Simulation and experimental study on PID control of a quadrotor MAV with perturbation

Bulletin of Electrical Engineering and Informatics
Vol. 9, No. 5, October 2020, pp. 1811~1818
ISSN: 2302-9285, DOI: 10.11591/eei.v9i5.2158  1811
Journal homepage: http://beei.org
Simulation and experimental study on PID control
of a quadrotor MAV with perturbation
A. Noordin 1
, M. A. M. Basri2
, Z. Mohamed3
1,2,3
School of Electrical Engineering, Universiti Teknologi Malaysia, Malaysia
1
Faculty of Electrical and Electronic Engineering Technology, Universiti Teknikal Malaysia Melaka, Malaysia
Article Info ABSTRACT
Article history:
Received Jan 29, 2020
Revised Mar 8, 2020
Accepted Apr 9, 2020
This paper presents a proportional-integral-derivative (PID) flight controller
for a quadrotor micro air vehicle (MAV). The MAV (Parrot Mambo
minidrones) is small, therefore, a slight perturbation will affect its
performance. Hence, for the actuated dynamics, roll (ϕ), pitch (θ), yaw (ψ),
and z stabilization, a PID control scheme is proposed. Furthermore, the same
controller technique is also applied for under-actuated dynamics x and y
position control. The newtonian model is simulated using simulink
with a normal Gaussian noise of force as external disturbances.
using simulink support package for Parrot Minidrones by MATLAB
and based on the simulation parameter, the algorithm is deployed using
Bluetooth® Low energy connection via personal area network (PAN).
A slight force by hand is applied as perturbation during hovering
to investigation system performances. Finally, the simulation
and experimental on this commercial MAV, Parrot Mambo minidrones
shows good performance of the flight controller scheme in the presence
of external disturbances.
Keywords:
Altitude control
External disturbance
PID
Position control
Quadrotor MAV
This is an open access article under the CC BY-SA license.
Corresponding Author:
M. A. M. Basri,
School of Electrical Engineering,
Universiti Teknologi Malaysia,
81310 Skudai, Johor Bahru, Johor, Malaysia.
Email: ariffanan@fke.utm.my
1. INTRODUCTION
Recently, many quadrotor drones have been developed based on their size and purposes such as
mini drones, hobby drones, professional drones, selfie drones, and FPV racing drone [1]. Mini drone or micro
air vehicle (MAV) defined as a small scale UAV with mass < 0.1 kg get attention by educator/researcher due
to it reliable and safe to perform in denied GPS space such as in the halls, schools, and more [2].
DJI and Parrot are among the well-known manufacturers that have established and commercialized
quadrotor drones which cover most of those types including for educations. For instance, DJI developed
Tello EDU, which can be programmed through Scratch 2.0, SDK 2.0, and even support Swift Playgrounds
for iOS user [3]. In a while, Parrot has developed AR Drone 2.0, Rolling Spider and Mambo with all model
support to be programmed via MATLAB/Simulink. AR Drone 2.0 toolbox is developed and shared by
researchers while Simulink Support Package for Rolling Spider which recently upgraded to Simulink Support
Package for Parrot Minidrones is add-on hardware support packaged provided by MATLAB based on
Aerospace Blockset developed by MIT [4].
The mini drone‟s quadrotor structure is simple, yet under-actuated and dynamically unstable system
makes it complicated to design a full controller. Therefore, most of the research used common techniques

 ISSN: 2302-9285
Bulletin of Electr Eng & Inf, Vol. 9, No. 5, October 2020 : 1811 – 1818
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by creating two virtual inputs; roll angle and pitch angle for position control which required a very stabilized
attitude controller [5-7]. Various control method has been presented such as an backstepping control [8-12],
feedback linearization linear control [13, 14], sliding mode control (SMC) for attitude and altitude [15-19],
proportional-integral-derivative (PID) [20-23] and LQR control [24, 25] and fuzzy logic control [26, 27].
This paper presents a PID control for under-actuated Parrot Mambo mini-drone focus on attitude
stabilization during position control. The advantages of PID is its practicability and easy to be implemented
just based on the system tracking error [28, 29]. The Parrot Mambo (6-DOF quadrotor mini drone), includes
with ultrasonic, accelerometer, gyroscope, air pressure and down-facing camera sensors. It allows Bluetooth®
Low Energy connection to deploy algorithms wirelessly via personal area network (PAN). This paper
contributes a demonstration of simulation and experimental results of the PID controller applied
to a commercial MAV (Parrot Mambo minidrone).
This paper is organized as follows. Section 2 describes the nonlinear dynamic model based on
the Parrot Mambo, and the design of the PID for both attitude and position control of the quadrotor.
Section 3 presents the simulation and experiment results of controllers. Section IV is the conclusion
of the paper.
2. RESEARCH METHOD
In this section, the nonlinear dynamics model of the Parrot Mambo mini-drone is presented using
Newton-Euler formulation.
2.1. Quadrotor dynamics
In (1) [30] describes the translational dynamic model, while (2) represents the rotational dynamic
model for -model of the Parrot Mambo mini-drone, as shown in Figure 1.
̈
̈ (1)
̈
( )
̇ ̇ ̇
̈ ̇ ̇ ̇ (2)
̈
( )
̇ ̇
where and stand for trigonometric operator „sin‟ and „cos‟ respectively, is gravitational coefficient,
is quadrotor mass, , , represent roll, pitch, and yaw respectively. , , and is the total moment
of inertia, is the rotor moment of inertia, is the total of angular speed, , , , and are the control
inputs. Table 1 shows the physical parameters of the Parrot Mambo, which is written in the source code
obtained from the compilation of simulation model.
Figure 1. Parrot Mambo minidrone

Bulletin of Electr Eng & Inf ISSN: 2302-9285 
Simulation and experimental study on PID control of a quadrotor MAV… (A. Noordin)
1813
Table 1. Parrot Mambo model physical parameters
Specification Parameter Unit Value
Quadrotor mass
Lateral moment arm
Thrust coefficient
Drag coefficient
Rolling moment of inertia
Pitching moment of inertia
Yawing moment of inertia
Rotor moment of inertia
2.2. Attitude controller
The altitude controller is designed using classical PID as:
∫ ̇ (3)
where and ̇ ̇̇ ̇̇ are the error and derivative error between the desired signal and actual
signal, and , , and are the PID gains parameter ( .
2.3. Altitude controller
The altitude controller is designed using classical PID with a gravity compensator controller
and described as:
∫ ̇ (4)
where and ̇ ̇ ̇ are the error and derivative error between the desired signal and actual
signal, and , , and are the PID gain parameter.
2.4. Position controller
For the position control, since the MAV is operating around hover, the small-angle assumption
( is applied to simplify (1) as:
̈
̈ (5)
Therefore, from (4), a virtual control signal is proposed to control the x and y position and can be
implemented as:
( )
( ) (6)
where and are the inputs control signal designed using PID as:
∫ ̇
∫ ̇ (7)
3. RESULTS AND DISCUSSION
In this section, simulation and real-time implementation are carried out to verify the performance
of the Parrot Mambo mini drone.
3.1. Simulation results
Based on the dynamics of quadrotor MAV in (1, 2) and PID controller in (3, 4, 7), the simulations
were conducted through MATLAB/Simulink®
R2019a by setting third-order solver with 0.005 second
sampling period. The dynamics and were evaluated with the presences of external disturbances, a
normal Gaussian noise of force defined as [ ] at the time
interval [15]. Figure 2(a) shows the altitude and the attitude response of the PID controller with

 ISSN: 2302-9285
1814
a with the presence of external disturbance. As shown, the PID controller able to converge
to zero even with the presence of external disturbances after 10 s. Figure 2(b) shows the controller control
inputs were sensitive to the noise after 10 seconds period.
(a) (b)
Figure 2. PID controller with the presence of external disturbance, (a) Altitude and attitude response,
(b) The control inputs
3.2. Experimental results
By using the Simulink Support Package for Parrot minidrones, the Parrot Mambo algorithm
is deployed via Bluetooth. The state estimation was predefined in the provided package. The sensor fusion
algorithm was designed using a complementary filter and Kalman filter to process onboard sensors such as
the ultrasonic sensor, IMU, air pressure sensor, and optical flow sensor [2]. Figure 3 shows an experimental
setup for MAV using Simulink for simulation and straight away can be programmed wirelessly through
Bluetooth for real-time implementation.
The information from the real-time experiment is obtained from built-in memory in Parrot Mambo
mini drone which is designed to log essential data such as sensors, positions (x, y, z) and rotational (roll,
pitch, yaw). Initially, the desired altitude is set at meter, while for the rotational angle yaw is set as
. Table 2 shows the PID parameters used in this experiment.
Figure 3. Experimental setup for MAV

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Table 2. PID parameters the Parrot Mambo controller
Kp Ki Kd
Roll, 0.011 0.01 0.0028
Pitch, 0.013 0.01 0.002
Yaw, 0.004 0.02 0.012
Z 0.800 0.24 0.500
Y -0.2 0.002 0.1
X 0.2 0.05 -0.1
3.2.1. Hovering (altitude tracking without perturbations)
In Figure 4(a), altitude z can reach 1.1 m as the desired with slightly oscillations contra
to the simulation (nominal model). The system performances are affected due to parametric uncertainties,
i.e., hull is included for safety, which increased the weight and inertia moments, and noise from onboard
sensors. The roll angle and pitch angle capable of following the desired response from the virtual controller,
and yaw angle were forced to converge to zero. Figure 4(b) shows motors angular velocities during hovering.
(a) (b)
Figure 4. Parrot Mambo minidrone in hover position, (a) Altitude and attitude responses,
(b) Motors angular velocities
3.2.2. Hovering (altitude tracking with perturbations)
In this experiment, an external disturbance consist of a force by hand is applied twice to the
quadrotor at 10 s and 15 s during hovering. Since the Parrot Mambo is small MAV, a slight perturbation will
affect its performances. Figure 5(a) shows the output response of the system subject to an external
perturbation. Figure 5(b) shows motors angular velocities during hovering subject to an external perturbation.
3.2.3. Position tracking
In this experiment, the initial position of the Parrot Mambo mini-drone is set as [ ]
[ ] and the desired final position of the Parrot Mambo minidrone is set to [ ] [ ] .
In order to accomplish this, a Stateflow bock is used to design the path planning. On the beginning, the Parrot
Mambo minidrone is set to hover by setting the output as [ ] [ ] . After 4 seconds, the
MAV is set to move forward by [ ] [ ] and then after 15 seconds the MAV is set to
move to the right side by [ ] [ ] , and finally hover at that condition afterward. Figure
6(a) shows the output response of the Parrot Mambo minidrone to follow the path as planned. From the
figure, trajectory and is forced to converge to dedicated output with slightly oscillation due to parameter
uncertainties as mention above. Nevertheless, the output response of the attitude , and altitude shows
great stability in following the desired signal. Figure 6(b) shows motors angular velocities during
position tracking.

 ISSN: 2302-9285
1816
(a) (b)
Figure 5. Parrot Mambo minidrone in hover position under external perturbations, (a) Altitude and attitude
responses, (b) Motors angular velocities
(a) (b)
Figure 6. Parrot Mambo mini-drone position tracking,(a) Position and Attitude responses,
(b) Motors angular velocities
4. CONCLUSION
This paper presents a position and an attitude control implemented on the commercial MAV.
For the attitude control, a PID control was proposed to stabilize the MAV subjected to small perturbation.
Furthermore, for the position control, a PID controller with gravity compensator was utilized to ensure
quadrotor able to manoeuvre successfully to the desired position by following the path as planned. Finally, in
the conducted simulations and experiments on the Parrot Mambo minidrone with small perturbations, the PID
controller demonstrates the MAV can achieve attitude stabilization, hover at desired altitude and then follow
the desired trajectory as planned. For future work, a robust controller such as the adaptive PID or the sliding mode
control techniques can be simulated and implemented on this commercial MAV
ACKNOWLEDGEMENTS
The authors would like to thank Universiti Teknologi Malaysia (UTM) under the Research
University Grant (R.J130000.2651.17J42), Universiti Teknikal Malaysia Melaka (UTeM), and Ministry of
Education Malaysia for supporting this research.

1817
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BIOGRAPHIES OF AUTHORS
Aminurrashid Noordin received the B.Eng. and the M.Eng. Degree in Mechatronics
Engineering from Universiti Teknologi Malaysia in 2002 and 2009 respectively, where he is
currently working toward the Ph.D. in the Department of Control and Mechatronics Engineering
of Universiti Teknologi Malaysia (UTM). Since 2011, he has been with Department of Electrical
Engineering Technology, Faculty of Electrical and Electronic Engineering Technology of
Universiti Teknikal Malaysia Melaka where he is currently a Senior Lecturer. His research
interests include Nonlinear Control System, Robotics and Embedded System.
Mohd Ariffanan Mohd Basri received the B.Eng. and the M.Eng. Degree in Mechatronics
Engineering from Universiti Teknologi Malaysia in 2004 and 2009 respectively. He also
received the Ph.D. in Electrical Engineering from Universiti Teknologi Malaysia in 2015. He is
currently a Senior Lecturer in Department of Control and Mechatronics Engineering of
Universiti Teknologi Malaysia. His research interests include intelligent and Nonlinear Control
Systems.
Zaharuddin Mohamed received his B.Eng. in Electrical, Electronics and Systems from
Universiti Kebangsaan Malaysia (UKM) in 1993, M.Sc. in Control Systems Engineering from
The University of Sheffield in 1995 and Ph.D. in Control Systems Engineering from The
University of Sheffield in 2003. Currently, he is a Professor in Department of Control and
Mechatronics Engineering of Universiti Teknologi Malaysia (UTM) and his current research
interest involve the control of Mechatronics systems, flexible and smart structures.

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