Gastcollege HAN Master of Control Systems Engineering

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    Driver Models for Tyre Testing:Why and How?

    Master Control Systems Engineering

    27 May 2009

    Ir. Saskia Monsma

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    Overview

    Introduction

    Research project Driver modelling

    Simulation study

    Experiments

    Conclusions & Follow Up

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    Introduction

    Researcher at Mobility Technology research &

    lecturer for Automotive engineering PhD-research:

    How to improve assessment methodsto judge driver-vehicle handling

    in relationship with tyre characteristics?

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    Handling, tyre characteristics

    Handling: cornering behaviour+ the drivers perception

    Tyre characteristics

    Tyrecharacteristics

    Construction compoundply-type

    carcass

    belt

    Dimensionaspect ratio

    size

    Servicetemperature

    wet/dryconditions

    Inner pressure

    Performance

    aligning torque

    cornering stiffness

    pneumatic trail

    peak lateral forcecoefficient

    braking force

    coefficient

    Aging

    wear-in

    wear after normal use

    slip angle

    V

    Fy

    0 5 10 15 (deg)

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    Relation:Tyre Characteristics

    Driver-Vehicle Handlingis not straightforward

    Many different tyre parameters

    There is a lot between tyre characteristics andvehicle performance

    steerbywire

    (active

    )suspe

    nsion

    electronicstabilitycontrol

    anti-lockbrakingsy

    stem

    tractioncon

    trol

    advanced

    driverassist

    system

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    Relation:Tyre Characteristics

    Driver-Vehicle Handlingis not straightforward

    Many different tyre parameters

    There is a lot between tyre characteristics andvehicle handling

    Vehicle handling performance needs to betranslated into tyre characteristics

    What is good driver-vehicle handling?

    Subjective (depends on person, brand of vehicle, etc. )

    Depends on drivers mental workload and control effort

    How to judge driver-vehicle handling? different assessment methods

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    Assessment Methods to judge(Driver-)Vehicle Handling (1)

    Objective vehicle tests Driver = steering machine characteristic data (e.g., response times, overshoot,

    bandwidth,..)

    Subjective rating Controllability, steerability, etc.

    Questions, statements: agree/disagree

    Closed loop achievement

    Driver must perform task as best as he can

    Circuit, (double) lane change on max. speed, elk-test, slalomon max. speed, etc.

    Reallifetesting

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    Assessment Methods to judge(Driver-)Vehicle Handling (2)

    Workload measures Driver performs a certain task (manoeuvre, sec. task)

    Steering Reversal Rate, High Frequency Area, Time to LineCrossing

    Combined primary and secondary task performance Driver performs primary and secondary task (improve task)

    Performance on primary and/or secondary task

    Restriction of driver input

    limited vision (glasses), driver decides for opening/closing task performance and frequency of opening/closing

    Physiological output Muscle tension, blood pressure, heart rate variability

    Reallifetesting

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    Assessment Methods to judge(Driver-)Vehicle Handling (3)

    = Simulating vehicle behaviour according tothe procedures as prescribed in testprotocols

    open loop: vehicle + tyres

    closed loop: vehicle + tyres + driver

    Advantage: optimisation of vehicle + tyresbehaviour beforethe vehicle is built

    Used by vehicle manufacturers and byautomotive suppliers

    Virtualtes

    ting

    drivermodels

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    Driver Modelling

    In objective tests: driver = steering machine

    In subjective test: driver = black box Driver model for opening the black box

    Analysis gives further understanding of the relation:Tyre Characteristics Driver-Vehicle Handling

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    Research Topics

    1. Driver models (professional test driver)

    2. Drivers mental workload and control effortmeasures

    3. Neural networks for the assessment of driverjudgement and control of vehicle performance

    4. Design of assessment tools(based on and refining research topics 1-3)

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    Human behaviour and driving tasks

    There are many different driver models for differentdriver behaviour Provide insights into basic properties of human performance Predict the performance of the driver-vehicle system

    (stability) Driver assistance systems

    SRK-model for human behaviour(Rasmussen)

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    DARPA Urban Challenge

    Vehicles with no driverand no remote control

    60 miles urban area

    course with traffic Obeying all traffic

    regulations

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    Model the Driver

    requiredtrajectory

    roadconditions

    driver

    steeringcontrol

    throttlebrake

    vehicle

    road air

    deviation from path, in orientation,following time, distance,..

    vibrations, noise,

    disturbances

    modelled with

    linear differential equations

    also?

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    Model the Human Controller

    Describing functions (= approximate

    transfer functions) of human performanceusing control language

    Can you model human performance bylinear models? Thresholds Detect and remember patterns

    Learn and adapt

    Yes, with a quasi-linear model and with Stationary tracking task by highly trained

    controllers

    Unpredictable input

    non-linear

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    Quasi-Linear Model of the Human Controller

    YH = linear transfer function

    u(t) = linear response

    n(t) = internal noise (perceptual and motor system,uncorrelated with input signal)

    u(t) = quasi linear response

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    Adaptive Nature of the Driver

    Drivers can adapt to changing vehicle

    behaviour although vehicle behaviour changes,

    overall driver-vehicle performance canremain the same

    Drivers can sense small differencesin handling behaviour

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    Relation with Mental Workload

    Primary task performance measures will only be sensitive inregions D and B, not in A1, A2, A3. Most self report measuresare sensitive in all but A2

    boredom, loss ofsituation awareness

    and reduced alertness

    overloaded

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    YH(j)

    McRuer Crossover Model

    limitations of the human

    reaction time

    neuromuscularlag

    adjusted toachieve goodcontrol

    gain

    lead

    lag

    YH

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    Simulation study

    Will the driver adapt his parameters for

    different tyres? Path tracking

    path

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    Simulation study models

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    Optimisation of driver controller gains

    Based on minimisation of cost function:

    J =(current path error)2+ weight *(steer workload)2

    Parameters: Preview time = 1.5s

    Weight = 1

    V = 25m/s Path:

    0 100 200 300 400 500 600 700 800 9000

    100

    200

    x

    y

    = steer speed

    =d(steer angle)/dt

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    Different tyre characteristics:

    cornering stiffness

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    Simulation with two virtual drivers

    Driver controller gains are optimised

    (based on cost function) for reference tyrecharacteristic (= reference driver gains)

    Simulations with different tyrecharacteristics for two virtual drivers

    non adaptive driver (with reference drivergains: )

    adaptive driver (with - for each different tyrecharacteristic - optimised driver gains)

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    Errors non adaptive driver

    0 5 10 15 20 25 30 35 40 45-0.8

    -0.6

    -0.4

    -0.2

    0

    0.2

    0.4

    0.6

    0.8lateral current error versus time

    time(s)

    lateralcurrenterror(m)

    0 5 10 15 20 25 30 35 40 45

    -10

    -5

    0

    5

    10

    steer speed versus time

    time(s)

    steerspeed(deg/s)

    Cornering stiffness 80%

    Cornering stiffness 90%

    Cornering stiffness 100% (reference)

    Cornering stiffness 110%

    Cornering stiffness 120%

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    Errors adaptive driver

    0 5 10 15 20 25 30 35 40 45-0.8

    -0.6

    -0.4

    -0.2

    0

    0.2

    0.4

    0.6

    0.8lateral current error versus time

    time(s)

    lateralcurrenterror(m)

    0 5 10 15 20 25 30 35 40 45

    -10

    -5

    0

    5

    10

    steer speed versus time

    time(s)

    steerspeed(deg/s)

    Cornering stiffness 80%

    Cornering stiffness 90%

    Cornering stiffness 100% (reference)

    Cornering stiffness 110%

    Cornering stiffness 120%

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    Results non adaptive driver

    0.0440.66

    Cost function for different tyre characteristics

    0%

    50%

    100%

    150%

    200%

    250%

    300%

    350%

    80% 90% 100% 110% 120%Cornering stiffness

    J

    sqr(current path error)

    weight*sqr(steer workload)

    Human controller gains versus

    different tyre characterisitics

    60%

    70%

    80%

    90%

    100%

    110%

    120%

    130%

    140%

    80% 90% 100% 110% 120%

    Cornering stiffness

    Preview path errorgain (%)

    Preview orientation

    error gain (%)

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    Results adaptive driver

    Human controller gains versus

    different tyre characterisitics

    60%

    70%

    80%

    90%

    100%

    110%

    120%

    130%

    140%

    80% 90% 100% 110% 120%

    Cornering stiffness

    Preview path error

    gain (%)Preview orientation

    error ain %

    Cost function for different tyre characteristics

    0%

    50%

    100%

    150%

    200%

    250%

    300%

    350%

    80% 90% 100% 110% 120%

    Cornering stiffness

    J

    sqr(current path error)

    weight*sqr(steer workload)

    0.0440.66

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    Objectives experiments

    More Understanding on Subjective Evaluation

    1. Correlation between objective criteria andsubjective evaluation

    2. Experimental derived workload measures(control effort, mental workload)

    3. Evaluation of driver model parametersaccounting for subjective evaluation

    Also

    New test vehicle Testing of driver measurements

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    Experiments

    Same tests are performed with different

    tyres keeping driver, vehicle and environment as

    constant as possible differences relatedto the tyres

    keeping tyres, vehicle and environment asconstant as possible differences relatedto the driver

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    Experiments: Set Up

    Test vehicle + measurements

    Vehicle dynamics (x,y,z: velocities,accelerations, angles, angl.vel.,)

    Steering wheel (steering angle,steering angle velocity, moment)

    Two professional tyre test drivers Driver measurements

    Cameras

    Heart beat

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    Test Track: Test Centre Lelystad

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    Experiments: Tyres

    Choice based

    on expectedhandling behaviour

    Measured

    slip angle []

    Lateralforce[N]

    winter all season summer

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    Experiments: Content

    Objective tests (ISO-standards):

    steady state circle, step steer, puls steer (10-20 repetitions of each driver-tyre

    combination)

    Subjective evaluation

    Mini circuiton highest possible speed

    blind testing in badges:

    1,2,3 / 2,3,4 / 5,6 9 evaluation aspects

    + overall judgement

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    Subjective evaluation aspects

    Steering precision while cornering

    Stability while cornering (no throttle change)

    Stability while cornering (throttle change)

    Yaw overshoot

    Predictability

    Yaw delay Steering angle

    Grip

    Controllability Overall judgment

    Comment

    T t k i i

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    Test week impression

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    Results Overall Judgement

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    Influence Tyres on Evaluation Aspects

    Yaw delay

    + Steering precision Stability while

    cornering (no throttle

    change) Grip

    Steering angle

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    Correlation Objective Measurements

    with Subjective Evaluation

    Step steer response time for lateralacceleration

    (time delay between 50%steering angle and 90%steady state value)

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    Correlation Objective Measurements

    with Subjective Evaluation

    Step steer response time for lateralacceleration

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    Results puls steer: bandwidth yaw rate

    tyre in non linear range?

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    Workload Measure: High Frequency Area

    Indicator for workload: High Frequency Areaarea beneath curve fcut-flimit

    area beneath curve 0-fcutHFA =

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    Results High Frequency Area

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    Optimisation of

    Driver Model Parameters Ld and Kd

    Cost functional for optimising driver modelparameters Ld and Kd for the different tyres

    Small variation in Ld and Kdin contrast to non-extreme conditions!(Monsma: Tyre Technology Int., Annual Review, 2008)

    ( ) ( ) dtwdtFC

    ...2

    2

    +=

    path error weight factorsteering rate

    tracking performance workload

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    Conclusions & Follow Up

    HFA as workload measurement is promising forcorrelation with subjective evaluation

    Investigation of mental workload for extrememanoeuvring (heart rate measurements, video)

    Driver model parameter adjustment is limited in

    extreme manoeuvring conditions in contrast tonon-extreme conditions.

    Explore driver parameter adjustment forrelation:

    nonextreme conditions subjective evaluation

    Workload measurements (and modelling)

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    Videos test drivers