RESEARCHES REGARDING THE DEVELOPMENT OF A MATHEMATICAL MODEL TO OPTIMIZE THE OPERATION OF THE ANTI-LOCK BRAKING SYSTEM

Abstract

This paper presents a simplified model of a passenger-car’s ABS (Anti-Lock Braking System). For simplicity purpose, a “quarter-car” planar model was considered: a wheel in rotation movement and a mass in translational movement (the vehicle mass supported by that wheel). In these conditions, a very simple dynamic model was obtained, having only two degrees of freedom (DOFs): the wheel rotation and the translation of the “quarter-car” mass. The mathematical model consists in the motion equations of the wheel and “quarter-car” mass and in the equations describing the comportment of the driver, controller, hydraulic module and brake. The model was transposed in a Matlab-Simulink model, offering the possibility to simulate many times how the ABS works if the constructive parameters, road conditions or driver inputs are changed

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