Active control of quarter-car and bridge vibrations using the sliding mode control

Abstract

In this study, the active control of the three-degree-of-freedom quarter-car suspension system passing over the bridge, which can be modeled as an Euler-Bernoulli beam, is studied. The mathematical model of the bridge and the vehicle was determined and the equations of motion were derived using the Lagrangian method. The obtained equations of motion were solved in Matlab using the fourth-order Runge-Kutta method. By giving the wheels two different road profiles along with the oscillations of the bridge beam, the vehicle's handling and passenger comfort are ensured to be optimal by using the classical PID and Sliding mode control (SMC) method. The accuracy of the proposed method in the study was compared with other studies in the literature. The simulation results showed that thanks to the active suspension controllers, the result of the passenger displacement and acceleration values improved significantly compared to the passive one. © 2022 Gazi Universitesi Muhendislik-Mimarlik. All rights reserved.