具有时滞反馈控制的非线性主动悬架系统的稳定性、分岔和混沌

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Abstract Here, a nonlinear active suspension system model with time delay feedback control was studied considering nonlinear characteristics of suspension spring and damping. The critical gain of delay independent stable region and the critical delay of stability switch were derived by using the generalized Sturm criterion. The effectiveness of the theoretical analysis was verified using numerical simulation with chosen parametric combinations in different stability intervals. Based on dynamic equations, nonlinear dynamic behavior of the suspension system under road excitation was studied by using bifurcation diagram, Poincare map and time domain diagram. The results showed that there is a small parameter interval in gain coefficient-damping coefficient plane to realize delay independent stability, and the interval range increases with increase in suspension damping coefficient; when the controlled system has no delay independent stability, the system can have stability switching with change of time delay; these stability switches correspond to Hopf bifurcations when time delay crosses critical value; numerical simulation verifies the correctness of the theoretical analysis; when time delay is taken as a bifurcation parameter, the system’s path from quasi-periodic motion to chaotic one is observed, i.e., rupture of quasi-periodic torus.

Key words： nonlinear active suspension systems time delay feedback control stability switch bifurcation chaos

Received: 20 April 2020 Published: 15 April 2021

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	Articles by authors
	SHAO Sujuan1
	REN Chuanbo2
	JING Dong2
	YAN Tinghao2

Cite this article:

SHAO Sujuan1,REN Chuanbo2,JING Dong2, et al. Stability, bifurcation and chaos of nonlinear active suspension system with time delay feedback control[J]. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(7): 281-290.

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http://jvs.sjtu.edu.cn/EN/ OR http://jvs.sjtu.edu.cn/EN/Y2021/V40/I7/281

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