Proceedings of the 8th
World Congress on Intelligent Control and Automation
July 6-9 2010, Jinan, China
978-1-4244-6712-9/10/$26.00 ©2010 IEEE
Hysteresis Compensation of a Piezoactuated XY
Micropositioning System Based on
Disturbance Observer
∗
Qingsong Xu and Yangmin Li
Department of Electromechanical Engineering, Faculty of Science and Technology
University of Macau
Av. Padre Tom´ as Pereira S.J., Taipa, Macao SAR, China
{qsxu, ymli}@umac.mo
Abstract—In this paper, a two-loop controller is proposed
to suppress the hysteresis and to achieve a precise motion
tracking control for a piezo-driven XY parallel micropositioning
system. Specifically, an inner-loop disturbance observer (DOB)
is employed to tolerate the unmodeled hysteresis which is treated
as a disturbance to the nominal plant model of the system,
and an outer-loop feedback controller is used to compensate for
the remaining nonlinearities and uncertainties. The effectiveness
of the proposed controller over the sole PID controller is
demonstrated through experimental studies. Results show that
the DOB-based two-loop control can reduce the hysteresis to a
negligible level and lead to a motion tracking with submicron
accuracy, which provides a sound base of practical control of
the micropositioning system for micro/nano scale manipulation.
Index Terms—Micro/nano-positioning; piezoelectric actuation;
hysteresis compensation; disturbance observer.
I. I NTRODUCTION
Robotic microhandling and self-assembly are two ap-
proaches to handle objects in the micro world. Both methods
have their advantages and disadvantages. Based on the prin-
ciple of minimum potential energy (using gravity, capillary
forces, or electrostatic forces, etc., as the driving potential),
self-assembly has a good throughput due to a parallel process
and is appropriate to mass production of simple micro struc-
tures. Even so, self-assembly has poor flexibility and dexterity
when compared to robotic microhandling. Robotic microhan-
dling is capable of performing very complex handling tasks,
such as MEMS assembly, various biological applications, and
so on. The handling can be conducted in closed loop with
position and force sensing feedback. As core component of
robotic microhandling systems, micropositioning devices are
dedicated to high accuracy positioning in microhandling appli-
cations. A great number of micropositioning stages have been
designed and proposed to deliver various types of motions
in the literature. Most of the stages employ a flexure-based
*
This work was supported partially by Macao Science and Technology
Development Fund under Grant 016/2008/A1 and the Research Committee
of University of Macau under Grant UL016/08-Y2/EME/LYM01/FST to Y.
M. Li (Corresponding author) .
mechanism and piezoelectric actuators (PZTs) to produce a
submicron or subnanometer resolution positioning. In addi-
tion to vacuum compatibility, flexure mechanism eliminates
clearance, backlash, friction, and lubrication requirement for
the device. Moreover, PZT is capable of positioning with
(sub)nanometer resolution, large blocking force, high stiff-
ness, and rapid response characteristics. Nevertheless, PZT
introduces nonlinearity into the system mainly due to its hys-
teresis property occurring at the voltage-driven strategy, which
will attenuate the positioning accuracy of the manipulator if
it is not carefully treated.
An intuitive approach to overcome the nonlinearity is to
model the hysteresis and construct an inverse-based feed-
forward compensator. Several hysteresis models are avail-
able in the literature, such as the Preisach model, Maxwell
model, Duhem model, Prandtl-Ishlinskii model, and Bouc-
Wen model, etc. However, the nonlinearities can not be
totally eliminated by the feedforward compensation solely
in most practical cases. Thus, another further approach is to
combine the feedforward with an additional feedback control
to suppress the remaining nonlinearities as well as the creep
and drift effects induced by the PZT [1]. In view of the
fact that the establishment and identification of a hysteresis
model will be a complicated procedure which results in a
time consuming work for a controller design process, an
alternative method to deal with the nonlinearity is to treat
the hysteresis as an unmodeled uncertainty or a disturbance
and then construct a robust controller to compensate it. For
instance, the H
∞
robust control [2], sliding mode control [3],
and neural network intelligent control [4] have been presented.
In the current paper, a 2-DOF (two degree-of-freedom) con-
trol scheme is proposed to suppress the nonlinear hysteresis
and achieve a precise motion control. Specially, an inner-
loop disturbance observer (DOB) is employed to tolerate the
unmodeled hysteresis which is treated as a disturbance to
the nominal plant model of the system, and an outer-loop
feedback controller is used to compensate for the remaining
nonlinearities and uncertainties. Although DOB is extensively
adopted in the friction compensation, seldom application
2014