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Suppression of Building Vibrations
Using PD+PI Type Fuzzy Logic Controller
Yuksel Hacioglu
Department of Mechanical Engineering, Istanbul University, Avcilar, Istanbul, Turkey
Keywords: Building Vibrations, Fuzzy Logic Control, Earthquake Excitation.
Abstract: In order to bring the useful properties of PD and PI type fuzzy logic controllers together, a PD+PI type
fuzzy logic controller for vibration suppression of a building was presented in this study. The building has
nine storeys and an active tuned mass damper was placed on the top floor. The building model was excited
with a real earthquake ground motion. The results have shown that designed controller attenuated the
building vibrations successfully.
1 INTRODUCTION
During the last decades developing technology gave
rise to construction of high and slender buildings
and those tall buildings are more susceptible to
dangerous effects of earthquakes. This is why the
control of building vibrations is essential. In fact
suppressing the vibrations will result in increased
safety and comfort of occupants. The tuned mass
damper (TMD), which is an auxiliary mass
connected to the main body via a spring and a
damper, has been widely used (Ahlawat and
Ramaswamy, 2003). In recent years active tuned
mass dampers (ATMD) were also presented where
an actuator is placed generally parallel to the spring
and damper. Various control strategies have been
proposed with ATMD equipped buildings such as
LQR control (Fujita, 1994), fuzzy logic control
(Guclu and Yazici, 2008), H
∞
control (Poncela et al.,
2007) and backstepping control (Hacioglu and
Yagiz, 2012).
Fuzzy logic control, which is based on fuzzy set
theory presented by Zadeh (Zadeh, 1965), has
become popular within automatic control
community during the last years. This is mainly due
to the fact that it do not require the exact
mathematical model of the system and make
possible to use the knowledge in linguistic form
coming from the experts. Fuzzy logic control has
found different application areas such as active
vehicle suspension control (Yagiz et al., 2008),
robotic manipulator control (Yagiz and Hacioglu),
power systems control (Yesil et al., 2004) etc.
It is well known that classical fuzzy logic controller
namely PD type fuzzy controller can give rise to
steady state errors. On the other hand using PI type
fuzzy logic can solve this problem but with possible
poor transient performance. Therefore in this study a
PD+PI type fuzzy logic controller is designed for the
ATMD controlled nine storey building model.
2 BUILDING MODEL
A nine storey building model as seen in Figure 1 is
used in this study. The ATMD is placed on top floor.
Here, m
i
, k
i
, b
i
, and y
i
(i=1,…,9) denote the mass,
stiffness, damping and lateral absolute displacement
of the related storey, respectively. Additionally, m
10
,
k
10
, b
10
and y
10
stand for the mass, stiffness, damping
and lateral absolute displacement of the ATMD,
respectively; u is the control force generated by the
actuator; y
0
is the earthquake ground motion input to
the building.
The equations of motion of the building model
are given below.
It should be noted that, in equations (1) – (10) if
u=0, then the equations of motion for the building
model with TMD is obtained. If in addition, m
10
=0,
k
10
=0 and b
10
=0 are set then, the equations of motion
for the building model without any auxiliary mass
are obtained.
153
Hacioglu Y..
Suppression of Building Vibrations Using PD+PI Type Fuzzy Logic Controller.
DOI: 10.5220/0005129101530157
In Proceedings of the International Conference on Fuzzy Computation Theory and Applications (FCTA-2014), pages 153-157
ISBN: 978-989-758-053-6
Copyright
c
2014 SCITEPRESS (Science and Technology Publications, Lda.)