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Simplified derivation of control law providing for a vehicle’s motion on a nonlinear path

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Abstract

The paper discusses the problem of a vehicle’s motion control on a preset nonlinear path. The new proof of the velocity addition theorem presented in [4] allowed simplified derivation of control law. The procedures described can be considered the first step in the development of motion control algorithms by back-stepping.

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References

  1. Breivik, M. and Fossen, T.I., Path Following for Marine Surface Vessels. Proc. OTO’04, Kobe, Japan.

  2. Pelevin, A.E., Stabilization of a Vessel’s Motion on a Nonlinear Path, Giroskopiya Navigatsiya, 2002, no. 2, pp. 3–11.

  3. Lapierre, L., Soeteanto, D., and Pascoal, D.A., Nonlinear Path Following with Applications to the Control of Autonomous Underwater Vehicles, Proc. 42nd IEEE CDC, 2003, Maui, Hawaii, USA.

  4. Perez, T. and Fossen, T.I., Kinematics and Kinetics of Marine Vessels (Module 3). 2007. http://www.itk.ntnu.no/fag/gnc/wiley/ch2.pdf.

  5. Khalil, H.K., Nonlinear Systems, 3rd Ed., Upper Saddle River, New Jersey: Prentice Hall, 2002.

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  6. Miroshnik, I.V., Nikiforov, V.O., and Fradkov A.A., Nelineinoe i adaptivnoe upravlenie slozhnyni dinamicheskimi sistemami, (Nonlinear and Adaptive Control of Complex Dynamic Systems), St. Petersburg: Nauka, 2000.

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Published in Russian in Giroskopiya i Navigatsiya, 2011, No. 3, pp. 24–33.

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Dovgobrod, G.M., Klyachko, L.M. Simplified derivation of control law providing for a vehicle’s motion on a nonlinear path. Gyroscopy Navig. 3, 35–40 (2012). https://doi.org/10.1134/S2075108712010038

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  • DOI: https://doi.org/10.1134/S2075108712010038

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