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

Author:

Wang Jinbin,Ma Lifeng,Wang Yong

Abstract

AbstractIn 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.

Funder

the National Natural Science Foundation of China

the Key Research and Development Program of Shanxi Province

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Reference22 articles.

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3. Zeng, L.Q., Zang, Y.: Gao, Z.Y.: Hopf bifurcation control for rolling mill multiple-mode-coupling vibration under nonlinear friction. J. Vib. Acoust. 139(6), 061015 (2019)

4. Zhang, R., Yang, P., Cui, C.: Hopf bifurcation for nonlinear delay system of rolling mill main drive. J. Vib. Meas. Diagn. 34(05), 909–914 (2014) (in Chinese)

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