Dynamic Modeling and Flight Control Design for Multicopter

Drilon Bunjaku; Gorjan Nadzinski; Mile Stankovski; Jovan D. Stefanovski

doi:10.15866/irease.v11i5.15512

Dynamic Modeling and Flight Control Design for Multicopter

Drilon Bunjaku^(1*), Gorjan Nadzinski⁽²⁾, Mile Stankovski⁽³⁾, Jovan D. Stefanovski⁽⁴⁾

^(*) Corresponding author

Authors' affiliations

DOI: https://doi.org/10.15866/irease.v11i5.15512

Abstract

This paper presents a step by step dynamic modeling of the multicopter – quadcopter based on Newton Euler formalism, including the dynamics of the motor and the propellers. The linearization of the nonlinear mathematical model of the quadrotor is derived systematically when ψ ≠ 0. Consequently, the simulation model of the flight controller based on the cascade control has been designed, which ensures a stabilization of the quad rotor and a robust-like trajectory tracking performance. The proposed cascade control strategy including the outer inverse dynamics provides controlling of the yaw orientation angle. The comparison of the use of a linear cascade PID-PD and the combination of PID-MPC is performed on 3D referent trajectories tracking with and without the presence of periodic external torque disturbances. The results are obtained from the MATLAB simulation model.
Copyright © 2018 Praise Worthy Prize - All rights reserved.

Keywords

Quadrotor Dynamics; Control System Design; Flight Controller; Trajectory Tracking

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References

S. Bouabdallah, A. Noth, and R. Siegwart, Pid vs LQ control techniques applied to an indoor micro quadrotor, Proc. IEEE/RSJ International Conference on Intelligent Robots and Systems, vol. 3, pp. 2451–2456 (2004).
http://dx.doi.org/10.1109/iros.2004.1389776

G. Cai, B. M. Chen, and T. H. Lee, Unmanned rotorcraft systems (Springer, 2011).

R. Goel, S. M. Shah, N. K. Gupta, and N. Ananthkrishnan, Modeling, simulation and flight testing of an autonomous quadrotor, Proceedings of ICEAE, pp. 1–7 (2009).

T. Hamel, R. Mahony, R. Lozano, and J. Ostrowski, Dynamic modeling and configuration stabilization for an x4-flyer, IFAC Proceedings Volumes, vol. 35 (1) (2002), 217–222.
http://dx.doi.org/10.3182/20020721-6-es-1901.00848

Y. Bi, M. Lan, J. Li, K. Zhang, H. Qin, Sh. Lai, and B. M. Chen. Robust autonomous flight and mission management for MAVs in GPS-denied environments, IEEE Asian Control Conference (ASCC), pp. 67-72 (2017).
http://dx.doi.org/10.1109/ascc.2017.8287144

S. K. Phang, S. Lai, F. Wang, M. Lan, and B. M. Chen, Uav calligraphy, IEEE International Conference Control & Automation (ICCA), pp. 422–428 (2014).
http://dx.doi.org/10.1109/icca.2014.6870957

S. K. Phang, K. Li, K. H. Yu, B. M. Chen, and T. H. Lee, Systematic design and implementation of a micro unmanned quadrotor system, Unmanned Systems, vol. 2 (2) (2014), 121–141.
http://dx.doi.org/10.1142/s2301385014500083

Q. Quan, Introduction to multicopter design and control (Springer, 2017).
http://dx.doi.org/10.1007/978-981-10-3382-7_1

B. L. Stevens, F. L. Lewis, and E. N. Johnson, Aircraft control and simulation: dynamics, controls design, and autonomous systems (John Wiley & Sons, 2015).
http://dx.doi.org/10.1002/9781119174882

X. Zhang, B. Xian, B. Zhao, Y. Zhang, Autonomous Flight Control of a Nano Quadrotor Helicopter in a GPS-Denied Environment Using On-Board Vision. IEEE Transactions on Industrial Electronics. vol. 62 (2015), 6392–6403.
http://dx.doi.org/10.1109/tie.2015.2420036

D. Bunjaku, J. Stefanovski, and M. Stankovski, Dynamic modeling and asymptotic point stabilization control of two differential wheeled mobile robot, Journal of Electrical Engineering and Information Technologies - JEEIT, vol. 1(1-2) (2017), 25–35,

D. Bunjaku, and M. Stankovski, The system identification in industrial control: Case study on the differential wheeled mobile robot, IEEE International Conference Control & Automation (ICCA), pp. 94-99 (2017).
http://dx.doi.org/10.1109/icca.2017.8003041

K. Wang, Y. Ke, and B. M. Chen, Development of autonomous hybrid UAV U-Lion with VTOL and cruise flying capabilities, IEEE International Conference on Advanced Intelligent Mechatronics (AIM), pp. 1053-1060 (2016).
http://dx.doi.org/10.1109/aim.2016.7576909

Dief, T., Kamra, M., Yoshida, S., Modeling, System Identification and PID-A Controller for Tethered Unmanned Quad-Rotor Helicopter, (2017) International Review of Aerospace Engineering (IREASE), 10 (4), pp. 215-223.
http://dx.doi.org/10.15866/irease.v10i4.12589

S. Deskovski, V. Sazdovski, and Z. Gacovski, Guidance Laws and Navigation Systems for Quadrotor UAV: Theoretical and Practical Findings, In Complex Systems, (Springer, Cham, 2016, pp. 395-407).
http://dx.doi.org/10.1007/978-3-319-28860-4_18

J. C. V. Junior, J. C. De Paula, G. V. Leandro, and M. C. Bonfim, Stability control of a quad-rotor using a PID controller, Journal of Applied Instrumentation and Control 1(1) (2013), 15-20.
http://dx.doi.org/10.3895/s2318-45312013000100003

O. Araar, and N. Aouf, Full linear control of a quadrotor UAV, LQ vs H∞, UKACC International Conference on Control, pp. 133-138 (2014).
http://dx.doi.org/10.1109/control.2014.6915128

A. Sorensen, Autonomous control of a miniature quadrotor following fast trajectories, Master thesis, Aalborg University, 2010.

G. V. Raffo, M. G. Ortega, and F. R. Rubio, MPC with Nonlinear ℋ∞ Control for Path Tracking of a Quad-Rotor Helicopter, IFAC Proceedings Volumes 41(2) (2008), 8564-8569.
http://dx.doi.org/10.3182/20080706-5-kr-1001.01448

G. Ganga and M. M. Dharmana, MPC controller for trajectory tracking control of quadcopter, Proceedings of IEEE International Conference on Circuit, Power and Computing Technologies (ICCPCT), pp. 1-6 (2017).
http://dx.doi.org/10.1109/iccpct.2017.8074380

Deif, T., Kassem, A., El Baioumi, G., Modeling, Robustness, and Attitude Stabilization of Indoor Quad Rotor Using Fuzzy Logic Control, (2014) International Review of Aerospace Engineering (IREASE), 7 (6), pp. 192-201.
http://dx.doi.org/10.15866/irease.v7i6.4306

Deif, T., Kassem, A., El Baioumi, G., Modeling and Attitude Stabilization of Indoor Quad Rotor, (2014) International Review of Aerospace Engineering (IREASE), 7 (2), pp. 43-47.
http://dx.doi.org/10.15866/irease.v7i2.783

Iswanto, I., Ataka, A., Inovan, R., Wahyunggoro, O., Imam Cahyadi, A., Disturbance Rejection for Quadrotor Attitude Control Based on PD and Fuzzy Logic Algorithm, (2016) International Review of Automatic Control (IREACO), 9 (6), pp. 405-412.
http://dx.doi.org/10.15866/ireaco.v9i6.9930

Agustinah, T., Isdaryani, F., Nuh, M., Tracking Control of Quadrotor Using Static Output Feedback with Modified Command-Generator Tracker, (2016) International Review of Automatic Control (IREACO), 9 (4), pp. 242-251.
http://dx.doi.org/10.15866/ireaco.v9i4.9431

Belhadri, K., Kouadri, B., Zegai, M., Adaptive Neural Control Algorithm Design for Attitude Stabilization of Quadrotor UAV, (2016) International Review of Automatic Control (IREACO), 9 (6), pp. 390-396.
http://dx.doi.org/10.15866/ireaco.v9i6.9919

Carloni, G., Bousson, K., A Nonlinear Control Method for Autonomous Navigation Guidance, (2016) International Review of Civil Engineering (IRECE), 7 (4), pp. 102-113.
http://dx.doi.org/10.15866/irece.v7i4.10757

Bousson, K., Gameiro, T., A Quintic Spline Approach to 4D Trajectory Generation for Unmanned Aerial Vehicles, (2015) International Review of Aerospace Engineering (IREASE), 8 (1), pp. 1-9.
http://dx.doi.org/10.15866/irease.v8i1.4780

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