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Sliding mode collision-free navigation for quadrotors using monocular vision

  • Diego Mercado (a1), Pedro Castillo (a2) and Rogelio Lozano (a2) (a3)

Safe and accurate navigation for autonomous trajectory tracking of quadrotors using monocular vision is addressed in this paper. A second order Sliding Mode (2-SM) control algorithm is used to track desired trajectories, providing robustness against model uncertainties and external perturbations. The time-scale separation of the translational and rotational dynamics allows to design position controllers by giving a desired reference in roll and pitch angles, which is suitable for practical validation in quad-rotors equipped with an internal attitude controller. A Lyapunov based analysis proved the closed-loop stability of the system despite the presence of unknown external perturbations. Monocular vision fused with inertial measurements are used to estimate the vehicle's pose with respect to unstructured scenes. In addition, the distance to potential collisions is detected and computed using the sparse depth map coming also from the vision algorithm. The proposed strategy is successfully tested in real-time experiments, using a low-cost commercial quadrotor.

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1. Song, Y., Xian, B., Zhang, Y., Jiang, X. and Zhang, X., “Towards autonomous control of quadrotor unmanned aerial vehicles in a GPS-denied urban area via laser ranger finder,” Optik-Int. J. Light Electron Opt. 126 (23), 38773882 (2015), ISSN 0030-4026.
2. Courbon, J., Mezouar, Y., Guenard, N. and Martinet, P., “Vision-based navigation of unmanned aerial vehicles,” Control Eng. Pract. 18 (7), 789799 (2010), ISSN 0967-0661.
3. Bi, Y. and Duan, H., “Implementation of autonomous visual tracking and landing for a low-cost quadrotor,” Optik-Int. J. Light Electron Opt. 124 (18), 32963300 (2013), ISSN .
4. Maravall, D., de Lope, J. and Fuentes, J., “Vision-based anticipatory controller for the autonomous navigation of an UAV using artificial neural networks,” Neurocomputing 151 (1), 101107 (2015), ISSN .
5. Li, P., Garratt, M., Lambert, A. and Lin, S., “Metric sensing and control of a quadrotor using a homography-based visual inertial fusion method,” Robot. Auton. Syst. 76, 114 (2016), ISSN .
6. Klein, G. and Murray, D., “Parallel Tracking and Mapping for Small AR Workspaces,” Proceedings of the IEEE International Symposium on Mixed and Augmented Reality (ISMAR), Nara, Japan (2007).
7. Achtelik, M., Achtelik, M., Weiss, S. and Siegwart, R., “Onboard IMU and Monocular Vision Based Control for MAVs in Unknown In- and Outdoor Environments,” Proceedings of the IEEE International Conference on Robotics and Automation (ICRA), Shanghai, China (2011).
8. Weiss, S., Achtelik, M., Lynen, S., Chli, M. and Siegwart, R., “Real-time Onboard Visual-Inertial State Estimation and Self-Calibration of MAVs in Unknown Environments,” Proceedings of the IEEE International Conference on Robotics and Automation (ICRA), Saint Paul, MN, USA (2012).
9. Weiss, S., Scaramuzza, D. and Siegwart, R., “Monocular-SLAM-based navigation for autonomous micro helicopters in GPS-denied environments,” J. Field Robot. 28 (6), 854874 (2011).
10. Weiss, S., Achtelik, S. M., Lynen, S., Achtelik, M., Kneip, L., Chli, M. and Siegwart, R.Monocular vision for long-term micro aerial vehicle state estimation: A compendium,” J. Field Robot. 30: 803831. doi:10.1002/rob.21466, (2013).
11. Engel, J., Sturm, J. and Cremers, D., “Camera-Based Navigation of a Low-Cost Quadrocopter,” Proceedings of the IEEE International Conference on Intelligent Robot Systems (IROS), Vilamoura, Portugal (2012).
12. Engel, J., Sturm, J. and Cremers, D., “Scale-aware navigation of a low-cost quadrocopter with a monocular camera,” Robot. Auton. Syst. 62 (11), 16461656 (2014).
13. Nieuwenhuisen, M., Droeschel, D., Beul, M. and Behnke, S., “Obstacle Detection and Navigation Planning for Autonomous Micro Aerial Vehicles,” Proceedings of International Conference on Unmanned Aircraft Systems (ICUAS), Orlando, FL, USA (2014).
14. Beyeler, A., Zufferey, J. and Floreano, D., “3D Vision-Based Navigation for Indoor Microflyers,” Proceedings IEEE International Conference on Robotics and Automation (ICRA), Roma, Italy (2007).
15. Bills, C., Chen, J. and Saxena, A., “Autonomous MAV Flight in Indoor Environments Using Single Image Perspective Cues,” Proceedings of the IEEE International Conference on Robotics and Automation (ICRA), Shanghai, China (2011).
16. Mori, T. and Scherer, S., “First Results in Detecting and Avoiding Frontal Obstacles From a Monocular Camera for Micro Aerial Vehicles,” Proceedings of the IEEE International Conference on Robotics and Automation (ICRA), Karlsruhe, Germany (2013).
17. Alvarez, H., Paz, L. M., Sturm, J. and Cremers, D., “Collision Avoidance for Quadrotors With a Monocular Camera,” Proceedings of The 12th International Symposium on Experimental Robotics (ISER), Marrakech and Essaouira, Morocco (2014).
18. Naldi, R., Furci, M., Sanfelice, R. G. and Marconi, L., “Robust global trajectory tracking for underactuated VTOL aerial vehicles using inner-outer loop control paradigms,” IEEE Trans. Autom. Control 62 (1), 97112 (2017).
19. Liu, H., Zhao, W. and Zuo, Z., “Robust control for quadrotors with multiple time-varying uncertainties and delays,” IEEE Trans. Ind. Electron. 64 (2), 13031312 (2017).
20. Aguilar-Ibaez, C., “Stabilization of the PVTOL aircraft based on a sliding mode and a saturation function,” Int. J. Robust Nonlinear Control 27, 843859 (2017).
21. Yeh, F., “Attitude controller design of mini-unmanned aerial vehicles using fuzzy sliding-mode control degraded by white noise interference,” IET Control Theory Appl. 6 (9), 12051212 (2012).
22. Alwi, H. and Edwards, C., “Sliding mode fault-tolerant control of an octorotor using linear parameter varying-based schemes,” IET Control Theory Appl. 9 (4), 618636 (2015).
23. Derafa, L., Fridman, L., Benallegue, A. and Ouldali, , “Super Twisting Control Algorithm for the Four Rotors Helicopter Attitude Tracking Problem,” Proceedings of the 11th International Workshop on Variable Structure Systems, Mexico City, Mexico (2010).
24. Xu, R. and Özgüner, Ü., “Sliding Mode Control of a Quadrotor Helicopter,” Proceedings of the 45th IEEE Conference on Decision & Control, San Diego, CA, USA (2006).
25. Mercado, D., Castillo, P., Castro, R. and Lozano, R., “2-Sliding Mode Trajectory Tracking Control and EKF Estimation for Quadrotors,” Proceedings of the 19th IFAC World Conference, Cape Town, South Africa (2014).
26. Castillo, P., Lozano, R. and Dzul, A., Modelling and Control of Mini-Flying Machines (Springer-Verlag, Londres, 2005).
27. Bertrand, S., Gunard, N., Hamel, T., Piet-Lahanier, H. and Eck, L., “A hierachical controller for miniature VTOL UAVs: Desing and stability analysis using singular perturbation theory,” Control Eng. Practice 19, 10991108 (2011).
28. Shtessel, Y., Edwards, C., Fridman, L. and Levant, A., Sliding Mode Control and Observation (Birkhäuser Basel, Springer New York, 2010).
29. Shevitz, D. and Paden, B.. “Lyapunov stability theory of nonsmooth systems,” IEEE Trans. Automat. Control 39, 19101914 (1994).
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  • ISSN: 0263-5747
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