Copyright ® IFAC Automatic Systems for Building the Infrastructure
in Developing Countries. Ohrid. Republic of Macedonia. 200 1
TRANSIENT RESPONSE CHARACTERISTICS OF SEMIACTIVE
DAMPING WITH FUZZY LOGIC CONTROLLER
Darko Babunski, Atanasko Tuneski
Faculty of Mechanical Engineering, "Sts. Cyril and Methodius" University,
P. D. Box 464,1001 Skopje, Republic of Macedonia. Fax: +3892362298
e-mail: bdarko@ereb1.mfukim.edu.mk
Abstract: The designer of damping system for road vehicles is forced to make
compromise between the ride comfort and the vehicle safety. For that reason, the
new semiactive and active damping policies are invented. The fuzzy logic semi active
control policy that is used in this paper is better able to balance the body and axle
dynamics than the conventional semi active damping control policies, like sky- or
ground-hook semiactive damping policies. The vehicle transient motion is examined
for various methods of damping control. The vehicle response was studied for a four-
degree-of-freedom, roll-plane model, using passive damping and one method of
semiactive damping control, and is compared with other two methods of semiactive
damping. Copyright © 2001 IFAC
Key words: Fuzzy logic, Vehicle dynamics, Control, Transient responces, Damping
1. INTRODUCTION
The semiactive damper control policies include the
previously developed on-off skyhook, continuous
skyhook, and on-off groundhook control (Ivers and
Miller 1994) along with a new method of fuzzy logic
semiactive control (Carter 1998). For road inputs,
semiactive dampers provide a compromise between
the body and axle transient dynamics, compared to
passive dampers (Nicholas, et al. 1997). The fuzzy
logic control policy that is used in this paper has
better body and axle dynamics than the conventional
semiactive damping control policies. The designer of
vehicle suspension system has to make compromise
between ride comfort presented by the body heave
displacement and acceleration and safety presented
by the body roll and tire heave displacements. The
purpose of this research is to examine the effect of
fuzzy logic control on the transient response of heave
and roll motion of vehicle. Theoretical analysis and
simulation of the passive suspension systems, and
semi active suspension systems using fuzzy logic
controllers have been made with "MATLAB" and
"SIMULINK" software. In Paragraph 2 the vehicle
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model is presented. The fuzzy logic controller model
is given in Paragraph 3. The simulation results are
presented in Paragraph 5.
2. VEHICLE MODEL
The vehicle is presented with four-degree of
freedom, roll plane model as shown in Fig. I. The
model consists of three masses. The top mass, mb
[kg], represents the truck body, while the two lower
masses, mt/ [kg], and m
tr
[kg], represent the left and
right tires of the front axle, respectively. The parallel
spring and damper combinations located between the
truck body and each tire (k
sl
[N/m], Csl [Ns/m], and ksr
[N/m] , C
sr
[Ns/m)) represent the stiffness and
damping of the vehicle suspension system. The
respective stiffness of the left and right tires is
represented by the lower springs kt/ [N/m] , and k
tr
[N/m]. On the truck body, a heave force, Fb [N] and a
roll force (torque) Tb [Nm], can be exerted. The
model has six state variables: Zb, 0
b
, Zt/, Ztn Zinl and
Zinn where Zb and 0
b
represent the heave and roll
motions of the truck body, Zt/ and Ztr represent the