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Journal of Vibration Testing and System Dynamics

C. Steve Suh (editor), Pawel Olejnik (editor),

Xianguo Tuo (editor)

Pawel Olejnik (editor)

Lodz University of Technology, Poland


C. Steve Suh (editor)

Texas A&M University, USA


Xiangguo Tuo (editor)

Sichuan University of Science and Engineering, China


Steering Control of an Underwater Vehicle using Adaptive Back Stepping Approach

Journal of Vibration Testing and System Dynamics 1(3) (2017) 247--265 | DOI:10.5890/JVTSD.2017.09.005

Abdul Baseer Satti$^{1}$, Faisal Nadeem$^{2}$

$^{1}$ Griffith school of Engineering, Griffith University, Australia

$^{2}$ Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, P. R. China

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This paper presents a simple and systematic approach to steer an underwater vehicle model by considering two different cases: (i) when all actuators are functional, and (ii) when one actuator is not working. In first case, the model of an underwater vehicle is steered by using adaptive Backstepping technique. The first actuator is necessary for the operation of the system so any of the other three actuators can be non-operational. So, the second case itself contains three different cases. Adaptive Backstepping is then used to steer the system with one non-working actuator. The synthesis method is general, in that it applies to a large class of drift free, completely controllable systems, for which the associated controllability Lie algebra is locally nilpotent.


  1. [1]  Egeland, O., Dalsmo, M., and Sordalen, O.J. (1996), Feedback Control of a Nonholonomic Underwater Vehicle with a Constant Desired Configuration, International Journal of Robotics Research, 15(1), 24-35.
  2. [2]  Leonard, N.E. and Krishnaprasad, P.S. (1994), Motion control of autonomous underwater vehicles with an adaptive feature, Symposium on Autonomous Underwater Vehicles Technology, IEEE Oceanic Engineering Society, 283-288.
  3. [3]  Nakamura Y. and Savant S. (1992), Nonlinear Tracking Control of Autonomous Underwater Vehicles, Proceedings of the IEEE International Conference on Robotics and Automation, A4-A9.
  4. [4]  Yoerger, D.R. and Slotine, J.E. (1985) Robust trajectory control of underwater vehicles, IEEE Journal of Oceanic Engineering, 10(4), 462-470.
  5. [5]  Brockett, R.W. (1983), asymptotic stability and feedback stabilization, Differential geometric control theory, (27), 1181-191.
  6. [6]  Coron, J.M. (1992), Global asymptotic stabilization for controllable systems without drift, Mathematics of Control, Signals, and Systems, 5(3), 295-312.
  7. [7]  Pomet, J.B. (1992), Explicit design of time-varying control laws for a class of controllable systems without drift, Systems & Controls Letters, 18(2), 147-158.
  8. [8]  Samson, C. and Ait-Abderrahim, K. (1991), Feedback stabilization of Nonholonomic wheeled mobile robot, Proceedings of the International Conference on Intelligent Robots and Systems, 1242-1247.
  9. [9]  Wei, J. and Norman, E, (1964), on global representations of the solutions of linear differential equations as a product of exponentials, Proceedings of the American Mathematical Society, 15(2), 327-334.
  10. [10]  Rehman, F.U. (1997), Set Point Feedback Stabilization of Drift Free Systems, Ph.D. Thesis, McGill University Canada.
  11. [11]  Lafferriere, G. and Sussmann, H.J. (1993), A differential geometric approach to motion planning, Nonholonomic Motion Planning, Z. Li, and J. F. Canny Eds., Kluwer Academic Publishers, 235-270.
  12. [12]  Murray, R.M. and Sastry, S.S. (1993), Nonholonomic motion planning, IEEE Transaction Automatic Control, 38(5), 700-716.
  13. [13]  Sussmann, H.J. and Liu, W. (1993), Lie bracket extensions and averaging: the single-bracket case, Nonholonomic Motion Planning, Z. Li, and J. F. Canny Eds., Kluwer Academic Publishers, 109-147.