Hopf bifurcation control for the main drive delay system of rolling mill

Advances in Difference Equations

article

Wang, Jinbin¹  Ma, Lifeng¹  Wang, Yong³ 

[1] College of Mechanical Engineering, Taiyuan University of Science and Technology;Engineering Research Center Heavy Machinery Ministry of Education, Taiyuan University of Science and Technology;Department of Information Science and Technology, Tianjin University of Finance and Economics

关键词: Main drive delay system of rolling mill;    Hopf bifurcation;    Bifurcation control;    Nonlinear state feedback;    Delay;   

DOI  :  10.1186/s13662-020-02666-1

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this work, the Hopf bifurcation of the main drive delay system of rolling mill is controlled and analyzed by designing a nonlinear controller. The time-delay is selected as a bifurcation parameter, and the following conclusions are obtained through analysis: (1) in the absence of state feedback control, the system will generate the Hopf bifurcation at the expense of its stability when the bifurcation parameter exceeds the threshold value; (2) in the state under feedback control, the occurrence of Hopf bifurcation is effectively delayed and the stable region of the system is also well extended. More importantly, we can change the properties of bifurcation periodic solutions by selecting the appropriate gain parameters. Some numerical simulations reveal that under the nonlinear feedback control, the vibration amplitude of the system can be effectively reduced.

【 授权许可】

CC BY