This paper presents reduced-order models of brake system dynamics derived f
rom a physical modeling perspective. The vacuum booster model combines a st
atic control valve with dynamic airflows, resulting in the ability to easil
y reproduce both static hysteresis effects and rapid transients. Following
the assumption of incompressible flow, a four-state model of the brake hydr
aulics is presented and, subsequently reduced to one or two states for cert
ain applications. Experimental results support the simplifying assumptions
made during the modeling process by demonstrating better agreement with the
response from pedal force to brake pressure than previously displayed in t
he literature. These models are intended for use in the design and analysis
of vehicle control systems and the evaluation of driver/vehicle interactio
ns through dynamic simulation.