Intelligent System Identification for
an Axis of Car Passive Suspension System Using Real Data
Dirman Hanafi
l
Mohd. Fua'ad bin Rahmar Zainal Abidin bin Ahmad
3
Amran bin Mohd Zaid
4
1,3,4 Department ofMechatronic and Robotic Engineeering, Faculty ofElectrical and Electronic Engineering,
Universiti Tun Hussein Onn Malaysia, 86400 Parit Raja, Batu Pahat, Johor, Malaysia
Tel: +60-7453-7631, Fax: +60-7453-6060 E-mail: dirman@uthm.edu.my
2 Instrumentation and Control Engineering Department, Faculty of Electrical Engineering
Universiti Teknologi Malaysia, 81310 Skudai, Johor Darul Ta'zim
Phone: 07-5535900, Fax: 07-5566272, E-mail: drfuaad@lke.utm.my
Abstract
This paper presents an intelligent system identification
using multilayer perceptron neural network algorithm for
an axis car passive suspension model. Nonlinear
AutoRegressive with eXogenous input (NARX) model were
assumed for the system in order to determine the
multilayer perceptron neural network structure. The
intelligent system identifcation contructed for NARX
model used real input output data acquired by driving a
car on a special road event. The results show that the
method proposed is suitable for modeling a quarter car
passive suspension systems.
Keywords: Intelligent system identification, Multilayer
perceptron, NARX model, real input output
data.
Introduction
The great interests in the vehicle research field is
improving the car ride quality and handling performance.
The performance improvement can be done by design and
analyze the car suspension system controller [1,2,3], thus
the high fidelity mathematical model capturing realistic
dynamic of the car suspension system is necessary [4].
As in [4,5,6,7], the best way to determine the high fidelity
mathematical model of system is using system
identification. Since the successful applications of neural
networks contribute to widely use in field of system
identification as intelligent system identification [8,9].
This paper presents an axis car passive suspension system
as a quarter car and its model identifies using intelligent
system identification [5,6].
Westwick and George applied traditional feed forward
neural network for identifying the nonlinearity
contribution in the nonlinear part of a quarter car model
[5]. The intelligent system identification used only for
identified part of a quarter car model not for whole model.
The nonlinear part of the quarter car model is identified
based on simulation data. Buckner and Schuetze used the
structured artificial neural networks to be the intelligent
parameter estimation to continually adapt the lumped
978-1-4244-3481-7/09/$25.00 ©2009 IEEE
parameters of a linear quarter-car suspension model [6]. The
parameter estimation process is done using simulation data.
While, this paper we focus on the intelligent system
identification to identify whole model of a quarter car
passive suspension system where the intelligent system
identification algorithm were based on iterative weighted
least square neural network. Next the networks structure
develops based on an axis car suspension model.
A quarter car passive suspension is assumed has nonlinear
model of Nonlinear AutoRegressive with eXogenous input
(NARX) structure. This relates with the dynamics of real
suspensions that inherently nonlinearity. Moreover this
model structure is simple and widely used in control system.
The NARX model of a quarter car passive suspension
system is identified using real input output data. The data are
collected by running car on special road event where the
road event is made using bump wood and construct as
bumpy road surface.
A Quarter Car Modeling
The main functions of the ground vehicle suspension is to
support the car weight, keep the wheel on the ground,
minimize transient force to the body, maintain good ride
comfort and enhance handling performance [10,11].
The suspension systems are influenced by the excitations
due to the road unevenness and variable velocity. In earlier
work on the analysis of car response, the car velocity was
considered as constant, since it was difficult to introduce the
effect of variable velocity formulation of the model [11].
The physical constraint of the suspension system is the
limited suspension travel. A basic passive suspension
consists of a spring with a parallel damper at each wheel.
In this paper, a generic of quarter car passive suspension
model has been modified for analysis [3,4,5,6,7]. Related to
the current trend using four independent suspensions on a
single car, a quarter car systems offer a quite reasonable
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