Radial Basis Function Network Based Self-Adaptive PID Controller for Quadcopter: Through Diverse Conditions

(1) Nur Hayati Sahrir Mail (Universiti Teknologi Malaysia, Malaysia)
(2) * Mohd Ariffanan Mohd Basri Mail (Universiti Teknologi Malaysia, Malaysia)
*corresponding author

Abstract


A quadcopter is an underactuated and nonlinear system which requires a robust controller to aid in maneuvering the quadcopter during flight. A Proportional-Integral-Derivative (PID) controller is easy and suitable to implement, and its efficiency is proved in quadcopter control. However, a PID controller with fixed parameters is inadequate enough to control a quadcopter system with different inputs or perturbations. This paper proposes the development of a self-adaptive PID controller assisted by Radial Basis Function (RBF) Network, to improve the function of the PID controller and help a quadcopter to better adapt towards different inputs and situations, independently.  This work contributes to introducing RBF-PID controller to adaptively fly the underactuated quadcopter through different trajectory and perturbations using simulation. By using the hidden Gaussian function to train the current input, estimate the suitable output and update the Jacobian Information during system control, the PID gains can change adaptively during flight, additionally with the help of Gradient Descent Method (GDM). The proposed method is compared to the traditional PID controller tuned using the PID Tuner App in Simulink. Different inputs are given to test the altitude, attitudes, and position tracking such as step, multistep, sine wave, circular and lemniscate trajectory. The simulated results proved the robustness of RBF-PID in enhancing the disturbance rejection capacity by 13% to 25% in the presence of perturbations (sine wave and wind gust) compared to PID controller. The proposed controller can ensure quadcopter’s flight stability through perturbations that is within the quadcopter’s limitations.

Keywords


Neural Network; PID Controller; Quadcopter UAV; Radial Basis Function

   

DOI

https://doi.org/10.31763/ijrcs.v4i1.1261
      

Article metrics

10.31763/ijrcs.v4i1.1261 Abstract views : 227 | PDF views : 36

   

Cite

   

Full Text

Download

References


[1] B. Chamberlain and W. Sheikh, “Design and Implementation of a Quadcopter Drone Control System for Photography Applications,” 2022 Intermountain Engineering, Technology and Computing (IETC), pp. 1-7, 2022, https://doi.org/10.1109/IETC54973.2022.9796735.

[2] S. A. Patil, P. R. Shinge, A. N. Kale, S. R. Antad, R. A. Hatgine, “Photography and Videography Drone,” International Research Journal of Modernization in Engineering Technology and Science, vol. 5, no. 5, pp. 2416–2419, 2023, https://www.doi.org/10.56726/IRJMETS34742.

[3] S. A, J. H. N, S. K. Da, “Quadcopter Unmanned Aerial Vehicle (UAV) for Mapping, Spraying and Crop Dusting,” International Research Journal of Engineering and Technology, vol. 7, no. 12, pp. 427–435, 2020, https://www.irjet.net/archives/V7/i12/IRJET-V7I1274.pdf.

[4] Y. Lee and J. Juang, “Color identification for quadcopter flight control and object inspection,” Advances in Mechanical Engineering, vol. 11, no. 2, pp. 1–16, 2019, https://doi.org/10.1177/1687814018822559.

[5] Shasyasyam, Shreeyansh, A. Jaishwal and V. M. Lakshe, “Weather Station Quadcopter Using Arduino with NRF24L01 and GPS Module,” International Research Journal of Engineering and Technology, vol. 6, no. 3, pp. 4690–4691, 2019, https://www.irjet.net/archives/V6/i3/IRJET-V6I31202.pdf.

[6] A. Sheta, M. Braik, D. R. Maddi, A. Mahdy, S. Aljahdali, and H. Turabieh, “Optimization of PID Controller to Stabilize Quadcopter Movements using Meta-Heuristic Search Algorithms,” Applied Science, vol. 11, no. 14, p. 6492, 2021, https://doi.org/10.3390/app11146492.

[7] S. Khatoon, M. Shahid, Ibraheem and H. Chaudhary, “Dynamic modeling and stabilization of quadrotor using PID controller,” 2014 International Conference on Advances in Computing, Communications and Informatics (ICACCI), pp. 746-750, 2014, https://doi.org/10.1109/ICACCI.2014.6968383.

[8] A. Iyer and H. O. Bansal, “Modelling, Simulation, and Implementation of PID Controller on Quadrotors,” 2021 International Conference on Computer Communication and Informatics (ICCCI), pp. 1-7, 2021, https://doi.org/10.1109/ICCCI50826.2021.9402301.

[9] S. Abdelhay and A. Zakriti, “Modeling of a Quadcopter Trajectory Tracking System Using PID Controller,” Procedia Manufacturing, vol. 32, pp. 564–571, 2019, https://doi.org/10.1016/j.promfg.2019.02.253.

[10] A. Saibi, R. Boushaki, and H. Belaidi, “Backstepping Control of Drone †,” Engineering Proceedings, vol. 14, no. 1, p. 4, 2022, https://doi.org/10.3390/engproc2022014004.

[11] R. Roy, M. Islam, N. Sadman, M. A. P. Mahmud, K. D. Gupta, and M. M. Ahsan, “A Review on Comparative Remarks, Performance Evaluation and Improvement Strategies of Quadrotor Controllers,” Technologies, vol. 9, no. 2, p. 37, 2021, https://doi.org/10.3390/technologies9020037.

[12] H. E. Glida, L. Abdou, A. Chelihi, C. Sentouh, and S. E. I. Hasseni, “Optimal model-free backstepping control for a quadrotor helicopter,” Nonlinear Dynamics, vol. 100, pp. 3449–3468, 2020, https://doi.org/10.1007/s11071-020-05671-x.

[13] M. A. M. Basri and A. Noordin, “Optimal backstepping control of quadrotor uav using gravitational search optimization algorithm,” Bulletin of Electrical Engineering and Informatics, vol. 9, no. 5, pp. 1819–1826, 2020, https://doi.org/10.11591/eei.v9i5.2159.

[14] A. Noordin, M. A. Mohd Basri, Z. Mohamed, and I. Mat Lazim, “Adaptive PID Controller Using Sliding Mode Control Approaches for Quadrotor UAV Attitude and Position Stabilization,” Arabian Journal for Science and Engineering, vol. 46, pp. 963–981, 2021, https://doi.org/10.1007/s13369-020-04742-w.

[15] X. Hu and J. Liu, “Research on UAV Balance Control Based on Expert-fuzzy Adaptive PID,” 2020 IEEE International Conference on Advances in Electrical Engineering and Computer Applications (AEECA), pp. 787-789, 2020, https://doi.org/10.1109/AEECA49918.2020.9213511.

[16] A. Noordin, M. A. Mohd Basri, and Z. Mohamed, “Adaptive PID Control via Sliding Mode for Position Tracking of Quadrotor MAV: Simulation and Real-Time Experiment Evaluation,” Aerospace, vol. 10, no. 6, p. 512, 2023, https://doi.org/10.3390/aerospace10060512.

[17] H. Ríos, R. Falcón, O. A. González and A. Dzul, “Continuous Sliding-Mode Control Strategies for Quadrotor Robust Tracking: Real-Time Application,” IEEE Transactions on Industrial Electronics, vol. 66, no. 2, pp. 1264-1272, 2019, https://doi.org/10.1109/TIE.2018.2831191.

[18] A. Eltayeb, M. F. Rahmat, M. A. M. Basri, M. A. M. Eltoum and S. El-Ferik, “An Improved Design of an Adaptive Sliding Mode Controller for Chattering Attenuation and Trajectory Tracking of the Quadcopter UAV,” IEEE Access, vol. 8, pp. 205968-205979, 2020, https://doi.org/10.1109/ACCESS.2020.3037557.

[19] Z. Cai, S. Zhang and X. Jing, “Model Predictive Controller for Quadcopter Trajectory Tracking Based on Feedback Linearization,” IEEE Access, vol. 9, pp. 162909-162918, 2021, https://doi.org/10.1109/ACCESS.2021.3134009.

[20] A. Andriën, D. Kremers, D. Kooijman and D. Antunes, “Model Predictive Tracking Controller for Quadcopters with Setpoint Convergence Guarantees,” 2020 American Control Conference (ACC), pp. 3205-3210, 2020, https://doi.org/10.23919/ACC45564.2020.9147947.

[21] B. Li and Y. Wang, “An Enhanced Model Predictive Controller for Quadrotor Attitude Quick Adjustment with Input Constraints and Disturbances,” International Journal of Control, Automation and Systems, vol. 20, pp. 648–659, 2022, https://doi.org/10.1007/s12555-020-0815-9.

[22] J. A. Cárdenas, U. E. Carrero, E. C. Camacho, and J. M. Calderón, “Optimal PID ø axis Control for UAV Quadrotor based on Multi-Objective PSO,” IFAC-PapersOnLine, vol. 55, no. 14, pp. 101–106, 2022, https://doi.org/10.1016/j.ifacol.2022.07.590.

[23] M. F. Q. Say, E. Sybingco, A. A. Bandala, R. R. P. Vicerra and A. Y. Chua, “A Genetic Algorithm Approach to PID Tuning of a Quadcopter UAV Model,” 2021 IEEE/SICE International Symposium on System Integration (SII), pp. 675-678, 2021, https://doi.org/10.1109/IEEECONF49454.2021.9382697.

[24] S. Bari, S. S. Zehra Hamdani, H. U. Khan, M. u. Rehman and H. Khan, “Artificial Neural Network Based Self-Tuned PID Controller for Flight Control of Quadcopter,” 2019 International Conference on Engineering and Emerging Technologies (ICEET), pp. 1-5, 2019, https://doi.org/10.1109/CEET1.2019.8711864.

[25] X. Du, J. Wang, V. Jegatheesan, and G. Shi, “Dissolved oxygen control in activated sludge process using a neural network-based adaptive PID algorithm,” Applied Sciences, vol. 8, no. 2, p. 261, 2018, https://doi.org/10.3390/app8020261.

[26] F. Jiang, F. Pourpanah and Q. Hao, “Design, Implementation, and Evaluation of a Neural-Network-Based Quadcopter UAV System,” IEEE Transactions on Industrial Electronics, vol. 67, no. 3, pp. 2076-2085, 2020, https://doi.org/10.1109/TIE.2019.2905808.

[27] J. Gómez-Avila, C. López-Franco, A. Y. Alanis and N. Arana-Daniel, “Control of Quadrotor using a Neural Network based PID,” 2018 IEEE Latin American Conference on Computational Intelligence (LA-CCI), pp. 1-6, 2018, https://doi.org/10.1109/LA-CCI.2018.8625222.

[28] O. Rodríguez-Abreo, J. Rodríguez-Reséndiz, C. Fuentes-Silva, R. Hernández-Alvarado and M. D. C. P. T. Falcón, “Self-Tuning Neural Network PID With Dynamic Response Control,” IEEE Access, vol. 9, pp. 65206-65215, 2021, https://doi.org/10.1109/ACCESS.2021.3075452.

[29] T. Huang, L. Shan, J. Li, Z. Yu and C. Liu, “Closed-Loop RBF-PID Control Method for Position and Attitude Control of Stewart Platform,” 2019 Chinese Control Conference (CCC), pp. 3096-3101, 2019, https://doi.org/10.23919/ChiCC.2019.8865860.

[30] Y. Dai, C. S. Yang, X. Huang and D. Xu, “RBF Neural Network Adaptive PID Control for Energy Storage System in Grid-Connected Photovoltaic Microgrid,” 2018 5th International Conference on Information, Cybernetics, and Computational Social Systems (ICCSS), pp. 212-217, 2018, https://doi.org/10.1109/ICCSS.2018.8572478.

[31] F. Che, Z. Wang and B. Wu, “Research on battery charging and discharging control system based on RBF-PID,” 2022 IEEE 5th International Conference on Automation, Electronics and Electrical Engineering (AUTEEE), pp. 648-651, 2022, https://doi.org/10.1109/AUTEEE56487.2022.9994280.

[32] Q. Jiang, L. Zhu, C. Shu, V. Sekar, “An efficient multilayer RBF neural network and its application to regression problems,” Neural Computing and Applications, vol. 34, pp. 4133–4150, 2022, https://doi.org/10.1007/s00521-021-06373-0.

[33] S. Furukawa, S. Kondo, A. Takanishi and H. -o. Lim, “Radial basis function neural network based PID control for quad-rotor flying robot,” 2017 17th International Conference on Control, Automation and Systems (ICCAS), pp. 580-584, 2017, https://doi.org/10.23919/ICCAS.2017.8204300.

[34] N. H. Sahrir and M. A. Mohd Basri, “PSO – PID Controller for Quadcopter UAV: Index Performance Comparison,” Arabian Journal for Science and Engineering, vol. 48, pp. 15241–15255, 2023, https://doi.org/10.1007/s13369-023-08088-x3-08088-x.

[35] M. F. Shehzad, A. Bilal and H. Ahmad, “Position & Attitude Control of an Aerial Robot (Quadrotor) With Intelligent PID and State feedback LQR Controller: A Comparative Approach,” 2019 16th International Bhurban Conference on Applied Sciences and Technology (IBCAST), pp. 340-346, 2019, https://doi.org/10.1109/IBCAST.2019.8667170.

[36] S. Ma et al., “RBF-Network-Based Predictive Ship Course Control,” 2020 Chinese Control And Decision Conference (CCDC), pp. 3506-3511, 2020, https://doi.org/10.1109/CCDC49329.2020.9164344.

[37] D. S. Soper, “Using an Opportunity Matrix to Select Centers for RBF Neural Networks,” Algorithms, vol. 16, no. 10, p. 455, 2023, https://doi.org/10.3390/a16100455.

[38] Y. Xie, X. Wang, H. Yu and R. Zhang, “Research on Adaptive Control of Down Pressure Based on RBF Neural Network,” 2021 36th Youth Academic Annual Conference of Chinese Association of Automation (YAC), pp. 402-405, 2021, https://doi.org/10.1109/YAC53711.2021.9486452.

[39] X. Meng-han and S. Wen-sheng, “RBF neural network PID trajectory tracking based on 6-PSS parallel robot,” 2019 Chinese Automation Congress (CAC), pp. 5674-5678, 2019, https://doi.org/10.1109/CAC48633.2019.8996255.

[40] W. Zhou, Y. He and S. Jin, “Research of feedforward +RBF neural network for permanent magnet linear Motor in XY motion platform,” 2022 23rd International Conference on Electronic Packaging Technology (ICEPT), pp. 1-5, 2022, https://doi.org/10.1109/ICEPT56209.2022.9873171.

[41] X. Shi, H. Zhao, and Z. Fan, “Parameter optimization of nonlinear PID controller using RBF neural network for continuous stirred tank reactor,” Measurement and Control, vol. 56, no. 9-10, pp. 1835–1843, 2023, https://doi.org/10.1177/00202940231189307.

[42] S. I. Abdelmaksoud, M. Mailah and A. M. Abdallah, “Improving Disturbance Rejection Capability for a Quadcopter UAV System Using Self-Regulating Fuzzy PID Controller,” 2020 International Conference on Computer, Control, Electrical, and Electronics Engineering (ICCCEEE), pp. 1-6, 2021, https://doi.org/10.1109/ICCCEEE49695.2021.9429661.


Refbacks

  • There are currently no refbacks.


Copyright (c) 2023 Nur Hayati Sahrir, Mohd Ariffanan Mohd Basri

Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

 


About the JournalJournal PoliciesAuthor Information

International Journal of Robotics and Control Systems
e-ISSN: 2775-2658
Website: https://pubs2.ascee.org/index.php/IJRCS
Email: ijrcs@ascee.org
Organized by: Association for Scientific Computing Electronics and Engineering (ASCEE)Peneliti Teknologi Teknik IndonesiaDepartment of Electrical Engineering, Universitas Ahmad Dahlan and Kuliah Teknik Elektro
Published by: Association for Scientific Computing Electronics and Engineering (ASCEE)
Office: Jalan Janti, Karangjambe 130B, Banguntapan, Bantul, Daerah Istimewa Yogyakarta, Indonesia