Robust H∞ Control of Semi-active Suspension System with Adaptive Inerter Via Force-tracking

This study introduces a force-tracking robust
$H$
00 control approach aimed at designing a semi-active quarter-car suspension system incorporating adaptive inerter. An adaptive inerter refers to a semi-active inerter whose inertance can be adjusted within a finite bandwidth through real-time control actions. To meet the specified performance requirements in the vehicle suspension system, and guarantee the prescribed disturbance attenuation level of the closed-loop system, the Lyapunov stability function, and linear matrix inequality (LMI) approaches have been used to fulfil the robust
$H$
00 criterion. The force-tracking method is one of the best solutions to control the inertance of the adaptive inerter. The force-tracking strategy consists of two parts: a target active control law is first provided and then tracked online by controlling the inertance of the employed adaptive inerter. Numerical simulations show that the semi-active suspension system with the adaptive inerter can meet better performance requirements compared to the passive suspension system with fixed inerter or without inerter.