2017
DOI: 10.1109/tits.2017.2671347
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Graph Theoretic Approach to the Robustness of $k$ -Nearest Neighbor Vehicle Platoons

Abstract: We consider a graph theoretic approach to the performance and robustness of a platoon of vehicles, where each vehicle communicates with its k-nearest neighbors. In particular, we quantify the platoon's stability margin, robustness to disturbances (in terms of system H ∞ norm), and maximum delay tolerance via graph-theoretic notions such as nodal degrees and (grounded) Laplacian matrix eigenvalues. Our results show that there is a trade-off between robustness to time delay and robustness to disturbances.Both fi… Show more

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Cited by 34 publications
(22 citation statements)
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“…The main aim in (C)ACC systems is to keep vehicles as close as possible to increase the vehicle density on highways and to prevent the amplification of disturbances throughout the string therewithal. The latter is known as the string stability of vehicle platoons [19], [20]. When conventional controllers are designed for such systems, decreasing inter-vehicle relative distance can result in string instability.…”
Section: Problem Formulationmentioning
confidence: 99%
“…The main aim in (C)ACC systems is to keep vehicles as close as possible to increase the vehicle density on highways and to prevent the amplification of disturbances throughout the string therewithal. The latter is known as the string stability of vehicle platoons [19], [20]. When conventional controllers are designed for such systems, decreasing inter-vehicle relative distance can result in string instability.…”
Section: Problem Formulationmentioning
confidence: 99%
“…, andl = l −l * are parametric estimation errors, entering as disturbances into the stable dynamics (28).…”
Section: B Second Step: Design Of a Model-matching Control Structurementioning
confidence: 99%
“…In general, two policies can be employed for spacing control of platoons, i.e., the constant spacing (CS) policy [25], [30], [31] and the constant time headway (CTH) one [32]- [34]. In the CS policy, the desired spacing between consecutive vehicles is constant, while the desired spacing is a function of velocity in the CTH policy.…”
Section: Control Objectivesmentioning
confidence: 99%