AVEC ’14
Tire Force Estimation Utilizing Wheel Torque Measurements
and Validation in Simulations and Experiments
*Anton Albinsson (Corresponding author), *Fredrik Bruzelius, **Mats Jonasson,*Bengt
Jacobson
*Chalmers Technical University
412 96 Gothenburg Sweden
Phone: +46 (0)31 772 10 00
E-mail: anton.albinsson@chalmers.se,
fredrik.bruzelius@chalmers.se,
bengt.jacobson@chalmers.se
**Volvo Cars
405 31Gothenburg Sweden
Phone: +46 (0)31 59 00 00
E-mail: mats.jonasson@volvocars.com
This study investigates a new tire force estimator based on the recursive least square (RLS)
method. Tire force estimation with known driving wheel torque is studied and compared to the
case with torque estimation from the internal combustion engine. This is motivated by a future
scenario with electric propulsion, which reasonably gives improved wheel torque estimations.
Sensitivity to vehicle parameters and challenges with individual lateral tire force estimation are
also investigated. The results, experimental and simulation data, show good performance and
potential for tire force estimation using the RLS method.
Topics / Modeling and simulations, State estimation
1. INTRODUCTION
Active safety systems are becoming more
advanced in order to meet higher requirements from
both the market and legislations. With more accurate
and new information about the vehicle states, the
current and future active safety systems can be
improved. The tire forces are important vehicle states
that can be used for vehicle parameter estimation and
tire identification online.
For electric vehicles new opportunities exists
for estimation and for improving active safety systems.
The main advantage with electric motors, in an
estimation context, is that the delivered torque to the
wheels is more straightforward to estimate compared to
the torque from an Internal Combustion Engine (ICE).
Additionally, electric propulsion is typically also used
for braking and can be wheel individual, compared to
traditional propulsion. Electric motors can then be
considered as extra sensors that can be utilized. This
study investigates how a better estimation of the applied
wheel torque can improve both lateral and longitudinal
tire force estimation. In [1,2] both lateral and
longitudinal tire forces are estimated but no reliable
estimate of the wheel torque is available and hence no
individual longitudinal tire force estimation is attempted.
[3,4] utilizes the wheel dynamics and the driving wheel
torque to estimate the longitudinal tire forces but the
validation is done using simulations only. The present
study highlights problems associated with tire force
estimation, such as uncertain parameters and individual
tire force estimation. Individual lateral tire force
estimation has been discussed in [1,2,4]. These
estimations works well under special conditions
constrained by the assumptions made, e.g. uniform
friction, low level of lateral acceleration. [5] use a large
number of vehicle parameters which is not possible to
estimate online and the estimator is prone to be very
vehicle specific. A more thorough discussion about the
parameters affecting the individual tire force estimation
is presented here. The estimator is based on a relatively
simple Recursive Least Square (RLS) method compared
to the Kalman filter methods used in [1-5]. One of the
main reasons for estimating tire forces is to combine the
data with a slip estimator in order to identify vehicle and
tire parameters. The tire force estimates are to be
considered as inputs to the tire model. Including a tire
model in the tire force estimator would thus not add any
new information to the system unless the tires are
identified offline. No tire model has been used to
estimate the tire forces in this study which makes the
estimator robust to variations in tire parameters and road
surfaces. Validation of the estimator was done with
simulations using IPG Carmaker and data from real
experiments.
2. ESTIMATOR STRUCTURE
The input to the estimator is the lateral and
longitudinal body acceleration, yaw rate, wheel speeds
on all four wheels, steering wheel angle and the
propulsion torque on the front wheels. The test data
used in the study is from tests performed using a front
wheel drive vehicle equipped with an internal
combustion engine and not an electrical motor. The test
vehicle was fitted with torque wheels for all tests. As a
result of the vehicle not being equipped with electric
motors, the torque measurements from the torque
12th International Symposium on Advanced Vehicle Control
September 22-26, 2014
294
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