Instantaneous optimal control for vehicle nonlinear suspension system with time delay

Abstract

This paper deals with the problem of instantaneous optimal control for vehicle suspension system with control time delay. The control objective is to improve vehicle ride comfort. Firstly, the dynamic equation of nonlinear suspension system is established. Secondly, to reduce the effect of control time delay, a formula based on integral transformation is introduced to obtain instantaneous optimal control strategy. Finally, the effectiveness of instantaneous optimal control is verified by numerical simulation. The analysis results reflect that the instantaneous optimal control could ensure the stability of the control system no matter how the time delay changes. And it is also found that the control effect varies with the control time delay. It lays a foundation for the study of how to add intentional time delay in the control loop to make the control effect better. This paper provides an effective way for nonlinear vibration control, which has important theoretical and engineering application value.