2018 IEEE Intelligent Vehicles Symposium (IV) 2018
DOI: 10.1109/ivs.2018.8500709
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Worst-case Analysis of the Time-To-React Using Reachable Sets

Abstract: Collision mitigation and collision avoidance systems in intelligent vehicles reduce the severity and number of accidents. To determine the optimal point in time at which such systems should intervene, time-based criticality metrics such as the Time-To-React (TTR) are commonly used. The TTR describes the last point in time along the current trajectory at which an evasive trajectory exists. In this paper, we present a novel approach to determine the point in time after which it is guaranteed that no evasive mane… Show more

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Cited by 27 publications
(18 citation statements)
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“…Since collision prediction is key to the safety of AVs, a wide range of solutions have been proposed by academia and industry. As mentioned earlier, current consumer vehicles use statistics-based SBTMs for collision prediction but can perform poorly in complex situations [10], [11] or react too late to avoid collisions [12], [13]. Expanding on these approaches, companies like Mobileye and Nvidia have proposed more comprehensive mathematical models for ensuring AV safety, namely Responsibility-Sensitive Safety (RSS) [22] and Nvidia Safety Force Field [23], respectively.…”
Section: A Early Collision Predictionmentioning
confidence: 99%
See 1 more Smart Citation
“…Since collision prediction is key to the safety of AVs, a wide range of solutions have been proposed by academia and industry. As mentioned earlier, current consumer vehicles use statistics-based SBTMs for collision prediction but can perform poorly in complex situations [10], [11] or react too late to avoid collisions [12], [13]. Expanding on these approaches, companies like Mobileye and Nvidia have proposed more comprehensive mathematical models for ensuring AV safety, namely Responsibility-Sensitive Safety (RSS) [22] and Nvidia Safety Force Field [23], respectively.…”
Section: A Early Collision Predictionmentioning
confidence: 99%
“…As a result, these methods are less capable of generalizing and can perform poorly in complex road scenarios. Moreover, to reduce false positives, these systems are designed to respond at the last possible moment [12]. Under such circumstances, the AV control system can fail to take timely corrective actions [13] if the system fails to predict a collision or estimates the TTC inaccurately.…”
Section: Introductionmentioning
confidence: 99%
“…Let T i (t) be the instantaneous time-to-collision between the ego vehicle and the i-th environment vehicle at time step t. The value T i (t) can be defined in multiple ways (see e.g. Sontges et al [79]). Norden et al [63] define it as the amount of time that would elapse before the two vehicles' bounding boxes intersect assuming that they travel at constant fixed velocities from the snapshot at time t. Time-to-collision captures directly whether or not the ego-vehicle was involved in a crash.…”
Section: B8 Proof Of Lemmamentioning
confidence: 99%
“…The value T i (t) can be defined in multiple ways (see e.g. Sontges et al [49]). In this study, we define it as the amount of time that would elapse before the two vehicles' bounding boxes intersect assuming that they travel at constant fixed velocities from the snapshot at time t.…”
Section: A Simulation Parametersmentioning
confidence: 99%