Abstract

This paper focuses on an eco-driving-based hierarchical robust energy management strategy for connected and automated hybrid electric vehicles in the presence of uncertainty. The proposed control strategy includes a velocity optimizer, which evaluates the optimal vehicle velocity, and a powertrain energy manager, which evaluates the optimal power split between the engine and the battery in a hierarchical framework. The velocity optimizer accounts for regenerative braking and minimizes the total driving power and friction braking over a short control horizon. The hierarchical powertrain energy manager employs a long- and short-term strategy where it first approximately solves its problem over a long time horizon (the whole trip time in this paper) using the traffic data obtained from vehicle-to-infrastructure (V2I) connectivity. This is followed by a short-term decision maker that utilizes the velocity optimizer and long-term solution, and solves the energy management problem over a relatively short time horizon using robust model predictive control (MPC) methods to factor in any uncertainty in the velocity profile due to uncertain traffic. We solve the long-term energy management problem using pseudo-spectral optimal control method, and the short-term problem using robust tube-based MPC method. Simulation results with standard driving cycle velocity profile and real-world traffic data show the competence of our proposed approach. Our proposed co-optimization approach with long- and short-term solution results in 12% more energy efficiency than a baseline co-optimization approach.

References

1.
Rengarajan
,
S.
,
Hotz
,
S.
,
Sarlashkar
,
J.
,
Gankov
,
S.
,
Bhagdikar
,
P.
,
Gross
,
M. C.
, and
Hirsch
,
C.
,
2020
, “
Energy Efficient Maneuvering of Connected and Automated Vehicles
,”
SAE Int. J. Adv. Curr. Pract. Mobil.
,
2
(
6
), pp.
3231
3239
.10.4271/2020-01-0583
2.
Hu
,
Q.
,
Amini
,
M. R.
,
Wiese
,
A.
,
Buckland Seeds
,
J.
,
Kolmanovsky
,
I.
, and
Sun
,
J.
,
2021
, “
A Multi-Range Vehicle Speed Prediction With Application to Mpc-Based Integrated Power and Thermal Management of Connected Hybrid Electric Vehicles
,”
ASME J. Dyn. Syst., Meas., Control
, epub.10.1115/1.4052819
3.
Chen
,
B.
,
Evangelou
,
S. A.
, and
Lot
,
R.
,
2019
, “
Series Hybrid Electric Vehicle Simultaneous Energy Management and Driving Speed Optimization
,”
IEEE/ASME Trans. Mechatronics
,
24
(
6
), pp.
2756
2767
.10.1109/TMECH.2019.2943320
4.
Kim
,
Y.
,
Figueroa-Santos
,
M.
,
Prakash
,
N.
,
Baek
,
S.
,
Siegel
,
J. B.
, and
Rizzo
,
D. M.
,
2020
, “
Co-Optimization of Speed Trajectory and Power Management for a Fuel-Cell/Battery Electric Vehicle
,”
Appl. Energy
,
260
, p.
114254
.10.1016/j.apenergy.2019.114254
5.
Chen
,
D.
,
Kim
,
Y.
,
Huang
,
M.
, and
Stefanopoulou
,
A.
,
2020
, “
An Iterative and Hierarchical Approach to co-Optimizing the Velocity Profile and Power-Split of Plug-in Hybrid Electric Vehicles
,”
Proceedings of American Control Conference
, Denver, CO, July 1–3, pp.
3059
3064
.10.23919/ACC45564.2020.9147804
6.
Chen
,
D.
,
Huang
,
M.
,
Stefanopoulou
,
A. G.
, and
Kim
,
Y.
,
2021
, “
A Receding-Horizon Framework for Co-Optimizing the Velocity and Power-Split of Automated Plug-In Hybrid Electric Vehicles
,”
ASME Lett. Dyn. Syst. Control
,
1
(
4
), p.
041006
.10.1115/1.4050191
7.
Hu
,
J.
,
Shao
,
Y.
,
Sun
,
Z.
,
Wang
,
M.
,
Bared
,
J.
, and
Huang
,
P.
,
2016
, “
Integrated Optimal Eco-Driving on Rolling Terrain for Hybrid Electric Vehicle With Vehicle-Infrastructure Communication
,”
Transport. Res. Part C Emerg. Technol.
,
68
, pp.
228
244
.10.1016/j.trc.2016.04.009
8.
Bhat
,
P. K.
,
Oncken
,
J.
,
Yadav
,
R.
,
Chen
,
B.
,
Shahbakhti
,
M.
, and
Robinette
,
D.
,
2019
, “
Generation of Optimal Velocity Trajectory for Real-Time Predictive Control of a Multi-Mode Phev
,”
IEEE 90th Vehicular Technology Conference (VTC2019-Fall)
,
IEEE
, Honolulu, HI, Sept. 22–25, pp.
1
5
.10.1109/VTCFall.2019.8891569
9.
Guo
,
L.
,
Chen
,
H.
,
Liu
,
Q.
, and
Gao
,
B.
,
2018
, “
A Computationally Efficient and Hierarchical Control Strategy for Velocity Optimization of on-Road Vehicles
,”
IEEE Trans. Syst., Man, Cybern. Syst.
,
49
(
1
), pp.
1
41
.10.1109/TSMC.2018.2826005
10.
HomChaudhuri
,
B.
,
Lin
,
R.
, and
Pisu
,
P.
,
2016
, “
Hierarchical Control Strategies for Energy Management of Connected Hybrid Electric Vehicles in Urban Roads
,”
Transport. Res. Part C Emerg. Technol.
,
62
, pp.
70
86
.10.1016/j.trc.2015.11.013
11.
Jalil
,
N.
,
Kheir
,
N. A.
, and
Salman
,
M.
,
1997
, “
A Rule-Based Energy Management Strategy for a Series Hybrid Vehicle
,”
Proceedings of the American Control Conference (Cat. No. 97CH36041)
, Vol.
1
, Albuquerque, NM, June 6, pp.
689
693
.10.1109/ACC.1997.611889
12.
Lin
,
C.-C.
,
Peng
,
H.
,
Grizzle
,
J. W.
, and
Kang
,
J.-M.
,
2003
, “
Power Management Strategy for a Parallel Hybrid Electric Truck
,”
IEEE Trans. Control Syst. Technol.
,
11
(
6
), pp.
839
849
.10.1109/TCST.2003.815606
13.
Liu
,
J.
, and
Peng
,
H.
,
2008
, “
Modeling and Control of a Power-Split Hybrid Vehicle
,”
IEEE Trans. Control Syst. Technol
.,
16
(
6
), pp.
1242
1251
.10.1109/TCST.2008.919447
14.
Moura
,
S. J.
,
Fathy
,
H. K.
,
Callaway
,
D. S.
, and
Stein
,
J. L.
,
2011
, “
A Stochastic Optimal Control Approach for Power Management in Plug-in Hybrid Electric Vehicles
,”
IEEE Trans. Control Syst. Technol.
,
19
(
3
), pp.
545
555
.10.1109/TCST.2010.2043736
15.
Paganelli
,
G.
,
Delprat
,
S.
,
Guerra
,
T.-M.
,
Rimaux
,
J.
, and
Santin
,
J.-J.
,
2002
, “
Equivalent Consumption Minimization Strategy for Parallel Hybrid Powertrains
,”
Vehicular Technology Conference on IEEE 55th Vehicular Technology Conference
, VTC Spring 2002 (Cat. No. 02CH37367), Vol.
4
,
IEEE
, Birmingham, AL, May 6–9, pp.
2076
2081
.10.1109/VTC.2002.1002989
16.
Zhang
,
F.
,
Xi
,
J.
, and
Langari
,
R.
,
2017
, “
Real-Time Energy Management Strategy Based on Velocity Forecasts Using V2V and V2I Communications
,”
IEEE Trans. Intell. Transportation Syst.
,
18
(
2
), pp.
416
430
.10.1109/TITS.2016.2580318
17.
Musardo
,
C.
,
Rizzoni
,
G.
,
Guezennec
,
Y.
, and
Staccia
,
B.
,
2005
, “
A-Ecms: An Adaptive Algorithm for Hybrid Electric Vehicle Energy Management
,”
Eur. J. Control
,
11
(
4–5
), pp.
509
524
.10.3166/ejc.11.509-524
18.
Serrao
,
L.
,
Onori
,
S.
, and
Rizzoni
,
G.
,
2009
, “
Ecms as a Realization of Pontryagin's Minimum Principle for Hev Control
,”
Proceedings of American Control Conference,
St. Louis, MO, June 10–12, pp.
3964
3969
.10.1109/ACC.2009.5160628
19.
Li
,
Y.
,
He
,
H.
,
Peng
,
J.
, and
Wang
,
H.
,
2019
, “
Deep Reinforcement Learning-Based Energy Management for a Series Hybrid Electric Vehicle Enabled by History Cumulative Trip Information
,”
IEEE Trans. Veh. Technol.
,
68
(
8
), pp.
7416
7430
.10.1109/TVT.2019.2926472
20.
Du
,
G.
,
Zou
,
Y.
,
Zhang
,
X.
,
Liu
,
T.
,
Wu
,
J.
, and
He
,
D.
,
2020
, “
Deep Reinforcement Learning Based Energy Management for a Hybrid Electric Vehicle
,”
Energy
,
201
, p.
117591
.10.1016/j.energy.2020.117591
21.
Huang
,
Y.
,
Wang
,
H.
,
Khajepour
,
A.
,
He
,
H.
, and
Ji
,
J.
,
2017
, “
Model Predictive Control Power Management Strategies for Hevs: A Review
,”
J. Power Sources
,
341
, pp.
91
106
.10.1016/j.jpowsour.2016.11.106
22.
Onori
,
S.
,
Serrao
,
L.
, and
Rizzoni
,
G.
,
2010
, “
Adaptive Equivalent Consumption Minimization Strategy for Hybrid Electric Vehicles
,”
Dynamic Systems & Control Conference
, Vol. 44175, Cambridge, MA, Sept. 12–15, pp.
499
505
.10.1115/DSCC2010-4211
23.
Joševski
,
M.
, and
Abel
,
D.
,
2016
, “
Tube-Based MPC for the Energy Management of Hybrid Electric Vehicles With Non-Parametric Driving Profile Prediction
,”
American Control Conference, IEEE
, Boston, MA, July 6–8, pp.
623
630
.10.1109/ACC.2016.7524983
24.
Katsargyri
,
G.-E.
,
Kolmanovsky
,
I.
,
Michelini
,
J.
,
Kuang
,
M.
,
Phillips
,
A.
,
Rinehart
,
M.
, and
Dahleh
,
M.
,
2009
, “
Path Dependent Receding Horizon Control Policies for Hybrid Electric Vehicles
,”
IEEE Control Applications & Intelligent Control)
,
IEEE
, St. Petersburg, Russia, July 8–10, pp.
607
612
.https://dahleh.lids.mit.edu/wpcontent/uploads/2011/09/Georgia.09.IEEE_.Path_.Dependent.pdf
25.
Sun
,
C.
,
Moura
,
S. J.
,
Hu
,
X.
,
Hedrick
,
J. K.
, and
Sun
,
F.
,
2014
, “
Dynamic Traffic Feedback Data Enabled Energy Management in Plug-In Hybrid Electric Vehicles
,”
IEEE Trans. Control Syst. Technol.
,
23
(
3
), pp.
1075
1086
.10.1109/TCST.2014.2361294
26.
Zhou
,
W.
,
Zhang
,
C.
,
Li
,
J.
, and
Fathy
,
H. K.
,
2016
, “
A Pseudospectral Strategy for Optimal Power Management in Series Hybrid Electric Powertrains
,”
IEEE Trans. Veh. Technol.
,
65
(
6
), pp.
4813
4825
.10.1109/TVT.2015.2466671
27.
Sotoudeh
,
S. M.
, and
HomChaudhuri
,
B.
,
2020
, “
A Robust Mpc-Based Hierarchical Control Strategy for Energy Management of Hybrid Electric Vehicles in Presence of Uncertainty
,”
Proceedings of American Control Conference,
Denver, CO, July 1–3, pp.
3065
3070
.10.23919/ACC45564.2020.9147288
28.
Sotoudeh
,
S. M.
,
Vellamattathil Baby
,
T.
,
Shahri
,
P. K.
,
Ghasemi
,
A. H.
, and
HomChaudhuri
,
B.
,
2021
, “
Hierarchical Robust Energy Management of Hybrid Electric Vehicles
,”
ASME Lett. Dyn. Syst. Control
,
1
(
3
), p.
031003
.10.1115/1.4048482
29.
Liu
,
J.
,
Peng
,
H.
, and
Filipi
,
Z.
,
2005
, “
Modeling and Analysis of the Toyota Hybrid System
,”
International Conference on Advanced Intelligent Mechatronics
, Vol.
1
, Monterey, CA, July 24–28, pp.
134
139
.https://www.engr.uvic.ca/~mech459/Pub_References/01500979.pdf
30.
Borhan
,
H.
,
Vahidi
,
A.
,
Phillips
,
A. M.
,
Kuang
,
M. L.
,
Kolmanovsky
,
I. V.
, and
Di Cairano
,
S.
,
2012
, “
Mpc-Based Energy Management of a Power-Split Hybrid Electric Vehicle
,”
IEEE Trans. Control Syst. Technol.
,
20
(
3
), pp.
593
603
.10.1109/TCST.2011.2134852
31.
Wiegand
,
B. P.
,
2015
, “
3602. Mass Properties and Advanced Automotive Design
,”
74th Annual Conference
, Alexandria, Virginia, Society of Allied Weight Engineers, Inc., May 2015, Alexandria, VA, p.
325
.https://www.sawe.org/papers/3602
32.
HomChaudhuri
,
B.
, and
Hall
,
C. M.
,
2018
, “
Model Predictive Control Based Energy Management of Power-Split Hybrid Electric Vehicles in Presence of Uncertainty
,”
Dynamic Systems and Control Conference
, Vol.
51906
,
American Society of Mechanical Engineers
, Atlanta, GA, Sep. 30–Oct. 3, V002T27A001.10.1115/DSCC2018-8961
33.
Strizzi
,
J.
,
Ross
,
I. M.
, and
Fahroo
,
F.
,
2002
, “
Towards Real-Time Computation of Optimal Controls for Nonlinear Systems
,”
AIAA
Paper No. AIAA 2002-4945.10.2514/6.2002-4945
34.
Fahroo
,
F.
, and
Ross
,
I. M.
,
2001
, “
Costate Estimation by a Legendre Pseudospectral Method
,”
J. Guid., Control, Dyn.
,
24
(
2
), pp.
270
277
.10.2514/2.4709
35.
Wei
,
S.
,
Zou
,
Y.
,
Sun
,
F.
, and
Christopher
,
O.
,
2016
, “
Energy Management Optimization for a Hybrid Tracked Vehicle Using the Radau Pseudospectral Method
,”
Energy Procedia
,
88
, pp.
957
963
.10.1016/j.egypro.2016.06.119
36.
Patterson
,
M. A.
, and
Rao
,
A. V.
,
2014
, “
GPOPS-II: A MATLAB Software for Solving Multiple-Phase Optimal Control Problems Using HP-Adaptive Gaussian Quadrature Collocation Methods and Sparse Nonlinear Programming
,”
ACM Trans. Math. Softw.
,
41
(
1
), pp.
1
37
.10.1145/2558904
37.
Boyd
,
S.
,
Boyd
,
S. P.
, and
Vandenberghe
,
L.
,
2004
,
Convex Optimization
,
Cambridge University Press
, Cambridge, UK.
38.
Kothare
,
M. V.
,
Balakrishnan
,
V.
, and
Morari
,
M.
,
1996
, “
Robust Constrained Model Predictive Control Using Linear Matrix Inequalities
,”
Automatica
,
32
(
10
), pp.
1361
1379
.10.1016/0005-1098(96)00063-5
39.
Löfberg
,
J.
,
2004
, “
Yalmip: A Toolbox for Modeling and Optimization in Matlab
,” 2004 IEEE international conference on robotics and automation (
IEEE Cat. No. 04CH37508
)
, Taipei, Taiwan, Sept. 2–4, pp.
284
289
.10.1109/CACSD.2004.1393890
40.
Wipke
,
K. B.
, and
Cuddy
,
M. R.
,
1996
, “
Using an Advanced Vehicle Simulator (ADVISOR) to Guide Hybrid Vehicle Propulsion System Development
,” National Renewable Energy Lab., Golden, CO, Report No.
NREL/TP-425-21615; CONF-9609227-2ON: DE96013095
; TRN: 97:004861.https://digital.library.unt.edu/ark:/67531/metadc691808/
41.
Herrera
,
J. C.
,
Work
,
D. B.
,
Herring
,
R.
,
Ban
,
X. J.
,
Jacobson
,
Q.
, and
Bayen
,
A. M.
,
2010
, “
Evaluation of Traffic Data Obtained Via Gps-Enabled Mobile Phones: The Mobile Century Field Experiment
,”
Transport. Res. Part C Emerg. Technol.
,
18
(
4
), pp.
568
583
.10.1016/j.trc.2009.10.006
You do not currently have access to this content.