Optimization of the Stabilization Problem for the Vehicle Active Suspension System Using Linear Dynamic Feedback Control

In this paper, a vehicle suspension system in the form of a quarter-car suspension model is investigated. Such a model consists of two mass bodies connected via springs and dampers. The principle of active suspension control is to design an effective algorithm aimed at reducing the vibrations of the masses. From the application point of view, the effectiveness of the algorithm is related to a fast implementation, usually on an embedded platform with limited resources and performance metrics such as settling time and maximum overshoot. To meet these objectives, a linear dynamic control law is proposed in which the parameters are selected to minimize the defined performance index. The stability property of the closed-loop system is proved by the use of a Lyapunov functional and the LaSalle invariance principle. The effectiveness of the proposed stabilization approach is compared with that of the PID controller.