978-1-4244-9005-9/10/$26.00 ©2010 IEEE 367
Developing a Flight Control Strategy for a Four-rotor
Under-actuated UAV
S. Akash
SRM University, Chennai, India
s.akash279@gmail.com
S.S. Sridhar
SRM University, Chennai, India
sridhar.srm@gmail.com
Bibek Kabi
SRM University, Chennai, India
bibek.kabi@yahoo.in
N. Chellammal
SRM University, Chennai, India
chellamal_venkat@rediffmail.com
Abstract— This paper provides a theoretical approach in the
stabilization of a four rotor UAV using a dynamics model. We
performed various simulations in open and closed loop platforms
and implemented several experiments on the miniature VTOL
system. The vehicle feedback system uses an Inertial
Measurement Unit (IMU).A state space variable model of the
vehicle dynamics is presented here in the literature. In order to
explain this system, we have developed a simulink based model
for the PID controller. Also various control techniques like
Neural Networks which will enhance the system performance are
proposed.
Keywords- UAV; VTOL system; IMU; state space variable
model; PID controller; Neural Networks.
I. INTRODUCTION
The first unmanned helicopter was the one built by
Forlanini in 1877. It was neither actively stabilized nor
steerable. With the outstanding technological advancements
after WW II it became possible to build and control unmanned
helicopters. The development of full-scale quadrotors
experienced limited interest in the past. Nevertheless, the first
manned short flight in 1907 was on a quadrotor.
Present quadrotors have four fixed propellers in cross
configuration. [6]These are mechatronic systems in which the
two pairs of propellers, driven in opposite directions thus
removing the need for a tail rotor. This is a major difference
between quadrotors and helicopters.
[7]While the front and the rear motor rotate clockwise, the
left and the right motor rotate counterclockwise which nearly
cancels the horizontal forces. This is an important condition for
stable hovering. One additional advantage of the quadrotor
compared to a conventional helicopter is the simplified rotor
mechanics. By varying the speed of the single motors, the lift
force can be changed and vertical and/or lateral motion can be
created. Pitch movement is created by creating a difference in
the speeds of the front and the rear motor whereas a similar
difference in left and right motors creates roll movement.
[10]A yaw movement occurs when there is a difference
between the pitch movement and the roll movement (front-rear
and left-right motors), while keeping collective lift of vehicle
constant.
This model is classified as an under-actuated system as the
number of actuators is less than the number of degrees of
freedom. A degree of freedom is change in position
(translation, rotation). Another advantage of this system is that
it is capable of vertical take-off and landing. This is possible
because of the use of thrusters hence classifying it as a VTOL
(vertical take-off and landing) system.
The IMU forms the feedback system for the closed loop
model. Using modeling concepts, we derived the state space
model which was implemented in the Simulink block diagram
in Matlab. Experiments were performed in open loop and
closed loop platforms and it was observed that the closed loop
provided higher accuracy and control over disturbance
rejection.
Currently PID controller was used as an error compensator.
However system performance can be enhanced using a RBF
Network.
Some promising areas of applications for UAV’s include
surveillance, fire fighting, aerial photography, [2]traffic control
updates, relay positioning between two points.
II. QUADROTOR CONFIGURATION
VTOL systems are considered to be highly unstable. Here
in this paper, we consider an ideal model as shown below. It
has got an earth frame of reference E and a body frame of
reference. Using Euler angles parameterization, the airframe
orientation in space is given by a rotation R from B to E, where
R is the rotation matrix.
Figure1. SMART flyer