Semi-active Vibration Control with On-line Identification of the Inverse Mr Damper Model

The paper presents the semi-active vibration control based on the Skyhook algorithm which benefits from the adaptively tuned inverse magnetorheological (MR) damper model. The structure of the inverse model consists of the atan function and a linear viscous damping component. The proposed algorithm was tested by simulation of the quarter-car suspension model subjected to multiple bump road excitation. The suspension model includes the Bouc-Wen model which serves as a reference model of MR damper dynamics. Additional dynamics in the form of the first order filter is added at the output of the damper model. The key elements of the presented algorithm are iterative estimation of immeasurable signals and identification of the inverse model using the modified FxLMS algorithm. The current controlling MR damper is calculated by the inverse model according to the force determined by Skyhook. Simulation experiments confirmed a good quality of vibration control of the vehicle suspension model traversing a bumpy road profile, as well as the correctness of immeasurable signal estimation and MR damper identification. It can be stated that application of the inverse model adaptation in the semi-active vibration control gradually improves vibration attenuation during the ride.