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Anti-Lock Brake System Control Using An Innovative Anti-Lock Brake System Control Using An Innovative Intelligent Tire-Vehicle Integrated Dynamic Friction Intelligent Tire-Vehicle Integrated Dynamic Friction
Estimation TechniqueEstimation Technique
Kanwar Bharat Singh, Graduate StudentKanwar Bharat Singh, Graduate StudentSaied Taheri, Associate ProfessorSaied Taheri, Associate Professor
Mechanical Engineering DepartmentMechanical Engineering DepartmentCenter for Vehicle Systems and SafetyCenter for Vehicle Systems and SafetyIntelligent Transportation LaboratoryIntelligent Transportation LaboratoryVirginia TechVirginia Tech
2
State of the art - Modern Day Chassis Control SystemsState of the art - Modern Day Chassis Control Systems
IMU (6 axis)
Wheel Speed Sensors
Steering Wheel Angle Sensor
Vehicle With On-board Sensors
Vehicle State Estimator
Integrated Chassis
Controller
Control Inputs
Driver Input
Estimated StatesABS CMD
AFS CMD
CDC CMD
Estimated tire forces and tire–road friction coefficient
Controller Optimizes The Tire UsageController Optimizes The Tire Usage
On-line Measurements Of The State-of-the Vehicle
Knowledge Of Current Tire Knowledge Of Current Tire Force Utilization Level And Force Utilization Level And
Handling LimitsHandling Limits
Critical Critical InputInputForForTheThe
ControllerController
Masterpiece Of Both Technological Innovation And Impeccable DesignMasterpiece Of Both Technological Innovation And Impeccable Design
Ride and Handling CharacteristicsRide and Handling Characteristics
Advanced Chassis Control SystemAdvanced Chassis Control System
Increased Vehicle Safety
Increased Comfort
Better HandlingPerformance
What?What?
How?How?
Why?Why?
Host of Technological Innovations
Optimizing the interaction between the subsystems of a vehicleOptimizing the interaction between the subsystems of a vehicle
0 100 200 300 400 500-30
-20
-10
0
10
20
30
Yaw
rat
e [D
eg/s
ec]
Time[S]
3
Nonlinear Tire and Vehicle Model
Vehicle State Estimator ArchitectureVehicle State Estimator Architecture
Steering Wheel Angle
Vehicle State EstimatorVehicle State EstimatorDigital Signal Processing (DSP) Chip
Actual Vehicle
Actual Sensor Output
Estimated Sensor Output
Vehicle CAN BusVehicle CAN Bus
EstimatedStates
Vehicle ControllerVehicle Controller
+ -
FeedbackCorrection
0 100 200 300 400 500-30
-20
-10
0
10
20
30
Yaw
rat
e [D
eg/s
ec]
Time[S]
Actual Yaw Rate Estimated Yaw Rate
Fx, Fy, Fz
Estimate Of The Estimate Of The Tire ForcesTire Forces
Input To The Controller
Virtual Sensor Excited With Driver Input Model Based Outputs And Actual Sensors Measurements To Make Estimates Of Unknown Measurements
Implemented A Nonlinear State Estimator Using A High Fidelity Vehicle Dynamics Model
4
Tire-Force Estimator PerformanceTire-Force Estimator PerformanceTire Force Estimates
0 10 20 30 40 50 60 70 80 90-1.5
-1
-0.5
0
0.5
1
1.5x 10
4
Time [S]
[N]
Lateral Force - Front Axle
ActualEstimated
0 10 20 30 40 50 60 70 80 90-1
-0.5
0
0.5
1x 10
4
Time [S]
[N]
Lateral Force - Rear Axle
ActualEstimated
0 10 20 30 40 50 60 70 80 90 100-2
-1.5
-1
-0.5
0
0.5
1
1.5
2x 10
4
Time [S]
[N]
Longitudinal Force - Front Axle
ActualEstimated
Vehicle CAN Bus
Tire Force Estimator Architecture
4
What About The Performance Under Extreme Maneuvers? What About The Performance Under Extreme Maneuvers?
Situations in which the controllers should intervene to avoid a major mishap
5
Performance Under Extreme ConditionsPerformance Under Extreme Conditions
0 1 2 3 4-8000
-6000
-4000
-2000
0
Time [S]
[N]
Fxfl
Actual
Estimated
0 1 2 3 4-8000
-6000
-4000
-2000
0
Time [S]
[N]
Fxrl
Actual
Estimated
0 1 2 3 4-2500
-2000
-1500
-1000
-500
0
500
Time [S][N
]
Fxfr
Actual
Estimated
0 1 2 3 4-2500
-2000
-1500
-1000
-500
0
500
Time [S]
[N]
Fxrr
Actual
Estimated
Tire Force Estimates
What are the main sources of error?What are the main sources of error?
Significant Error In The Tire-Significant Error In The Tire-Force EstimatesForce Estimates
Could Be Detrimental To The Could Be Detrimental To The Performance Of Vehicle Stability Performance Of Vehicle Stability
Control Algorithms!!Control Algorithms!!
VVEEHHIICCLLEE
UUNNSSTTAABBLLEE
6
xF
yF
Tire Model( )
zF
Normal load
( )Slip ratio
( )Slipangle
( )Frictioncoefficient
Vehicle Model
Vehicle State Estimator
Inputs Variables For A Typical Tire Inputs Variables For A Typical Tire ModelModel
How exactly do we estimate these variables?How exactly do we estimate these variables?
Slip-ratio
Friction Coefficient
Sensor Info Vehicle observer Info
, , ', ,y xa a r , ,y xv v
11
* * ** *
2( )
*tan
*
using nonlinear observers
static
s r u a s rZ Z y x
y
x
e
m h m h m hF F a a
t a b
v l r
v
v r
v
Indirect Estimation Indirect Estimation TechniqueTechnique
Current Tire-Force Estimation MethodologyCurrent Tire-Force Estimation Methodology
Vehicle CAN busVehicle State Estimator
Load
Slipangle
Slip-ratio
Friction Coefficient
7
effects of payload parametric variations on the LWV states
Uncertainties Of Each Sensor And State Estimators Used In The Estimation Uncertainties Of Each Sensor And State Estimators Used In The Estimation Of These Variables Reduces The Accuracy And Reliability Of The Tire Force Of These Variables Reduces The Accuracy And Reliability Of The Tire Force
EstimatesEstimates
Incorrectly detected large banking angles when none existed e.g. when driving and side slipping
on a frozen lake.
Modeling error: Dynamics of the roll motion are different during normal operation (all
wheels on the ground) and in rollover phase (in two wheel lift off condition).
Challenge is to differentiate the bias induced by road bank disturbances from actual effect of vehicle lateral dynamics in current measurements
Effects of payload parametric variations on the vehicle model states
Indirect Estimation Techniques Have Several Inherent WeaknessesIndirect Estimation Techniques Have Several Inherent Weaknesses
Drawback…Drawback…
8
The Way ForwardThe Way ForwardDevelop a Direct Parameter Estimation TechniqueDevelop a Direct Parameter Estimation Technique
Robust And Prompt Information About Robust And Prompt Information About The Contact DynamicsThe Contact Dynamics
Measured Data Would Be Directly Measured Data Would Be Directly Available Without Any Uncertainty-adding Available Without Any Uncertainty-adding
ProceduresProcedures
Direct Estimation Technique
MethodologyMethodology
Attach Sensor Modules To The
Innerliner
Intelligent Tire System
Add “Intelligence” Add “Intelligence” To The Modern Day To The Modern Day
Passive Tire Passive Tire
9
Low Grip
On-board Vehicle On-board Vehicle ControllerController
Driver Assist SystemDriver Assist System
The Tire of The FutureThe Tire of The Future
(Improve the performance of current control systems like
ABS/VSC)
Vehicle Equipped With Intelligent TiresVehicle Equipped With Intelligent Tires
Tire Force Feedback Based Advanced Chassis Control Systems for Vehicle Handling and Active
Safety
““Tire- In -The Loop (TIL) System”Tire- In -The Loop (TIL) System”
(Drivers can adjust their driving style)
Feedback Feedback From From
The TireThe Tire
10
Project Roadmap - Paths of DevelopmentProject Roadmap - Paths of DevelopmentPath 1Path 1
Tire Instrumentation & Testing
Path 2Path 2Sensor Signal Processing & Algorithm Development
Path 3Path 3 Vehicle Integration
(Sensor Fusion)
Path 4Path 4Development Of Chassis
Control System Algorithms
Sensor Glued To The Inner Liner
In-house Tire Test Trailer Based Testing
Outdoor Vehicle Based Testing
0 50 100 150 200 250 300 350-2000
-1500
-1000
-500
0
500
1000
1500
Wheel Turn [ ]
Accele
rati
on
[m
/s2 ]
Radial Acceleration
Fx, Fy, Fz
Raw Signal
Processing Algorithm
Fx, Fy, Fz,µ
Estimate Additional Vehicle States Required For Developing Integrated
Chassis Control Algorithms
Vehicle CAN bus
Vehicle Equipped With Intelligent Tires
Algorithm For Estimating Tire
Forces And Tire-road Friction Coefficient
CAN
Bus
ABS/VSC/EBD/AFS/
DYCCommand
ControllerNon – linear Vehicle Model
Tire Force Distribution Algorithm
Tire Sensor Signal
Identity Sensor PlatformsIdentity Sensor PlatformsFor Tire ApplicationsFor Tire Applications Convert To Valuable InformationConvert To Valuable Information Estimate Additional StatesEstimate Additional States Performance ImprovementPerformance Improvement
11
Tire Instrumentation and TestingTire Instrumentation and Testing
Extensive Extensive OutdoorOutdoorTestingTesting
High Speed TestingHigh Speed Testing Wet TestingWet Testing
Outdoor Vehicle Based TestingOutdoor Vehicle Based Testing
Asphalt/Concrete TestingAsphalt/Concrete Testing Gravel TestingGravel Testing
Tri-axial accelerometerSensor placed in the crown
region
Sensor Location
Mounting: Adhesive
Evaluate the system performance in real world conditions
Goal: Examine Sensor Performance
Implement Implement Design Design Optimize OptimizePath1 Path2 Path3 Path4
0 50 100 150 200 250 300 350-50
0
50
100
150
Wheel Turn [ ]
Ac
ce
lera
tio
n [
g]
Lateral Acceleration
0 50 100 150 200 250 300 350-300
-200
-100
0
100
200
300
Wheel Turn [ ]
Ac
ce
lera
tio
n [
g]
Radial Acceleration
0 50 100 150 200 250 300 350-300
-200
-100
0
100
200
300
Wheel Turn [ ]
Ac
ce
lera
tio
n [
g]
Circumferential Acceleration
12
XX
YY
ZZ
Sensor Signal for One Tire RotationSensor Signal for One Tire Rotation
Sensor SignalSensor Signal
DDYYNNAAMMIICC
PPHHEENNMMEENNOONN
Linked to0 50 100 150 200 250 300 350
-300
-200
-100
0
100
200
300
Wheel Turn [ ]
Ac
ce
lera
tio
n [
g]
CircumferentialLateralRadial
Leading Edge Trailing Edge
0 1 2 3-800
-600
-400
-200
0
200
400
600
800Constant Speed Test
Acc
eler
atio
n[m
/s2 ]
Time [S]0 1 2 3 4 5
-300
-200
-100
0
100
200
300
400Acceleration (traction) Test
Acc
eler
atio
n[m
/s2 ]
Time [S]0 1 2 3 4
-600
-400
-200
0
200
400
600
Time [S]
Acc
eler
atio
n [
m/s
2 ]
Decceleration (braking) Test
9 10 11 12 13 14
-1000
-800
-600
-400
-200
0
200
400
600
800
1000
Time [S]
Acc
eler
atio
n [
m/s
2 ]
Steering TestTireTire
Engineering Engineering Dimensions & Dimensions &
CharacteristicsCharacteristics
Algorithm Development ProcessAlgorithm Development Process
Feature Feature Extraction Extraction AlgorithmAlgorithm
RRAAWW
SSIIGGNNAALL
Test Data Test Data From From
Extensive Extensive Outdoor Outdoor TestingTesting
Path1 Path2 Path3 Path4Goal: Derive a correlation between the signal and physical phenomenon under investigation
Raw Signal
Valuable Information
13Path1 Path2 Path3 Path4
Signal Processing and Feature ExtractionSignal Processing and Feature Extraction
0 50 100 150 200 250 300 350
-300
-200
-100
0
100
200
300
Wheel Turn [ ]
Accele
rati
on
[g
]
CircumferentialLateralRadial
Raw SignalRaw SignalPeak Peak
DetectionDetection
Digital Digital IntegratorIntegrator
Signal Signal AmplitudeAmplitude
Slope Slope EstimationEstimation
Power Spectral Power Spectral DensityDensity
Wavelet Wavelet TransformTransform
20 40 60 80 100 120 140 160 180 200 22026
28
30
32
34
36
38
40
42
44
46Total Signal Power per Revolution
No
rmal
ized
po
wer
[d
B]
Revolution Number
20 40 60 80 100 120 140 160 180 200 22026
28
30
32
34
36
38
40
42
44
46Total Signal Power per Revolution
No
rmal
ized
po
wer
[d
B]
Revolution Number
Contact Patch LengthContact Patch Length
Signal SlopeSignal Slope
Signal Power (Domain Extracted) Signal Power (Domain Extracted)
Multiresolution Signal Multiresolution Signal Decomposition (Signal Decomposition (Signal
Energy Content)Energy Content)
Locus Of Locus Of DeformationDeformation
Vibration Vibration RatioRatio
( )
( )
( )
( )
zF Normal load
Slipangle
Slip ratio
Frictioncoefficient
Develop Estimation Algorithms To Estimate Variables Of
Interest
Summary of Signal Feature Extraction Algorithms
14
Load (Fz) Estimation AlgorithmLoad (Fz) Estimation Algorithm
Inputs Output
Artificial Neural Network (ANN) Based Parameter Estimation AlgorithmArtificial Neural Network (ANN) Based Parameter Estimation Algorithm
FzFz
Features:Footprint lengthRadial Deformation
0 50 100 150 200800
900
1000
1100
1200
1300
1400
1500
1600
1700
1800
Tir
e L
oa
d [
lbs
]
Time[S]
ActualEstimated
Can we capture the load transfer effects using a single point sensor ? Can we capture the load transfer effects using a single point sensor ?
Longitudinal Load Longitudinal Load TransferTransfer
Lateral Load TransferLateral Load Transfer
AccelerationBraking
Steady State Axle Steady State Axle Load Variations Load Variations
Oscillations At Body Bounce And Wheel Hop Frequencies
zF Static load Lateral load transfer Longitudinal load transfer
Critical for any vehicle dynamics applicationCritical for any vehicle dynamics applicationPath1 Path2 Path3 Path4
Limitation: Working With A Single Point Limitation: Working With A Single Point SensorSensor
15
Dynamic Tire Load Estimation AlgorithmDynamic Tire Load Estimation Algorithm
CAN
BUS
xa
ya
Vehicle Vehicle Equipped Equipped
With With Intelligent Intelligent
TiresTires
, , ,FL FR RL RRz z z zF F F F
Load Transfer Ratio (LTR) Roll Angle
Estimate (bank angle compensated)
Parameter Adaptation
m
'
Information from an intelligent tire
Kalman Filter(Observer)
Roll angle
Roll rate
ya xa
Dynamic Tire Load Dynamic Tire Load Estimation Estimation AlgorithmAlgorithm
'
:
:
:
:
:
:ii
y
x
z
a Lateral acceleration
a Longitudinal acceleration
Roll rate
Roll angle
m Vehiclemass
F Tire load
Static normal load
AdaptiveLoad Transfer Ratio (ALTR)Estimation ya
xa(adaptive parameter
estimation)
'
Path1 Path2 Path3 Path4
Developed ADeveloped ASensor Fusion Sensor Fusion
ApproachApproach
Intelligent tireIntelligent tire++
Vehicle CAN BusVehicle CAN Bus
15
2.6 2.8 3 3.2 3.4 3.6 3.8
x 104
0
1000
2000
3000
4000
5000
6000
7000
Time [S]
Fz F
L [
N]
Tire Load Estimate
Actual (Force Hub)Estimated (Intelligent Tire + Observer
Experimental ValidationExperimental Validation
-400 -300 -200 -100 0 100 200 300 400-800
-600
-400
-200
0
200
400
600
Xposition
[m]
Yp
osi
tio
n [
m]
Vehicle Path
-2 -1.5 -1 -0.5 0 0.5 1 1.5 2-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
Lateral Acceleration [g]
Lo
ng
itu
din
al
Ac
ce
lera
tio
n [
g]
g-g diagram
Path1 Path2 Path3 Path4
Extensive outdoor tests under severe handling maneuvers
16Path1 Path2 Path3 Path4
0 50 100 150 200 250 300 350
-400
-200
0
200
400
600
Ac
ce
lera
tio
n [
m/s
2 ]
Lateral Acceleration- With Slip angle
0 50 100 150 200 250 300 350-500
0
500
Ac
ce
lera
tio
n [
m/s
2 ]
Lateral Acceleration - No Slip angle
Leading Edge Trailing Edge
Locus Of Locus Of DeformationDeformation
Multiresolution Multiresolution DecompositionDecomposition
Help us to Help us to recognize recognize
sliding sliding conditionsconditions
Direct tire slip angle estimationDirect tire slip angle estimation from the tire sensor measurementsfrom the tire sensor measurements
Tire Slip-angle Estimation AlgorithmTire Slip-angle Estimation Algorithm
1.21 1.22 1.23 1.24 1.25 1.26 1.27 1.28 1.29-12
-10
-8
-6
-4
-2
0
2
4
6x 10
-3
Lateral Deflection - Tire Centerline
Lat
eral
D
efle
ctio
n
Time
SA=0
SA=1
SA=3
Lateral Displacement Of The Contact PatchLateral Displacement Of The Contact Patch
1.21 1.22 1.23 1.24 1.25 1.26 1.27 1.28 1.29-12
-10
-8
-6
-4
-2
0
2
4
6x 10
-3
Lat
eral
Def
lect
ion
Time
SA=0
SA=1
SA=3
SA=5
Saturation EffectAt Higher Slip
Angles
0 500 1000 150020
25
30
35
40
45
50
55
60
65
Frequency [Hz]
Po
wer
[d
B]
Slip Angle Sweep Dependence Study- Frequency Domain
Straight Line Slip Angle SweepIdentify frequency
bands where vibrations rise due to sliding
Strain Will Saturate
17
Dynamic Tire Slip-angle Estimation AlgorithmDynamic Tire Slip-angle Estimation Algorithm
Tire Slip Angle ObserverTire Slip Angle Observer
2^ ^ ^1 1front rearf y y
x z x x z x
a abF F r
mv I v mv I v
, ,xv r ^ ^
,front reary yF F
Single-track model
Dynamics of slip angle
Vehicle CAN Bus
??
2^ ^ ^
The update equation for the front slip angle
1 1front rearf y y
x z x x z x
a abF F r
mv I v mv I v
Path1 Path2 Path3 Path4
^ ^ ^ ^
, ,front rear front righty y x xF F F F
(not available)(not available)availableavailable
Developed an online nonlinear axle-force estimatorDeveloped an online nonlinear axle-force estimator
Highlights: Observer uses
sensor information already available in modern cars equipped with VSC
No prior knowledge of tire characteristics, such as a Pacejka model, is required to implement the observer.
0 50 100-6000
-4000
-2000
0
2000
4000
6000
Time [S]
[N]
Fxfront
left
ActualEstimated
0 50 100-6000
-4000
-2000
0
2000
4000
6000
Time [S]
[N]
Fxfront
right
ActualEstimated
0 50 100-5000
0
5000
Time [S]
[N]
Fxrear
left
ActualEstimated
0 50 100-5000
0
5000
Time [S]
[N]
Fxrear
right
ActualEstimated
0 20 40 60 80 100-1.5
-1
-0.5
0
0.5
1x 10
4
Time [S]
[N]
Lateral Force - Front Axle
ActualEstimated
0 20 40 60 80 100-1
-0.5
0
0.5
1x 10
4
Time [S]
[N]
Lateral Force - Rear Axle
ActualEstimated
Tire-Axle Force Estimator PerformanceTire-Axle Force Estimator Performance
Vehicle CAN Bus
Nonlinear Observer –Tire-Axle Force
Estimator
Longitudinal Force Estimator
– Per Wheel
frontFy
rearFy
right right left leftf r f rFx Fx Fx Fx
, ,x ya a r
xa BrakeCMD
Signal
, , ,right right left leftf r f rFx Fx Fx Fx
, , ,fl fr rl rrzF
18
Estimation ResultsEstimation Results
Vehicle equipped with VSC controller
*Evaluated performance using the commercial software CARSIM
180 1 2 3 4 5 6 7 8 9 10
-8
-6
-4
-2
0
2
4
6
8
10
12
Time [S]
Sli
p a
ng
le [ ]
Slip Angle Estimator- Performance
ActualEstimated Without FeedbackEstimated With FeedbackImproved Performance Improved Performance
Specially In The Nonlinear Specially In The Nonlinear Region Of HandlingRegion Of Handling
Dynamic Tire Slip-angle Estimation AlgorithmDynamic Tire Slip-angle Estimation Algorithm
Validation ResultsValidation Results
intelligent tire
2^ ^ ^ ^ ^1 1( )
front rearf y y f fx z x x z x
a abF F r k
mv I v mv I v
Feedback Term
Intelligent Tire
Path1 Path2 Path3 Path4
Low Frequency
Vehicle CAN bus Vehicle State Estimator
High Frequency High Frequency
19
Dynamic Tire Slip-ratio Estimation AlgorithmDynamic Tire Slip-ratio Estimation Algorithm
Path1 Path2 Path3 Path4
ABS Module
High Frequency Vibrations Appear In The Acceleration Data In The Radial Direction
Of The Tire.
Slip-ratio estimator
Slip state in the contact patch
ABS slip-ratio estimator –During a hard braking event- significant error in our estimates of slip-ratio.
Get a measure of the slip state of the tire by identifying high frequency vibrations in the acceleration data-Feedback for our slip-ratio estimator.
Combination of slip-ratio + tire slip state estimatorCombination of slip-ratio + tire slip state estimator
20
Dynamic Tire Force EstimationDynamic Tire Force Estimation
Intelligent TireIntelligent Tire
Vehicle CAN BusVehicle CAN Bus
Vehicle Vehicle &&
Tire ModelTire Model
SSEENNSSOORR
FFUUSSIIOONN
, ,zF xF
yF
Path1 Path2 Path3 Path4
, ,zF
High High FrequencyFrequency(reliable)(reliable)
Low Low FrequencyFrequency
xF v/s λ
yF v/s
Self Aligning Torque ObserverSelf Aligning Torque Observer
0 2 4 6 8 10 12 14 16-20
-15
-10
-5
0
5
10
15
20
Time [S]S
elf
Alig
nin
g T
orq
ue
[Nm
]
a simulation
a estimated
0 2 4 6 8 10 12 14 16-40
-30
-20
-10
0
10
20
30
40
Time [S]
Ste
erin
g W
hee
l An
gle
[ ]
Input steering wheel angle
Observer Performance
Electric power steering (EPS) is becoming common in modern day cars. . Linear disturbance observer enables us to extract self aligning torque from steering torque measurements.
Observer
0 2 4 6 8 10 12-100
-50
0
50
100
150
200
Slip Angle [ ]
Mz[N
m]
Adaptation of the brush model towards experimental data
Cy = 65985.6898 = 0.28891
Cy = 95528.1811 = 0.95648
Experimental Data-Low
Brush Model- Low
Experimental Data-High
Brush Model- High
M v/sz
, , , , ,x y z zF F F M
‘‘Effect-based Approach”
MeasureThe Effects That Friction
Has On TheTires During Driving.
Attempt To ExtrapolateWhat The Limit Friction Will Be Based On This
Data
21
Friction Coefficient (µ )Estimation – Pure Slip ConditionsFriction Coefficient (µ )Estimation – Pure Slip Conditions
2 3 3
2
tan( ) tan( ) tan ( )1 1tan( )
3 27y y
y yz z
C CF C
F F
3tan( ) tan( )
13 3
y ya
z
C a C
F
Tire Model Used: Brush Model
Estimation Algorithm: NLLS
Tire Model Used : Brush Model
Estimation Algorithm: NLLS
Estimation Algorithm: NLLS0 20 40 60 80 100 120 140
0
1000
2000
3000
4000
5000
6000
7000Gough Plot
Self Aligning Moment (-Mz) [Nm]
Lat
eral
Fo
rce
(Fy)
[N
]
=1=0.6=0.2=1=2=3=4=5=6=7
0 2 4 6 8 10 12-100
-50
0
50
100
150
200
Slip Angle [ ]
Mz[N
m]
Adaptation of the brush model towards experimental data
Cy = 65985.6898 = 0.28891
Cy = 95528.1811 = 0.95648
Experimental Data-Low
Brush Model- Low
Experimental Data-High
Brush Model- High
2 3 3
2
3
tan( ) tan( ) tan ( )1 1tan( )
3 27
tan( ) tan( )1
3 3
y yy y
z z
y ya
z
C CF C
F F
C a C
F
Tire Model Used : Brush Model
Tire Model Used : Linear Model
x xF C
Estimation Algorithm: RLS
Tire Model Used : Brush Model
Estimation Algorithm: RLS 0 2 4 6 8 10 12 14 16 18 200
500
1000
1500
2000
2500
3000
3500
Slip Ratio []
Fx
Adaptation of the brush model towards MF tire model
= 1.1
= 0.95
= 0.35
= 0.2
Magic Formula- (Dry Asphalt)Brush Model- (Dry Asphalt)Magic Formula- (Wet Asphalt)Brush-Model- (Wet Asphalt)Magic Formula- (Snow)Brush-Model- (Snow)Magic Formula- (Ice)Brush-Model- (Ice)
32 3
2
1 11 1 11 3 27
x x
x xz z
C CF C
F F
Fy v/s
Slip angle
Mz v/s
Slip angle
Fy v/s Mz
Fx v/s
Slip ratio
Fx v/s
Slip ratio
“Force-Slip Method”
“Moment-Slip Method”
“Force-Moment Method”
“Force-Slip Method”
“Force-Slip Method”
ExcitationExcitation EstimatorEstimator Underlying PrincipleUnderlying Principle
Large Lateral Large Lateral ExcitationExcitation
(80 -100%)
Medium Lateral Medium Lateral ExcitationExcitation
(50 -80%)
Small Lateral Small Lateral ExcitationExcitation
(30 -50%)
Small Longitudinal Small Longitudinal ExcitationExcitation
(0 -2%)
Large Longitudinal Large Longitudinal ExcitationExcitation
(30 -100%)Looked at a number of different algorithms and did a parametric analysis to study the performance of each of these methods under different levels of excitation
22
LeftLeftTurnTurn
Coverage Of The Presented Estimation Method In The Friction CircleCoverage Of The Presented Estimation Method In The Friction Circle
RightRightTurnTurn
AccelerationAcceleration
DecelerationDeceleration
Friction Limit
-- -- Lateral Dynamics BasedLateral Dynamics Based
-- -- Longitudinal Dynamics BasedLongitudinal Dynamics Based
Large Excitation
Medium Excitation
Small Excitation
Large Excitation
Small Excitation
Typically, during a severe handling
maneuver, vehicle experiences combined
slip conditions!! Way Forward: Develop A Friction Estimator With
Increased Coverage
Pure slip methods cover almost all of the range of pure excitation
All these methods based on pure-slip assumption might not handle combined slip conditions.
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2 2 2 2 2
_ _2 2 2 2
( ) ( ) (1 ) cos ( ) ( )* *sin *cos
( ) tan ( ) ( )
x y xfront right front right
y x
F F C FFy Fx
CF F
2 2 2 2 2
_ _2 2 2 2
(1 ) cos ( ) ( ) sin ( )( ) ( ) tan( )* *cos *sin
sin( )( ) tan ( ) ( )
yx yfront right front right
y x
F CF FFy Fx
CF F
Increase Coverage Model Based µ EstimationIncrease Coverage Model Based µ EstimationNonlinear Least Squares Parameter EstimationNonlinear Least Squares Parameter Estimation
, ,C C
The required parameters for the estimation algorithm include:
L.H.SL.H.S R.H.SR.H.S
Tire load (Fz)Slip ratio (λ)Slip angle ()
(Unknown parameters being estimated)
_front rightFy
_front rightFy
, , ,right right left leftf r f rFx Fx Fx Fx
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Integrated Friction Estimation Algorithm – Flow DiagramIntegrated Friction Estimation Algorithm – Flow Diagram
Pure Longitudinal Slip Pure Lateral Slip Combined Slip
µ
2%
30%
Force-Slip Method
Small Slip-ratio Method
Force-Slip Method
Large Slip-ratio Method
Yes
Yes
Yes
Hold
limlower it nonlinear Force- Moment
Method
No
nonlinear sat
Yes
Moment-SlipMethod
No
sat Force-SlipMethod
Yes
Yes
NoHold
No
Combined-slip Tire Model Based Nonlinear Least Square Parameter Estimation Algorithm
No
No
No
Yes
2% lower threshold
Intelligent Tire
,
Path1 Path2 Path3 Path4
25Path1 Path2 Path3 Path4
Front Left
Rear Left
Front Right
Rear Right
Motivation to Motivation to Develop Advanced Develop Advanced
Chassis Control Chassis Control Systems for Vehicle Systems for Vehicle Handling and Active Handling and Active
SafetySafety
x
y
z
F
F
F
26
Anti-Lock Brake System (ABS)Anti-Lock Brake System (ABS)
Path1 Path2 Path3 Path4
The control target of ABS: The control target of ABS:
Keep the wheels from locking, thus guaranteeing good controllability of the vehicle and exploiting maximally the coefficient of friction between the tire and the road
Target Slip To Maximize The Brake Force Is Target Slip To Maximize The Brake Force Is Dependent On Road Surface Condition!!Dependent On Road Surface Condition!!
BackgroundBackground
Braking Force Braking Force Magnitudes Magnitudes
Depend On The Depend On The Tire Load Tire Load
ABS Module
(Optimal Slip Control)(Optimal Slip Control)
(Optimal Brake Force (Optimal Brake Force Distribution)Distribution)
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Present ABS Control StrategyPresent ABS Control Strategy
Path1 Path2 Path3 Path4
First part of the maneuver (about 1.5 s) is used by the control system to adjust braking pressure according to tire–road adherence conditions.
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.80
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
Normalized Front Axle Brake Force [Fxfront
/Vehicle Weight]No
rmal
ized
Rea
r A
xle
Bra
ke F
orc
e [F
xre
ar/V
ehic
le W
eig
ht]
ax=0.1g
0.2g
0.3g
0.4g
0.5g
0.6g
0.7g
0.8g
0.9g
1g
*ax= Vehicle Deceleration
Optimal Brake Force Distribution
UnladenLaden (payload increased by 25%)
Payload
Unladen
Laden
Road Surface Condition Based Target Slip SelectionRoad Surface Condition Based Target Slip Selection
Tire Load Based Optimal Force DistributionTire Load Based Optimal Force Distribution
Initial instants of a braking maneuver are often used by the ABS controller to detect weight distribution.
Reduces Reduces Effectiveness Of Effectiveness Of The ControllerThe Controller
v
v
28
An Intelligent Tire Based Adaptive ABS AlgorithmAn Intelligent Tire Based Adaptive ABS Algorithm
Path1 Path2 Path3 Path4
, ,x y zF F F
Intelligent TireEmulator
Optimal Slip Selector
desired
current+
-
Brake Preconditioning
Module
,desired desiredx yF F
e
AFS
MODULE
AFS Command
DYC Braking Command
ABS ModuleFuzzy/Sliding mode/Proportional
Integral (Fuzzy-SMC-PI (FSP)) control
bT
Optimal Force Distribution Algorithm
Brake Command
Driver
Vehicle states
Vehicle Yaw Moment And Lateral Force
Tracking Controller
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Controller PerformanceController Performance
Path1 Path2 Path3 Path4
Using the surface condition information from the intelligent tire makes it possible to apply a brake preconditioning algorithm & allows for a considerable decrease in the stopping distance (reduction in the stopping distance scales up to 4.1%)
Baseline ABS StrategyBaseline ABS Strategy Proposed Modified ABS StrategyProposed Modified ABS Strategy
Test Condition: Test Condition: Jump-Jump-μ μ Straightline Braking TestStraightline Braking Test
Friction Friction Estimator Estimator
PerformancePerformance
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ConclusionConclusion This work focuses on the possibility of enhancing the performance of the ABS (Antilock Braking System)/EBD (electronic braking distribution) control system by using the additional information provided by intelligent tires.
We expect the intelligent tire system to stimulate the development of a new generation of traction, braking and stability control systems for improving vehicle safety and performances.
Major challenge: Meeting the power supply needs of all the electronic components of an intelligent tire system.
Future Work Future Work Validate controller performance via hardware-in-the-loop (HIL) simulations.
HIL Setup, Intelligent Transportation LaboratoryVirginia Tech
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Thank You…Thank You…
Questions?