Table A1

Vehicle model parameters and symbols

SymbolParameter nameValueUnit
mtTractor mass8,500kg
msSemitrailer mass7,600kg
atDistance from tractor’s centriod to front axle1.8m
btDistance from tractor’s centriod to rear axle2.1m
cDistance from tractor’s centriod to articulated point1.8m
asDistance from semitrailer’s centriod to articulated point5.05m
bsDistance from semitrailer’s centriod to rear axle2.9m
IztTractor’s yaw moment of inertia35,100kgm2
IzsSemitrailer’s yaw moment of inertia107,800kgm2
JwWheel moment of inertia0.4kgm2
rwWheel radius0.505m
IwMoment of inertia of steering wheel around spin10kgm2
CwDamping coefficient of steering wheel around spin60
KwSteering system stiffness2,000kgm2
εTractor front tire pneumatic trail0.01m
δfFront wheel steering angle of tractorrad
φtTractor yaw anglerad/s
φsSemitrailer yaw anglerad/s
θArticulated anglerad
ωwf(r)Front (rear) wheels’ rolling angular velocity of tractorrad/s
ωsWheels’ rolling angular velocity of semitrailerrad/s
uwf(r)Tractor’s velocities of front and rear wheels’ centersm/s
uwsSemitrailer’s velocities of wheels’ centersm/s
Fyf(r)Front (rear) wheels’ lateral force of tractorN
FysWheels’ lateral force of semitrailerN
FxfcTractor’s front axle longitudinal driving force by controllerN
FxrcTractor’s rear axle longitudinal driving force by controllerN
FxscSemitrailer’s axle longitudinal driving force by controllerN
McYaw moment by controllerNm
δswcSteering wheel angle by controllerrad

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