An Energy-Saving Torque Vectoring Control Strategy for Electric Vehicles Considering Handling Stability Under Extreme Conditions

Four-wheel independently actuated electric vehicles (FWIA EVs) allow variable distributions of driving torques among individual wheels to improve vehicle performance. To reduce energy consumption while ensuring handling stability, we propose an optimal torque vectoring control strategy based on a tw...

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Published inIEEE transactions on vehicular technology Vol. 69; no. 10; pp. 10787 - 10796
Main Authors Hu, Xiao, Chen, Hong, Li, Zihan, Wang, Ping
Format Journal Article
LanguageEnglish
Published New York IEEE 01.10.2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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Abstract Four-wheel independently actuated electric vehicles (FWIA EVs) allow variable distributions of driving torques among individual wheels to improve vehicle performance. To reduce energy consumption while ensuring handling stability, we propose an optimal torque vectoring control strategy based on a two-level distribution formula. This strategy can naturally decouple front/rear axle torque vectoring from left/right torque vectoring and avoid the contradiction between stability and energy saving. First, considering the motor efficiency, the vehicle's total torque is optimally distributed to the front and rear axles based on model predictive control. Then, based on the front/rear axle distribution ratio, the left/right torque vectoring is revised to produce a suitable additional yaw moment to improve the handling stability. A sliding mode controller is designed to track the reference yaw rate calculated from a nonlinear reference model. The nonlinear reference model is more suitable for extreme conditions due to the accurate reflection of the nonlinear characteristics. A suitable additional yaw moment can ensure vehicle stability and avoid excessive energy consumption due to vehicle instability. The simulation and hardware-in-the-loop experimental results demonstrate that the proposed control strategy can reduce energy consumption while ensuring vehicle stability.
AbstractList Four-wheel independently actuated electric vehicles (FWIA EVs) allow variable distributions of driving torques among individual wheels to improve vehicle performance. To reduce energy consumption while ensuring handling stability, we propose an optimal torque vectoring control strategy based on a two-level distribution formula. This strategy can naturally decouple front/rear axle torque vectoring from left/right torque vectoring and avoid the contradiction between stability and energy saving. First, considering the motor efficiency, the vehicle's total torque is optimally distributed to the front and rear axles based on model predictive control. Then, based on the front/rear axle distribution ratio, the left/right torque vectoring is revised to produce a suitable additional yaw moment to improve the handling stability. A sliding mode controller is designed to track the reference yaw rate calculated from a nonlinear reference model. The nonlinear reference model is more suitable for extreme conditions due to the accurate reflection of the nonlinear characteristics. A suitable additional yaw moment can ensure vehicle stability and avoid excessive energy consumption due to vehicle instability. The simulation and hardware-in-the-loop experimental results demonstrate that the proposed control strategy can reduce energy consumption while ensuring vehicle stability.
Author Li, Zihan
Wang, Ping
Chen, Hong
Hu, Xiao
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Cites_doi 10.1177/0954407017751788
10.1109/TIE.2017.2682024
10.1109/TVT.2016.2526663
10.1109/TVT.2017.2778067
10.1016/j.mechmachtheory.2019.103586
10.1109/TMECH.2019.2942621
10.1109/TVT.2019.2903872
10.1016/j.ymssp.2019.03.012
10.1080/00207721.2018.1460410
10.1109/ECC.2014.6862353
10.1080/00207721.2018.1479005
10.3390/en10070947
10.1177/0954407018756557
10.1109/TVT.2019.2950219
10.1016/j.ymssp.2017.08.042
10.1109/TVT.2017.2731525
10.1016/j.ifacol.2017.08.2189
10.1080/00423114.2015.1064972
10.1080/00423114.2014.991331
10.1016/S0005-1098(99)00214-9
10.1076/vesd.41.3.203.26510
10.1016/j.ejcon.2013.03.004
10.1007/s12555-017-0509-0
10.1109/TCST.2017.2753169
10.1007/s11081-018-9417-2
10.1080/00423114.2019.1585557
10.1080/00423114.2015.1028414
10.1016/j.conengprac.2015.12.012
10.1177/2041304110394558
10.3390/en12030388
10.1109/TVT.2020.2980169
10.1109/TVT.2012.2191627
10.1007/s11432-018-9519-x
10.1007/s12239-013-0084-1
10.1177/0954407019845717
10.1109/TCST.2012.2200826
10.1109/TVT.2014.2305475
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References ref35
ref13
ref34
ref12
ref15
ref36
ref14
pan (ref27) 2015; 53
ref31
ref33
ref11
ref32
ref10
ref2
ref1
ref39
ref17
ref38
ref16
ref19
ref18
inagaki (ref37) 1995; 16
ref24
ref23
ref26
ref25
ref22
ref21
ref28
ref29
ref8
chen (ref30) 2013
ref7
ref9
ref4
ref3
ref6
ref5
ke (ref20) 2018; 49
References_xml – ident: ref11
  doi: 10.1177/0954407017751788
– ident: ref8
  doi: 10.1109/TIE.2017.2682024
– ident: ref19
  doi: 10.1109/TVT.2016.2526663
– ident: ref12
  doi: 10.1109/TVT.2017.2778067
– ident: ref21
  doi: 10.1016/j.mechmachtheory.2019.103586
– ident: ref5
  doi: 10.1109/TMECH.2019.2942621
– volume: 16
  start-page: 216
  year: 1995
  ident: ref37
  article-title: Analysis on vehicle stability in critical cornering using phase-plane method
  publication-title: JSAE Rev
– start-page: 1
  year: 2013
  ident: ref30
  publication-title: Model Predictive Control
– ident: ref17
  doi: 10.1109/TVT.2019.2903872
– ident: ref9
  doi: 10.1016/j.ymssp.2019.03.012
– ident: ref23
  doi: 10.1080/00207721.2018.1460410
– ident: ref36
  doi: 10.1109/ECC.2014.6862353
– volume: 49
  start-page: 1795
  year: 2018
  ident: ref20
  article-title: MPC-based compensation control system for the yaw stability of distributed drive electric vehicle
  publication-title: Int J Syst Sci
  doi: 10.1080/00207721.2018.1479005
– ident: ref25
  doi: 10.3390/en10070947
– ident: ref39
  doi: 10.1177/0954407018756557
– ident: ref2
  doi: 10.1109/TVT.2019.2950219
– ident: ref18
  doi: 10.1016/j.ymssp.2017.08.042
– ident: ref32
  doi: 10.1109/TVT.2017.2731525
– ident: ref26
  doi: 10.1016/j.ifacol.2017.08.2189
– ident: ref16
  doi: 10.1080/00423114.2015.1064972
– volume: 53
  start-page: 215
  year: 2015
  ident: ref27
  article-title: A novel integrated chassis controller for full drive-by-wire vehicles
  publication-title: Veh Syst Dyn
  doi: 10.1080/00423114.2014.991331
– ident: ref31
  doi: 10.1016/S0005-1098(99)00214-9
– ident: ref22
  doi: 10.1076/vesd.41.3.203.26510
– ident: ref6
  doi: 10.1016/j.ejcon.2013.03.004
– ident: ref24
  doi: 10.1007/s12555-017-0509-0
– ident: ref15
  doi: 10.1109/TCST.2017.2753169
– ident: ref35
  doi: 10.1007/s11081-018-9417-2
– ident: ref38
  doi: 10.1080/00423114.2019.1585557
– ident: ref33
  doi: 10.1080/00423114.2015.1028414
– ident: ref13
  doi: 10.1016/j.conengprac.2015.12.012
– ident: ref28
  doi: 10.1177/2041304110394558
– ident: ref1
  doi: 10.3390/en12030388
– ident: ref34
  doi: 10.1109/TVT.2020.2980169
– ident: ref4
  doi: 10.1109/TVT.2012.2191627
– ident: ref3
  doi: 10.1007/s11432-018-9519-x
– ident: ref10
  doi: 10.1007/s12239-013-0084-1
– ident: ref29
  doi: 10.1177/0954407019845717
– ident: ref14
  doi: 10.1109/TCST.2012.2200826
– ident: ref7
  doi: 10.1109/TVT.2014.2305475
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Snippet Four-wheel independently actuated electric vehicles (FWIA EVs) allow variable distributions of driving torques among individual wheels to improve vehicle...
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SubjectTerms Axles
Control stability
Control systems design
Electric vehicles
Energy conservation
Energy consumption
energy savings
Four-wheel independently actuated electric vehicles
Handling
Hardware-in-the-loop simulation
model predictive control
Optimization
Predictive control
Shafts (machine elements)
Sliding mode control
Stability analysis
Strategy
Tires
Torque
torque distribution
vehicle stability
Wheels
Yawing moments
Title An Energy-Saving Torque Vectoring Control Strategy for Electric Vehicles Considering Handling Stability Under Extreme Conditions
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