Study on the stability and vibration reduction of nonlinear active suspension system with time-delayed feedback control

Abstract

In this paper, a nonlinear two-degrees-of-freedom active suspension system model with time-delayed feedback control is studied. It is well known that a time delay has destabilizing effect in mathematical models. A stability judgment method is proposed, which is produced in the process of seeking analytic solutions by using multiple-scales method. The influence of feedback control parameters with time delay on vibration reduction of active suspension system is studied. The optimal feedback control parameter combination is obtained. Numerical simulations are provided to support the theoretical analysis. The results show that the feedback gain coefficient and time delay can be used as switches for controlling the stability of the system. The vibration of the nonlinear active suspension system with time delay can be controlled by adjusting the time delay and gain coefficient. There is an optimal parameter combination of gain coefficient and time delay, so that the vibration damping effect is the best. Under the optimal parameters control, the vibration of vehicle is obviously reduced compared with that without control, which proves the effectiveness of time-delayed vibration reduction control in automobile application.