INTELLIGENT ADAPTIVE FRACTIONAL-ORDER BACKSTEPPING CONTROL FOR UNCERTAIN NON-LINEAR QUADROTOR

  • Lemya Guettal LI3CUB Laboratory, Department of Electrical Engineering, University of Biskra, Biskra, Algeria
  • Chellihi Abdelghani LI3CUB Laboratory, Department of Electronic, University of Constantine l, Constantine, Algeria
  • Mostefa MohamedTouba LI3CUB Laboratory, Department of Electrical Engineering, University of Biskra, Biskra, Algeria
  • Riadh Ajgou LGEERE Laboratory, Department of Electrical Engineering, University of El Oued, 39000 El Oued, Algeria
Article ID: 2572
Keywords: quadrotor; fractional-order; backstepping; fuzzy-Chebyshev network

Abstract

An intelligent adaptive fractional-order backstepping control under unknown external disturbances and parameter uncertainties for quadrotor is developed. The developed approach named FCN-FOBC combines fractional-order backstepping control (FOBC) and fuzzy-Chebyshev network (FCN). Initially, the overall control and system tracking are performed using backstepping control (BC). FOBC is designed to advance the convergence speed and control reliability. Second, the FCN is set up to approximate the uncertainties, and a robust term is considered to overcome the problem of FCN approximation errors. Finally, using the Lyapunov theory, the stability of control system is confirmed. The numerical results confirm that the proposed controller has better tracking accuracy and stronger robustness compared to conventional approaches.

References

[1]Moussa Labbadi and Mohamed Cherkaoui, Adaptive fractional-order nonsingular fast terminal sliding mode based robust tracking control of quadrotor UAV with Gaussian random disturbances and uncertainties, IEEE Transactions on Aerospace and Electronic Systems 57(4) (2021), 2265-2277.

[2]L. Qian and H. H. T. Liu, Path-following control of a quadrotor UAV with a cable-suspended payload under wind disturbances, IEEE Trans. Ind. Electron. 67(3) (2020), 2021-2029. https://ieeexplore.ieee.org/abstract/document/8672929.

[3]Mohd Ariffanan Mohd Basri, Abdul Rashid Husain and Kumeresan A. Danapalasingam, Intelligent adaptive backstepping control for MIMO uncertain non-linear quadrotor helicopter systems, Transactions of the Institute of Measurement and Control 37(3) (2015), 345-361.

[4]S. Gupte, P. I. T. Mohandas and J. M. Conrad, A survey of quadrotor unmanned aerial vehicles, Southeastcon, 2012 Proceedings of IEEE, Orlando, FL, USA: IEEE, 2012, pp. 1-6.

[5]S. Bouabdallah, Design and control of quadrotors with application to autonomous flying, Technical Report, 2007. https://doi.org/10.5075/epfl-thesis-3727.

[6]M. Poozesh and S. Mobayen, Event-triggered fractional-order sliding mode control technique for stabilization of disturbed quadrotor unmanned aerial vehicles, Aerospace Science and Technology 121 (2022), 107337. https://doi.org/10.1016/j.ast.2022.107337.

[7]Hamid Saeed Khan and Muhammad Bilal Kadri, Attitude and altitude control of quadrotor by discrete PID control and non-linear model predictive control, 2015 International Conference on Information and Communication Technologies (ICICT), IEEE, 2015, pp. 1-11.

[8]C.-S. Ting, Y.-N. Chang, B.-W. Shi and J.-F. Lieu, Adaptive backstepping control for permanent magnet linear synchronous motor servo drive, IET Electric Power Applications 9(3) (2015), 265-279. https://ietresearch.onlinelibrary.wiley.com/doi/pdfdirect/10.1049/iet-epa. 2014.0246.

[9]Chuansheng Tang and Zhengyong Duan, Direct thrust-controlled PMSLM servo system based on backstepping control, IEEJ Transactions on Electrical and Electronic Engineering 13(5) (2018), 785-790. https://onlinelibrary.wiley.com/doi/abs/10.1002/tee.22630.

[10]F. J. Lin, S. Y. Lee and P. H. Chou, Intelligent integral backstepping sliding-mode control using recurrent neural network for piezo-flexural nanopositioning stage, Asian J. Control 18(2) (2016), 456-472. https://onlinelibrary.wiley.com/doi/full/10.1002/asjc.1057.

[11]J. Cai, C. Wen, H. Su, Z. Liu and L. Xing, Adaptive backstepping control for a class of nonlinear systems with non-triangular structural uncertainties, IEEE Trans. Automat. Control 62(10) (2017), 5220-5226.

[12]Y. Chen, I. Petras and D. Xue, Fractional order control: a tutorial, 2009 American Control Conference, 2009, pp. 1397-1411.

[13]T. Aounallah, N. Essounbouli, A. Hamzaoui and F. Bouchafaa, Algorithm on fuzzy adaptive backstepping control of fractional order for doubly-fed induction generators, IET Renew. Power Gener. 12(8) (2018), 962-967.

[14]M. Shukla and B. Sharma, Stabilization of a class of uncertain fractional order chaotic systems via adaptive backstepping control, 2017 Indian Control Conference (ICC), IEEE, 2017, pp. 462-467.

[15]Z. Wang, Synchronization of an uncertain fractional-order chaotic system via backstepping sliding mode control, Discrete Dyn. Nat. Soc. 2013 (2013), 1-6.

[16]Xiaoyu Shi et al., Adaptive fractional-order SMC controller design for unmanned quadrotor helicopter under actuator fault and disturbances, IEEE Access 8 (2020), 103792-103802.

[17]Zhi Li, Xin Ma and Yibin Li, Robust tracking control strategy for a quadrotor using RPD-SMC and RISE, Neurocomputing 331 (2019), 312-322.

[18]Lemya Guettal, Hossam-Eddine Glida and Abdelghani Chelihi, Adaptive fuzzy-neural network based decentralized backstepping controller for attitude control of quadrotor helicopter, 2020 1st International Conference on Communications, Control Systems and Signal Processing (CCSSP), IEEE, 2020, pp. 394-399.

[19]Tian-He Wang, Xi-Mei Zhao and Hong-Yan Jin, Robust tracking control for permanent magnet linear servo system using intelligent fractional-order backstepping control, Electrical Engineering 103(3) (2021), 1555-1567.

[20]A. Bounemeur, M. Chemachema and N. Essounbouli, Indirect adaptive fuzzy fault-tolerant tracking control for MIMO nonlinear systems with actuator and sensor failures, ISA Transactions 79 (2018), 45-61.

[21]S. Beyhan and M. Itik, Adaptive fuzzy-Chebyshev network control of a conducting polymer actuator, Journal of Intelligent Material Systems and Structures 27(8) (2016), 1019-1029. https://journals.sagepub.com/doi/10.1177/1045389X15577660.

[22]Naeimeh Fakhr Shamloo, Ali Akbarzadeh Kalat and Luigi Chisci, Indirect adaptive fuzzy control of nonlinear descriptor systems, European Journal of Control 51 (2020), 30-38.

Published
2025-01-10
How to Cite
Guettal, L., Abdelghani, C., MohamedTouba, M., & Ajgou, R. (2025). INTELLIGENT ADAPTIVE FRACTIONAL-ORDER BACKSTEPPING CONTROL FOR UNCERTAIN NON-LINEAR QUADROTOR. Advances in Differential Equations and Control Processes, 28. Retrieved from https://ojs.acad-pub.com/index.php/ADECP/article/view/2572
Section
Articles