L2 and Linfinity Stability Analysis of Heterogeneous Traffic With Application to Parameter Optimization for the Control of Automated Vehicles
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2018Access:
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Monteil, J., Bouroche, M. & Leith, D.J., L2 and Linfinity Stability Analysis of Heterogeneous Traffic With Application to Parameter Optimization for the Control of Automated Vehicles, 2018, IEEE Transactions on Control Systems TechnologyDownload Item:
Abstract:
The presence of (partially) automated vehicles on the roads presents an opportunity
to compensate the unstable behaviour of conventional vehicles.
Vehicles subject to perturbations should (i) recover their equilibrium speed,
(ii) react not to propagate but absorb perturbations. In this work, we start
with considering vehicle systems consisting of heterogeneous vehicles updating
their dynamics according to realistic behavioural car-following models.
De finitions of all types of stability that are of interest in the vehicle system,
namely input-output stability, scalability, weak and strict string stability, are
introduced based on recent studies. Then, frequency domain linear stability
analyses are conducted after linearisation of the modelled system of vehicles,
leading to conditions for input-output stability, strict and weak string stability
over the behavioural parameters of the system, for fi nite and infi nite
systems of homogeneous and heterogeneous vehicles. This provides a solid
basis that was missing for car-following model-based control design in mixed
tra c systems where only a proportion of vehicles can be controlled. After
visualisation of the theoretical results in simulation, we formulate an optimisation
strategy with LMI constraints to tune the behavioural parameters
of the automated vehicles in order to maximise the L1 string stability of
the mixed traffic
ow while considering the comfort of automated driving.
The optimisation strategy systematically leads to increased traffic
flow stability.
We show that very few automated vehicles are required to prevent the propagation of realistic disturbances.
Sponsor
Grant Number
SFI
11/PI/1177
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http://people.tcd.ie/bourocmDescription:
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IEEE Transactions on Control Systems Technology;Availability:
Full text availableDOI:
http://dx.doi.org/10.1109/TCST.2018.2808909ISSN:
10636536Metadata
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