AdaptiveTordeux, AntoineLebacque, Jean-PatrickLassarre, Sylvain cruise control (ACC) systems are fundamental components of driving automation. At the upper control levelUpper and Lower Control Level, ACC systems are based on car-following models determining the acceleration rate of a vehicle according to the distance gap to the predecessor and the speed difference. The pursuit strategy consists in keeping a constant time gap with the predecessor, as recommended by industrial norms. The systematic active safety of the systems is tackled thanks to local and string stability analysisStability and Robustness Analysis. In this contribution, we analyze and compare several classical constant time gap linear and non-linear car-following models. We critically evaluate the stability robustness of the models against latency, noise and measurement error, heterogeneity, or kinetic constraints operating in the dynamics at the lower control level. The results highlight that many factors can perturb or even break the stability and induce the formation of stop-and-go waves or collisions, for intrinsically stable car-following models.


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