Lu system,Rossler system control and matlab numerical simulation phase diagram and bifurcation diagram are obtained.

关 键 词：新系统 动力学分析 混沌控制 x控制 

分 类 号：O322[理学—一般力学与力学基础] O415[理学—力学]