DPS系统Hopf分岔分析及时滞控制  

Hopf Bifurcation Analysis and Delay Control of DPS System

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

机构地区：[1]上海工程技术大学机械工程学院,上海201620

出　　处：《兰州交通大学学报》2018年第5期85-89,97,共6页Journal of Lanzhou Jiaotong University

基　　金：国家自然科学基金青年基金(11604205)

摘　　要：主要研究DPS系统Hopf分岔的稳定性及时滞控制问题.根据规范性理论与中心流形定理,并结合劳斯霍尔维茨判据,进一步分析了Hopf分岔的产生条件.为了消除和稳定DPS系统在混沌同步时的震荡现象,设计线性反馈控制器和非线性反馈控制器对DPS系统的Hopf分岔进行控制,计算得出线性反馈控制器可对该系统进行时滞控制,非线性反馈控制器可实现分岔解的稳定性控制,数值模拟证实理论分析的正确性.The stability and time delay control of Hopf bifurcation in DPS system were studied.The normative theory,and the central manifold theorem,combined with Routh Hurwitz stability criterion,were used to further analyze the conditions of Hopf bifurcation.In order to eliminate and stabilize oscillation phenomenon of DPS system in chaotic synchronization,a linear feedback controller and nonlinear feedback controller were designed to control the Hopf bifurcation of DPS system.Calculation results show that the linear feedback controller can control the time delay of the system,and the nonlinear feedback controller can realize control the stability of the bifurcation solution.Numerical simulations confirm the correctness of the theoretical analysis.

关 键 词：混沌系统 HOPF分岔 控制 

分 类 号：O322[理学—一般力学与力学基础]