Optimality and oscillations near the edge of stability in the dynamics of autonomous vehicle platoons
L.C. Davis
Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 17, 3755-3764
Abstract:
A model that includes the mechanical response of a vehicle to a demanded change in acceleration is analyzed to determine the string stability of a platoon of autonomous vehicles. The response is characterized by a first-order time constant τ and an explicit delay td. The minimum value of the acceleration feedback control gain is found from calculations of the velocity of vehicles following a lead vehicle that decelerates sharply from high speed to low speed. Larger values of ξ (in the stable range) give larger values of deceleration for vehicles in the platoon. Optimal operation is attained close to the minimum value of ξ for stability. Small oscillations are found after the main peak in deceleration for ξ in the stable region but near the transition to instability. A theory for predicting the frequency and amplitude of the oscillations is presented.
Keywords: String stability; Vehicle mechanical response; Adaptive cruise control; Autonomous vehicles (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (3)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:17:p:3755-3764
DOI: 10.1016/j.physa.2013.03.054
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