Control Design of the Quadrotor Aircraft based on the Integral Adaptive Improved Integral Backstepping Sliding Mode Scheme
Received: 11 July 2024 | Revised: 9 August 2024 | Accepted: 22 August 2024 | Online: 31 August 2024
Corresponding author: Ibraheem Kasim Ibraheem
Abstract
It is known that disturbances reduce tracking accuracy and control effect. To address these issues, in this paper, the Integral Adaptive Improved Integral Backstepping Sliding Mode Control (IAIIBSMC) method for position control of the quadrotor with uncertain disturbances, is proposed. Integrals are introduced into the adaptive reaching law and are extended to the control of virtual variables based on integral backstepping control, enhancing the system's anti-disturbance performance. The final combination with Sliding Mode Control (SMC) further improves system performance. Compared to the traditional Adaptive Integral Backstepping Control (AIBC), the proposed IAIIBSMC demonstrates superior tracking control, faster response, stronger anti-interference ability, and smaller overshoot. Experimental comparisons of different control methods and disturbances during fixed-point hovering and trajectory tracking show that the IAIIBSMC achieves better control. Specifically, the maximum position tracking error using IAIIBSMC is approximately 0.191 m, 22.04% lower than that of the AIBC. The steady-state error of IAIIBSMC is about 3 mm, which is negligible within the allowable range. These results validate the effectiveness and superiority of the proposed controller in achieving precise control under various disturbance conditions.
Keywords:
quadrotor aircraft, adaptive control, hovering control, trajectory tracking control, integral backstepping sliding mode controlDownloads
References
M. Rinaldi, S. Primatesta, and G. Guglieri, "A Comparative Study for Control of Quadrotor UAVs," Applied Sciences, vol. 13, no. 6, Jan. 2023, Art. no. 3464.
G. Sonugur, "A Review of quadrotor UAV: Control and SLAM methodologies ranging from conventional to innovative approaches," Robotics and Autonomous Systems, vol. 161, Mar. 2023, Art. no. 104342.
S. I. Abdelmaksoud, M. Mailah, and A. M. Abdallah, "Control Strategies and Novel Techniques for Autonomous Rotorcraft Unmanned Aerial Vehicles: A Review," IEEE Access, vol. 8, pp. 195142–195169, Jan. 2020.
M. Idrissi, M. Salami, and F. Annaz, "A Review of Quadrotor Unmanned Aerial Vehicles: Applications, Architectural Design and Control Algorithms," Journal of Intelligent & Robotic Systems, vol. 104, no. 2, Jan. 2022, Art. no. 22.
W. Zhu, H. Du, Y. Cheng, and Z. Chu, "Hovering control for quadrotor aircraft based on finite-time control algorithm," Nonlinear Dynamics, vol. 88, no. 4, pp. 2359–2369, Jun. 2017.
G. E. M. Abro, V. S. Asirvadam, S. A. Bin Mohd Zulkifli, A. Sattar, D. Kumar, and A. Anwer, "Effects of unmodelled dynamic factors on an under-actuated quadrotor: A review of hybrid observer design methods," Measurement and Control, vol. 53, no. 9–10, pp. 1978–1987, Nov. 2020.
C. Rosales, S. Tosetti, C. Soria, and F. Rossomando, "Neural Adaptive PID Control of a Quadrotor using EFK," IEEE Latin America Transactions, vol. 16, no. 11, pp. 2722–2730, Nov. 2018.
S. Singh, A. T. Azar, A. Ouannas, Q. Zhu, W. Zhang, and J. Na, "Sliding mode control technique for multi-switching synchronization of chaotic systems," in 9th International Conference on Modelling, Identification and Control, Kunming, China, Jul. 2017, pp. 880–885.
A. Sir Elkhatem and S. Naci Engin, "Robust LQR and LQR-PI control strategies based on adaptive weighting matrix selection for a UAV position and attitude tracking control," Alexandria Engineering Journal, vol. 61, no. 8, pp. 6275–6292, Aug. 2022.
A. Aboudonia, A. El-Badawy, and R. Rashad, "Disturbance observer-based feedback linearization control of an unmanned quadrotor helicopter," Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, vol. 230, no. 9, pp. 877–891, Oct. 2016.
T. S. Gorripotu, H. Samalla, Ch. Jagan Mohana Rao, A. T. Azar, and D. Pelusi, "TLBO Algorithm Optimized Fractional-Order PID Controller for AGC of Interconnected Power System," in Soft Computing in Data Analytics, J. Nayak, A. Abraham, B. M. Krishna, G. T. Chandra Sekhar, and A. K. Das, Eds. New York, NY, USA: Springer, 2019, pp. 847–855.
K. Djamel, M. Abdellah, and A. Benallegue, "Attitude Optimal Backstepping Controller Based Quaternion for a UAV," Mathematical Problems in Engineering, vol. 2016, no. 1, 2016, Art. no. 8573235.
C. Xiu, F. Liu, and G. Xu, "General model and improved global sliding mode control of the four-rotor aircraft," Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, vol. 232, no. 4, pp. 383–389, Apr. 2018.
S. Abdelmalek, A. T. Azar, and D. Dib, "A Novel Actuator Fault-tolerant Control Strategy of DFIG-based Wind Turbines Using Takagi-Sugeno Multiple Models," International Journal of Control, Automation and Systems, vol. 16, no. 3, pp. 1415–1424, Jun. 2018.
J. Yu, P. Shi, and L. Zhao, "Finite-time command filtered backstepping control for a class of nonlinear systems," Automatica, vol. 92, pp. 173–180, Jun. 2018.
C. Hua, G. Feng, and X. Guan, "Robust controller design of a class of nonlinear time delay systems via backstepping method," Automatica, vol. 44, no. 2, pp. 567–573, Feb. 2008.
T. Espinoza, A. E. Dzul, R. Lozano, and P. Parada, "Backstepping - Sliding Mode Controllers Applied to a Fixed-Wing UAV," Journal of Intelligent & Robotic Systems, vol. 73, no. 1, pp. 67–79, Jan. 2014.
R. Coban, "Backstepping Sliding Mode Tracking Controller Design and Experimental Application to an Electromechanical System," Journal of Control Engineering and Applied Informatics, vol. 19, no. 3, pp. 88–96, Sep. 2017.
A. T. Azar and F. E. Serrano, "Stabilization and Control of Mechanical Systems with Backlash," in Handbook of Research on Advanced Intelligent Control Engineering and Automation, Hershey, PA, USA: IGI Global, 2015, pp. 1–60.
F. Alotaibi, A. Al-Dhaqm, and Y. D. Al-Otaibi, "A Conceptual Digital Forensic Investigation Model Applicable to the Drone Forensics Field," Engineering, Technology & Applied Science Research, vol. 13, no. 5, pp. 11608–11615, Oct. 2023.
A. Hashmi, "A Novel Drone-based Search and Rescue System using Bluetooth Low Energy Technology," Engineering, Technology & Applied Science Research, vol. 11, no. 2, pp. 7018–7022, Apr. 2021.
O. Cristea, N.-S. Popa, M.-G. Manea, and C. Popa, "About the Automation of an Autonomous Sail-propelled Search Drone," Engineering, Technology & Applied Science Research, vol. 13, no. 6, pp. 12334–12341, Dec. 2023.
C. Tian, J. Wang, Z. Yin, and G. Yu, "Integral backstepping based nonlinear control for quadrotor," in 35th Chinese Control Conference, Chengdu, China, Jul. 2016, pp. 10581–10585.
A. Poultney, P. Gong, and H. Ashrafiuon, "Integral backstepping control for trajectory and yaw motion tracking of quadrotors," Robotica, vol. 37, no. 2, pp. 300–320, Feb. 2019.
S.-H. Tsai, Y.-P. Chang, H.-Y. Lin, and L.-M. Chang, "Design and Implementation of Integral Backstepping Sliding Mode Control for Quadrotor Trajectory Tracking," Processes, vol. 9, no. 11, Nov. 2021, Art. no. 1951.
D. J. Almakhles, "Robust Backstepping Sliding Mode Control for a Quadrotor Trajectory Tracking Application," IEEE Access, vol. 8, pp. 5515–5525, Jan. 2020.
S. Ullah, Q. Khan, A. Mehmood, and R. Akmeliawati, "Integral backstepping integral sliding mode control of underactuated nonlinear electromechanical systems," Control Engineering and Applied Informatics, vol. 21, no. 3, pp. 42–50, Sep. 2019.
F. Chen, R. Jiang, K. Zhang, B. Jiang, and G. Tao, "Robust Backstepping Sliding-Mode Control and Observer-Based Fault Estimation for a Quadrotor UAV," IEEE Transactions on Industrial Electronics, vol. 63, no. 8, pp. 5044–5056, Aug. 2016.
Z. Jia, J. Yu, Y. Mei, Y. Chen, Y. Shen, and X. Ai, "Integral backstepping sliding mode control for quadrotor helicopter under external uncertain disturbances," Aerospace Science and Technology, vol. 68, pp. 299–307, Sep. 2017.
X. Dang, X. Zhao, C. Dang, H. Jiang, X. Wu, and L. Zha, "Incomplete differentiation-based improved adaptive backstepping integral sliding mode control for position control of hydraulic system," ISA Transactions, vol. 109, pp. 199–217, Mar. 2021.
N. Dalwadi, D. Deb, and S. M. Muyeen, "Adaptive backstepping controller design of quadrotor biplane for payload delivery," IET Intelligent Transport Systems, vol. 16, no. 12, pp. 1738–1752, 2022.
S. H. Derrouaoui, Y. Bouzid, and M. Guiatni, "Adaptive integral backstepping control of a reconfigurable quadrotor with variable parameters’ estimation," Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, vol. 236, no. 7, pp. 1294–1309, Aug. 2022.
K. Eliker and W. Zhang, "Finite-time Adaptive Integral Backstepping Fast Terminal Sliding Mode Control Application on Quadrotor UAV," International Journal of Control, Automation and Systems, vol. 18, no. 2, pp. 415–430, Feb. 2020.
Downloads
How to Cite
License
Copyright (c) 2024 Zhang Jinlong, Wang Jianhong, Wen Ruchun, Luo Xi, Ding Yongjun, Ahmad Taher Azar, Saim Ahmed, Ibrahim A. Hameed, Ali Mahdi Zalzala, Ibraheem Kasim Ibraheem
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:
- Authors retain the copyright and grant the journal the right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) after its publication in ETASR with an acknowledgement of its initial publication in this journal.