Tire Damping Effect on H2 Optimal Control of Half-Car Active Suspensions

In this note, the root-mean-square response of a half-car model following a random road profile is studied. Road excitation at the front wheel is modeled by a first-order linear shape filter driven by white-noise and the temporal correlation between the front and the rear wheels is predicted by a second-order Pade filter. It is demonstrated that the effect of tire damping on the rms response of actively controlled half-car suspension system can be significant, in particular, at high vehicle velocities.