Abstract
This paper addresses an adaptive super twisting control for a dual-rotor flight system subject to uncertainties. The system can perform vertical take-off and landing, roll and yaw movements. The dynamical model is described under the Euler-Lagrange approach, where a characterization of the thrust and the torque of the rotors is included. However, uncertainties such as friction and unmodeled dynamics remain. To overcome these problems, a class of adaptive sliding mode control is designed, which is robust to bounded uncertainties and external perturbations, offers reduced chattering, and not overestimate the control gain. Furthermore, the closed-loop stability is analyzed. Finally, simulation and experimental validation, and a comparison versus other standard control approaches illustrate the feasibility and usefulness of the proposed controller.
Similar content being viewed by others
References
S. Islam, P. X. Liu, and A. E. Saddik, “Nonlinear robust adaptive sliding mode control design for miniature unmanned multirotor aerial vehicle,” Int. J. Control Autom. Syst., vol. 15, no. 4, pp. 1661–1668, June 2017.
B. Herisse, F. Russotto, T. Hamel, and R. Mahony, “Hovering flight and vertical landing control of a vtol unmanned aerial vehicle using optical flow,” Proc. of IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), Nice, pp. 801–806, September 2008.
D. Lee, T. Ryan, and H. J. Kim, “Autonomous landing of a vtol uav on a moving platform using image-based visual servoing,” Proc. of IEEE International Conference on Robotics and Automation (ICRA), Saint Paul, pp. 971–976, May 2012.
Quanser Inc., “2 DOF HELICOPTER & 3 DOF HELICOPTER,” Quanser Inc., Markham, Canada. https://www.quanser.com
Y. Yu and X. Ding, “A quadrotor test bench for six degree of freedom flight,” J. Intell. Robot. Syst., vol. 68, no. 3, pp. 323–338, December 2012.
P. Nuthi and K. Subbarao, “Experimental verification of linear and adaptive control techniques for a two degrees of freedom helicopter,” Journal of Dyn. Syts. Meas. Ctrl., vol. 137, no. 6, pp. 064501–6, June 2015.
R. Sanz, P. Garcia, Q.-C. Zhong, and P. Albertos, “Robust control of quadrotors based on an uncertainty and disturbance estimator,” Journal of Dyn. Sys. Meas. Ctrl., vol. 138, no. 7, pp. 071006–8, July 2016.
B. Xian, B. Zhao, Y. Zhang and X. Zhang, “Nonlinear control of a quadrotor with deviated center of gravity,” Journal of Dyn. Sys. Meas. Ctrl., vol. 139 no. 1, pp. 011003–8, January 2016.
W. Perruquetti and J. P. Barbot, Sliding Mode Control in Engineering, CRC Press, 2002.
X. Chen, J. H. Park, J. Cao, and J. Qiu, “Sliding mode synchronization of multiple chaotic systems with uncertainties and disturbances,” Appl. Math. Comput., vol. 308, pp. 161–173, September 2017.
X. Chen, J. H. Park, J. Cao, and J. Qiu, “Adaptive synchronization of multiple uncertain coupled chaotic systems via sliding mode control,” Neurocomputing, vol. 273, pp. 9–21, January 2018.
X. Chen, T. Huang, J. Cao, J. H. Park, and J. Qiu, “Finite-time multi-switching sliding mode synchronisation for multiple uncertain complex chaotic systems with network transmission mode,” IET Control Theory & Applications, vol. 13, no. 9, pp. 1246–1257, June 2019.
Y. Wang, Q. Wu and X. Liu, “Adaptive fuzzy sliding mode control for mimo nonaffine dutch-roll system,” Journal of Dyn. Sys. Meas. Ctrl., vol. 139, no. 10, pp. 101010–9, October 2017.
F. Plestan, Y. Shtessel, V. Bregeault, and A. Poznyak, “New methodologies for adaptive sliding mode control,” International Journal of Control, vol. 83, no. 9, pp. 1907–1919, July 2010.
Y. Shtessel, M. Taleb, and F. Plestan, “A novel adaptive-gain super twisting sliding mode controller: Methodology and application,” Automatica, vol. 48, no. 5, pp. 759–769, May 2012.
V. Utkin and A. Poznyak, “Adaptive sliding mode control with application to super-twisting algorithm: Equivalent control method,” Automatica, vol. 49, pp. 39–47, January 2013.
O. Mofid and S. Mobayen, “Adaptive sliding mode control for finite-time stability of quad-rotor UAVs with parametric uncertainties,” ISA Transactions, vol. 72, pp. 1–14, January 2018.
T. Huang, D. Huang, Z. Wang, and A. Shah, “Robust tracking control of a quadrotor UAV based on adaptive sliding mode controller,” Complexity, vol. 2019, pp. 1–15, December 2019.
A. Chriette, F. Plestan, H. Castaneda, M. Pal, M. Guillo, M. Odelga, S. Rajappa, and R. Chandra, “Adaptive robust attitude control for uavs design and experimental validation,” Int. J. Adapt. Control, vol. 30, no. 8–10, pp. 1478–1493, October 2012.
P. Castillo, A. Dzul, and R. Lozano “Real-time stabilization and tracking of a four-rotor mini rotorcraft,” IEEE Trans. Ctrl. Syst. Tech., vol. 12, no. 4, pp. 510–516, July 2004.
C. Wang, B. Song, P. Huang, and C. Tang, “Trajectory tracking control for quadrotor robot subject to payload variation and wind gust disturbance,” J. Intell. Robot. Syst., vol. 83, no. 2, pp. 315–333, January 2016.
H. Castaneda, O. S. Salas-Pena, and J. De Leon-Morales, “Extended observer based on adaptive second order sliding mode control for a fixed wing UAV,” ISA Transactions, vol. 66, pp. 226–232, January 2017.
J. Moreno and M. Osorio, “Strict Lyapunov functions for the super-twisting algorithm,” IEEE Trans. on Automatic Control, vol. 57, no. 4, pp. 1035–1040, February 2012.
R. Kelly and V. Santibáñez, Control de Movimiento de Robots Manipuladores (in Spanish), Pearson Education, 2003.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
The authors thank to CONACYT, Tecnologico de Monterrey and Universidad de Sonora for support through scholarship to develop this project.
Jorge M. Arizaga received his B.Sc. degree in electronic technology engineering in 2014, an M.Sc. in electronics in 2018, both degrees from Universidad de Sonora, in Hermosillo, Mexico. He is currently pursuing his research as a Ph.D. student at Tecnologico de Monterrey, in Monterrey, Mexico, at the School of Engineering and Sciences. His research interests are mainly focused on robotics, robust control and UAVs.
J. R. Noriega received his B.Sc. degree on industrial engineering and electronics from Instituto Tecnologico de Hermosillo, in Hermosillo, Mexico in 1989 and a Ph.D. degree on advanced control techniques, from University of Manchester, Manchester England in 1997. He has been a member of faculty at Universidad de Sonora since January 1998. From 2000 up to 2007 he worked as first head and a founder of the Electronic Technology Program. From 2009 to 2010 he was a visiting professor with the Flexible Electronics Group at The University of Texas at Dallas. From 2010 up to 2013 he was a research scientist at University of Texas at Tyler. Since 2013, he has worked as faculty at University of Sonora. His research interests are adaptive control, modeling and control of nonlinear systems using artificial neural networks, fault detection and diagnosis using artificial neural networks, electronic instrumentation, ion traps and electronic devices.
L. A. Garcia-Delgado received his Ph.D. in electric engineering, mechatronic and control, in 2012, from Instituto Tecnologico de la Laguna, in Torreon, Mexico. Currently, he is a full-time professor-researcher in the Department of Research in Physics of the Universidad de Sonora, Mexico. His fields of interest are mobile robots control, formation control, trajectories generation and obstacle avoidance, among others.
Herman Castaneda graduated in communication and electronic engineering from the Universidad Autonoma de Zacatecas, Zacatecas, Mexico, and both his M.Sc. and Ph.D. degrees in electric engineering with emphasis in nonlinear control from the Universidad Autonoma de Nuevo Leon, Mexico, in 2010 and 2014, respectively. In 2015, he joined to the Tecnologico de Monterrey, Monterrey, Mexico as Postdoctoral fellow, and since 2017 as a Professor Researcher at Mechatronics department and Robotics research group. His research interests include design, modeling, nonlinear control and observers of autonomous vehicles.
Rights and permissions
About this article
Cite this article
Arizaga, J.M., Noriega, J.R., Garcia-Delgado, L.A. et al. Adaptive Super Twisting Control of a Dual-rotor VTOL Flight System Under Model Uncertainties. Int. J. Control Autom. Syst. 19, 2251–2259 (2021). https://doi.org/10.1007/s12555-019-1801-6
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12555-019-1801-6