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Energy-Based Controller Decoupling of Powered Parafoil Unmanned ...
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2021-02-11
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Powered Parafoil Unmanned Aerial Vehicle(PPUAV), which is suitable for large-area and long-time surveillance and airdrop missions, is a type of innovative UAV. It consists of parafoil canopy, payload and suspension lines, and has the advantages of simple structure, low cost and high load capacity. However, due to the apparent mass and flexible connection, it is hard to build an accurate model for controller design for PPUAV. Normal PID controller is unsuitable for PPUAV because of the inputs' c
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Energy-Based Controller Decoupling of Powered
Parafoil Unmanned Aerial Vehicle
Li Bingbing
1, 2
, Yang Liying
1
, He Yuqing
1
, Han Jianda
1
1 State Key Laboratory of Robotics, Shenyang Institute of Automation, Chinese Academy of Sciences, Shenyang 110016,
China
2 University of Chinese Academy of Sciences, Beijing 100049, China
Abstract—Powered Parafoil Unmanned Aerial Vehicle
(PPUAV), which is suitable for large-area and long-time
surveillance and airdrop missions, is a type of innovative
UAV. It consists of parafoil canopy, payload and suspension
lines, and has the advantages of simple structure, low cost
and high load capacity. However, due to the apparent mass
and flexible connection, it is hard to build an accurate
model for controller design for PPUAV. Normal PID
controller is unsuitable for PPUAV because of the inputs'
coupling effects on outputs. This paper presents an
applicable method of modeling to capture the main
characteristics of PPUAV, and the proposed model is
validated by actual flight test. To deal with the coupling
effect, a novel control method based on energy is proposed.
The method has clear adjustment procedures and is more
practical and effective than normal PID controller. The
simulation results show its effectiveness on PPUAV.
Keywords—powered parafoil; UAV; model simplification;
system identification; input and output coupled system;
energy-based controller; controller decoupling
I. INTRODUCTION
A. Introduction of PPUAV
Powered Parafoil Unmanned Aerial Vehicle (PPUAV)
is a small aircraft, which is able to cover large horizontal
distances from the release point. It provides a unique
capability for air-transport of heave payloads according
to the high payload-weight-ratio[1]. PPUAV is compact
before parafoil deployment and lightweight, and it flies at
low speed and impacts the ground with low velocity.
PPUAV is often considered to be safer than normal
fixed-wing aircraft because of its inherent stability,
limited response to control inputs, and stall resistance[2].
All of the above advantages make it a suitable platform
for field investigations, search and rescue, and
delivery[3].
However, PPUAV has the characteristics of
complexity, uncertainty, nonlinearity, time-varying,
control delay and large inertia, and is easily affected by
the atmospheric environment[4]. PPUAV is strongly
influenced by apparent mass because of its light
weight[5]. A unique feature of PPUAV is the high degree
of variability of flight dynamic, which make its practical
applications to be a great challenge[6].
B. Control mechanism
The general control mechanism for PPUAV is left
and right brake deflection and thrust provided by the
engine. The asymmetric deflection of left or right brake
makes PPUAV to turn. And the engine provides thrust to
take off and accelerate. Predictable changes in
aerodynamic loads is caused by thrust and canopy
changes, which is the method of controlling PPUAV. The
structure of the system is shown in Fig. 1.
Parafoil
Canopy
Leading
Edge
Control
Ropes
Unmanned
Powered Vehicle
Suspension
Ropes
Trailing
Edge
This work is supported by National Nature Sciences Foundation of
China(Grant No. 61503369 and 61528303) / The state key laboratory of
robotics / Chinese National Key Technology R&D Program (Grant No.
Y4A1208101)
Fig. 1. Structure of PPUAV
Deployment of the right brake causes a significant drag
rise and a small lift rise on the right side of the canopy
with slight right tilt. The above effects cause PPUAV to
turn right when a right brake is deployed. With a engine
installed on the back of the payload, PPUAV can adjust
its longitudinal and vertical velocity[7,8].
C. Researches of PPUAV
Over the past few decades, a lot of models of
different parafoil system were developed. The 3-DOF
model[9] is capable to represent some of the most
important vehicle characteristics and can be used to
principally check the functionality of the guidance,
navigation and control (GN&C) algorithm. However,
many important aspects are not taken into account in
dynamic model of PPUAV. For instance, while turning,
the roll angle of the parafoil system changes significantly,
but it is ignored in the model. Horizontal and vertical
speed, determined by lift and drag, change with
symmetric deflection, but are considered as constants.
The 4-DOF model[10] is able to simulate the increasing
sink rate during turning and the effects of symmetric
deflection on the velocities and Lift/Drag during steady
flight. In contrast to the 3-DOF model, the reduction of
forward velocity during turning is better presented. The
6-DOF model describes three inertial positions and three
Euler orientation angles, and the system is considered as
a rigid body. The 7-DOF model is an extension of the 6-
DOF model, taking the roll movement of the payload
with respect to the parafoil into account[11].
The higher DOF models are also developed to
measure a more detailed movement, including 8-DOF
models[12,14], 9-DOF models[14,15], 10-DOF
models[16] and 12-DOF models[17]. But they are all too
complex to use for the system's limit channel of inputs.
The tendency is to develop a simplified model[18,19,20],
which is more suitable for controller design.
On another side, a variety of methods have been
developed for system identification. The two methods
that are the most suitable for the current problem are the
output error method (OEM) and extended Kalman filter
identification method. The OEM is the most common
method for parameter identification from noisy
measurements, and identification through an extended
Kalman filter is used when there are both measurement
and process noise. These two methods can also be
combined to form the identification method. All of these
works deal with the problem in slightly different ways,
but a common thread among them is the necessity of
obtaining high accurate data for successful aerodynamic
parameter identification[21-23].
Many control strategies were also developed. A PID
controller[24], an optimal controller[23] and a model
predictive controller[26] were designed for a linear
model. Slegers[18] uses a simplified model to describe
the system and design a MPC controller by only
considering roll and yaw angles. J. Umenberger[19] uses
a simplified model and design a controller by using root
locus and considering the lateral model as a second order
system and the longitudinal model as a first order system.
Chiara Toglia[20] uses a reduced model, which only
takes input of asymmetric brake into account, designs a
controller using feedback linearization and achieves line
following in the XY plane by using only the lateral
directional control input.
Most of them only focus on the orientation of
PPUAV and treat the glide scope as a constant. But most
of the algorithms were not tested in actual flights.
The paper presents a 9-DOF model and a simplified
model (combining a longitudinal module and a lateral
module). The simplified model is verified using actual
flight data. Furthermore, an energy-based controller is
presented to reduce controller coupling, where an
independent control loop of height is designed and kept
and a following energy loop is added. The simulation
results proved its effectiveness on PPUAV. The paper is
organized as follow: Section 2 presents a 9-DOF and a
simplified model of PPUAV. Section 3 describes the
difficulties of normal PID controller and idea of energy-
based controller. Then the flight test and simulation
results are presented in Section 4. The paper ends with
conclusions and recommendations for the future
development.
II. MATHEMATICAL MODEL OF PPUAV
A. Coordinate systems
With the exception of movable parafoil brakes,
PPUAV is treated as a rigid body. The coordinate
systems are established as right-hand systems. The
inertial coordinate system is defined as (XI, YI ZI), The
XIYI-plane is horizontal, and the positive direction of ZI
is taken downward as shown in Fig. 2. The location of
the origin and the positive direction of the XI-axis are
appropriately chosen. The canopy coordinate system =
(Xp, Yp, Zp) and payload coordinate system = (Xb, Yb,
Zb) are shown in Fig. 2. The origin Op of the canopy
coordinate system is chosen at the center of gravity (CG)
of the canopy. The Yp-axis points to the right side and
the Xc-axis is taken forward. The origin Ob of the
coordinate system is chosen at the CG of the payload.
And Xp is taken forward along the direction of the thrust
and Zp is taken downward. In the 9-DOF model, point C
is chosen at the center of gravity (CG) of the whole
system[27].
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