When designing safety systems of contemporary cars it should be taken into consideration not only the technical but also psychological aspects. The paper presents a computation model of the driver-vehicle-environment system, in which the car is equipped with the Lane Departure Avoidance system. The system warns the driver if it recognizes a possibility that the car would depart from the lane in the assumed time period. This time period is called Time to Line Crossing (TLC). The vehicle control model used in the computer simulation consists of three elements: the vehicle (road-vehicle kinematics and vehicle dynamics), the driver (his perception and response), the environment and the impact of different disturbances. In order to describe the lane departure avoidance system the model was extended with an algorithm describing its function. The Time to Line Crossing is an important parameter used in this algorithm. The aim of the study was to investigate the influence of the assumed, TLC threshold on the behavior of the driver-vehicle system in a situation when the vehicle approaches to the road lane border line. The paper presents the results of calculations of two maneuvers, namely: the reaction to the side wind and the movement on the road with gentle bends. The method presented in the paper, makes it possible to investigate the influence of the Lane Departure Avoidance system on the motion of the car. Furthermore, it is shown that whether or not and how the driver can correct the trajectory of the car in a safe way depends on the TLC threshold value assumed in the system.
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