LMI-Based H∞ control for the active seat suspension

According to the dynamic model of vehicle seat suspension system with three degrees of freedom, this paper presents a linear matrix inequality (LMI) algorithm to design the active seat suspension H∞ controller, and to figure out the relevant state feedback controller. The system is numerically simulated by programming using MATLAB software and the results show that the damping effect is obvious using H∞ controller which can restrain the disturbance signals, eliminate the influence caused by parameter variation and uncertainty factors, compared with the passive system. It also demonstrates the robustness of the system to parameter perturbation and the effectiveness of the LMI-Based H∞ controller.