Distributed optimal energy consumption control of HEVs under MFG-based speed consensus
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Control Theory and Technology http://link.springer.com/journal/11768
Distributed optimal energy consumption control of HEVs under MFG-based speed consensus Qiaobin FU† , Fuguo XU, Tielong SHEN, Kenichi TAKAI Department of Engineering and Applied Sciences, Sophia University, Chiyuda-ku Tokyo 102-8554, Japan Received 3 February 2020; revised 10 March 2020; accepted 12 March 2020
Abstract This paper investigates a distributed optimal energy consumption control strategy under mean-field game based speed consensus. Large scale vehicles in a traffic flow is targeted instead of individual vehicles, and it is assumed that the propulsion power of vehicles is hybrid electric powertrain. The control scheme is designed in the following two stages. In the first stage, in order to achieve speed consensus, the acceleration control law is designed by applying the MFG (mean-field game) theory. In the second stage, optimal powertrain control for minimizing energy consumption is obtained through coordinate the engine and the motor under the acceleration constraint. The simulation is conducted to demonstrate the effectiveness of the proposed control strategy. Keywords: Mean-field games (MFGs), speed consensus, powertrain control, hybrid electric vehicles (HEVs) DOI https://doi.org/10.1007/s11768-020-0021-6
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Introduction
Over the past few decades, the increasing in traffic demand on urban road networks leads to series traffic congestion in many countries. Traffic congestion not only reduces the utilization efficiency of a road network but also increases energy consumption, greenhouse gas emissions, and travel time of vehicles significantly. It is also well recognized that traffic congestions have a negative effect on the efficiency of powertrain. Therefore, a number of recent studies have explored the potential
impacts of consensus for vehicles [1,2]. In general, these studies assume that every single vehicle knows the dynamics of the other vehicles, hence decisions could be made on the basis of system-level considerations only, for example the multi-agent control proposed in [3, 4] and centralized strategies in [5,6]. However, these studies do not address the issue of how to deal with vehicles of large scale since the computational cost increases fast when the vehicle number is large. On the other hand, since the members are usually not fixed, the centralized strategies may be not effective. Moreover, consensus
† Corresponding author. E-mail: [email protected]. Tel.: +81-70-2662-3414. This work was supported in part by Toyota Motor Corporation, Japan.
© 2020 South China University of Technology, Academy of Mathematics and Systems Science, CAS and Springer-Verlag GmbH Germany, part of Springer Nature
Q. Fu et al. / Control Theory Tech, Vol.
control for vehicular platoon [2, 7] cannot deal with the problem that vehicles on multi-lanes. In previous studies the optimal strategy of the single vehicle depends on the dynamics of the other vehicles, i.e., one vehicle has to observe all the other vehicles to
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