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Three-dimensional tracking control of autonomous underwater vehicles with limited torque and without velocity sensors

Published online by Cambridge University Press:  16 November 2017

Khoshnam Shojaei
Khoshnam Shojaei*
Affiliation:
Department of Electrical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran
*
*Corresponding author. E-mail: [email protected]
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Summary

Most of the previous works on the motion control of autonomous underwater vehicles (AUVs) assume that (i) the vehicle actuators are able to tolerate every level of the control signals, and (ii) the vehicle is equipped with the velocity sensors in all degrees of freedom. These assumptions are not desirable in practice. Toward this end, this paper addresses the trajectory tracking control of the underactuated AUVs with the limited torque, without the velocity measurements and under environmental disturbances in a three-dimensional space. At first, a variable transformation is introduced which helps us to derive a second-order dynamic model for underactuated AUVs. Then, a saturated tracking controller is proposed by employing the saturation functions to bound the closed-loop error variables. This technique reduces the risk of the actuators saturation by decreasing the amplitude of the generated control signals. In addition, a nonlinear saturated observer is introduced to remove the velocity sensors from the control system. The proposed controller copes with the uncertain vehicle parameters, and constant or time-varying environmental disturbances induced by the waves and ocean currents. Lyapunov's direct method is used to show the semi-global uniform ultimate boundedness of the tracking and state estimation errors. Finally, some simulation results illustrate the effectiveness of the proposed controller.

Keywords

Actuator saturationAutonomous underwater vehiclesAdaptive controlOutput feedbackTrajectory tracking
Type
Articles
Information
Robotica , Volume 36 , Issue 3 , March 2018 , pp. 374 - 394
Copyright
Copyright © Cambridge University Press 2017 

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References

1. Yuh, J., “Design and control of autonomous underwater robots: A survey,” Autonoumous Robot. 8, 7–24 (2000).Google Scholar
2. Nakamura, Y. and Savant, S., “Nonlinear Tracking Control of Autonomous Underwater Vehicle,” Proceedings of 1992 IEEE International Conference on Robotics and Automation, Nice, France (1992) pp. A4–A9.Google Scholar
3. Egeland, O., Dalsmo, M. and Sordalen, O. J., “Feedback control of a nonholonomic underwater vehicle with constant desired configuration,” Int. J. Robot. Res. 15 (1), pp. 24–35 (1996).Google Scholar
4. Leonard, N. E., “Control synthesis and adaptation for an underactuated autonomous underwater vehicle,” IEEE J. Ocean. Eng. 20 (3), 211–220 (1995).Google Scholar
5. Pettersen, K. Y. and Egeland, O., “Time-varying exponential stabilization of the position and attitude of an underactuated autonomous underwater vehicle,” IEEE Trans. Autom. Control 44 (1), 112–115 (1999).Google Scholar
6. Zain, Z. Md., Watanabe, K., Izumi, K. and Nagai, I., “A discontinuous exponential stabilization law for an underactuated X4-AUV,” J. Artif. Life Robot. 17, 463–469 (2013).Google Scholar
7. Woolsey, C. A. and Techy, L., “Cross-track control of a slender, underactuated AUV using potential shaping,” J. Ocean. Eng. 36, 82–91 (2009).Google Scholar
8. Batista, P., Silvestre, C. and Oliviera, P., “A sensor-based controller for homing of underactuated AUVs,” IEEE Trans. Robot. 25 (3), 701–716 (2009).Google Scholar
9. Xinjing, H., Yibo, L., Fei, D. and Shijiu, J., “Horizontal path following for underactuated AUV based on dynamic circle guidance,” Robotica 35, 876–891 (2015).Google Scholar
10. Do, K. D., Pan, J. and Jiang, Z. P., “Robust and adaptive path following for underactuated autonomous underwater vehicles,” Ocean Eng. 31 (16), 1967–1997 (2006).Google Scholar
11. Aguiar, A. P. and Pascoal, A. M., “Dynamic positioning and way-point tracking of underactuated AUVs in the presence of ocean currents,” Int. J. Control. 80 (7), 1092–1108 (2007).Google Scholar
12. Repoulias, F. and Papadopoulos, E., “Planar trajectory planning and tracking control design for underactuated AUVs,” Ocean Eng. 34, 1650–1667 (2007).Google Scholar
13. Bi, F. Y., Wei, Y. J., Zhang, J. Z. and Cao, W., “Position-tracking control of underactuated autonomous underwater vehicles in the presence of unknown ocean currents,” IET Control Theory and Appl. 4 (11), 2369–2380 (2009).Google Scholar
14. Do, K. D., Jiang, Z. P., Pan, J. and Nijmeijer, H., “A global output-feedback controller for stabilization and tracking of underactuated ODIN: A spherical underwater vehicle,” Automatica 40, 117–124 (2004).Google Scholar
15. Refsnes, J. E., Sorensen, A. J. and Pettersen, K. Y., “Model-based output feedback control of slender-body underactuated AUVs: theory and experiments,” IEEE Trans. Control Syst. Technol. 16 (5), 930–946 (2008).Google Scholar
16. Subudhi, B., Mukherjee, K. and Ghosh, S., “A static output feedback control design for path following of autonomous underwater vehicle in vertical plane,” Ocean Eng. 63, 72–76 (2013).Google Scholar
17. Qi, X. and Cai, Z., Three-dimensional formation control based on filter backstepping method for multiple underactuated underwater vehicles. Robotica 1–22 (2016). doi:10.1017/S0263574716000436.Google Scholar
18. Wehbe, B., Bazzi, S. and Shammas, E., “Novel three-dimensional optimal path planning method for vehicles with constrained pitch and yaw,” Robotica 1–20 (2016). doi:10.1017/S026357471600076X.Google Scholar
19. Shojaei, K. and Arefi, M. M., “On the neuro-adaptive feedback linearizing control of underactuated autonomous underwater vehicles in three-dimensional space,” IET Control Theory Appl. 9 (8), 1264–1273 (2015).Google Scholar
20. Bechlioulis, C. P., Karras, G. C., Heshmati-Alamdari, S. and Kyriakopoulos, K. J., “Trajectory tracking with prescribed performance for underactuated underwater vehicles under model uncertainties and external disturbances,” IEEE Trans. Control Syst. Technol. 25 (2), 429–440 (2017).Google Scholar
21. Do, K. D. and Pan, J., Control of Ships and Underwater Vehicles: Design for Underactuated and Nonlinear Marine Systems (Springer, London, 2009).Google Scholar
22. Fossen, T. I., Marine Control Systems (Marine Cybernetics, Trondheim, Norway, 2002).Google Scholar
23. SNAME, the society of naval architects and marine engineers, “Nomenclature for treating the motion of a submerged body through a fluid,” Tech. Res. Bull. 1–5 (1950).Google Scholar
24. Shojaei, K. and Dolatshahi, M., “Line-of-sight target tracking control of underactuated autonomous underwater vehicles,” Ocean Eng. 133, 244–252 (2017).Google Scholar
25. Li, J. H., Lee, P. M., Jun, B. H. and Lim, Y. K., “Point-to-point navigation of underactuated ships,” Automatica 44 (12), 3201–3205 (2008).Google Scholar
26. Lewis, F. L., Dawson, D. M. and Abdallah, C. T., Robot Manipulator Control Theory and Practice, 2nd ed. (Marcel Dekker Inc., New York, 2004).Google Scholar
27. Aguinaga-Ruiz, E., Zavala-Rio, A., Santibanez, V. and Reyes, F., “Global trajectory tracking through static feedback for robot manipulators with bounded inputs,” IEEE Trans. Control Syst. Technol. 17 (4), 934–944 (2009).Google Scholar
28. Polycarpou, M. M., “Stable adaptive neural control scheme for nonlinear systems,” IEEE Trans. Autom. Control 41, 447–451 (1996).Google Scholar
29. Berghuis, H. and Nijmeijer, H., “A passivity approach to controller-observer design for robots,” IEEE Trans. Robot. Autom. 9 (6), 740–754 (1993).Google Scholar
30. Arteaga, M. A. and Kelly, R., “Robot control without velocity measurements: New theory and experimental results,” IEEE Trans. Robot. Autom. 20 (2), 297–308 (2004).Google Scholar