A Lyapunov Based Multi-level Controller for Semi-active Suspension System with an MRF Damper

Abstract

[[abstract]]In this work, we study the implementation of magnetorheological fluid (MRF) to the semi-active suspension. Owing to the nonlinear hysteretic phenomenon, the analysis and synthesis of a controller are not trivial. The kinematic energy and spring potential function of the suspension system plus an integral term of the hysteretic component of an MR damper is chosen as the Lyaupnov function to verify the stability and dissipativity of the system. Then, a multi-level controller, which is constructed in virtue of stability analysis, turns out to be effective in vibration suppression. Through numerical examples, the controller is shown to be robust. In addition, the controller algorithm is simple and easy to implement, requiring only the measurements of relative displacement and velocity between sprung and unsprung masses, along with the damping force of the MR damper.[[notice]]補正完