I.J. Intelligent Systems and Applications, 2014, 08, 87-96
Published Online July 2014 in MECS (http://www.mecs-press.org/)
DOI: 10.5815/ijisa.2014.08.10
Copyright © 2014 MECS I.J. Intelligent Systems and Applications, 2014, 08, 87-96
Design Intelligent System Compensator to
Computed Torque Control of Spherical Motor
Maryam Rahmani, Farzin Piltan, Farzin Matin, Hamid Cheraghi, Nasim Sobhani
Institute of Advance Science and Technology, Intelligent control and Robotics Lab. IRAN SSP, Shiraz/Iran,
http://WWW.IRANSSP.COM, Email: Piltan_f@iranssp.com
Abstract — Spherical three Degree-of- Freedom (DOF) is
controlled by model-base fuzzy computed torque controller.
The spherical motor has three revolute joints allowing the
corresponding parts to move horizontally and vertically. When
developing a controller using conventional control methodology
(e.g., feedback linearization methodology), a design scheme has
to be produced, usually based on a system‟s dynamic model.
The work outline in this research utilizes soft computing applied
to new conventional controller to address these methodology
issues. Computed torque controller (CTC) is influential
nonlinear controllers to certain systems which this method is
based on compute the required arm torque using nonlinear
feedback control law. When all dynamic and physical
parameters are known, CTC works superbly; practically a large
amount of systems have uncertainties and fuzzy feedback
Inference Engine (FIS) is used to reduce this kind of limitation.
Fuzzy logic provides functional capability without the use of a
system dynamic model and has the characteristics suitable for
capturing the approximate, varying values found in a MATLAB
based area. Based on this research model- base fuzzy computed
torque controller applied to spherical motor is presented to have
a stable and robust nonlinear controller and have a good result
compared with conventional and pure fuzzy logic controllers.
Index Terms— Fuzzy Inference System, Fuzzy Logic
Controller, Computed Torque Controller, Spherical Motor,
Fuzzy Model-Base Computed Torque Controller
I. INTRODUCTION
Multi-degree-of-freedom (DOF) actuators are finding
wide use in a number of Industries. Currently, a
significant number of the existing robotic actuators that
can realize multi-DOF motion are constructed using gear
and linkages to connect several single-DOF motors in
series and/or parallel. Not only do such actuators tend to
be large in size and mass, but they also have a decreased
positioning accuracy due to mechanical deformation,
friction and backlash of the gears and linkages. A number
of these systems also exhibit singularities in their
workspaces, which makes it virtually impossible to obtain
uniform, high-speed, and high-precision motion. For high
precession trajectory planning and control, it is necessary
to replace the actuator system made up of several single-
DOF motors connected in series and/or parallel with a
single multi-DOF actuator. The need for such systems
has motivated years of research in the development of
unusual, yet high performance actuators that have the
potential to realize multi-DOF motion in a single joint.
One such actuator is the spherical motor. Compared to
conventional robotic manipulators that offer the same
motion capabilities, the spherical motor possesses several
advantages. Not only can the motor combine 3-DOF
motion in a single joint, it has a large range of motion
with no singularities in its workspace. The spherical
motor is much simpler and more compact in design than
most multiple single-axis robotic manipulators. The
motor is also relatively easy to manufacture. The
spherical motor have potential contributions to a wide
range of applications such as coordinate measuring,
object tracking, material handling, automated assembling,
welding, and laser cutting. All these applications require
high precision motion and fast dynamic response, which
the spherical motor is capable of delivering. Previous
research efforts on the spherical motor have demonstrated
most of these features. These, however, come with a
number of challenges. The spherical motor exhibits
coupled, nonlinear and very complex dynamics. The
design and implementation of feedback controllers for the
motor are complicated by these dynamics. The controller
design is further complicated by the orientation-varying
torque generated by the spherical motor. Some of these
challenges have been the focus of previous and ongoing
research [1-11].
In modern usage, the word of control has many
meanings, this word is usually taken to mean regulate,
direct or command. The word feedback plays a vital role
in the advance engineering and science. The conceptual
frame work in Feed-back theory has developed only since
world war ІІ. In the twentieth century, there was a rapid
growth in the application of feedback controllers in
process industries. According to Ogata, to do the first
significant work in three-term or PID controllers which
Nicholas Minorsky worked on it by automatic controllers
in 1922. In 1934, Stefen Black was invention of the
feedback amplifiers to develop the negative feedback
amplifier[12-28]. Negative feedback invited
communications engineer Harold Black in 1928 and it
occurs when the output is subtracted from the input.
Automatic control has played an important role in
advance science and engineering and its extreme
importance in many industrial applications, i.e.,
aerospace, mechanical engineering and joint control. The
first significant work in automatic control was James
Watt‟s centrifugal governor for the speed control in
motor engine in eighteenth century[29-40]. There are
several methods for controlling a spherical motor, which
all of them follow two common goals, namely,
hardware/software implementation and acceptable