The use of backstepping method to ship course controller

• Autorzy: Witkowska A. , Smierzchalski R.
• Języki publikacji: EN

Abstrakty

EN

The article systematises and perform approaches the new concept of the ship autopilot in which control rules are derived for nonlinear controllers designed with the aid of the backstepping method and used for controlling the ship’s motion on its course. The objectives, approaches and problems were described. The design is very interesting has goals to create closed-loop systems with desirable stability properties in the regulation and tracking problems with a uniform asymptotic stability, rather than analyze the properties of a given system. The symulation were performed on the tanker model and were comparised in the system with PD controller.

Słowa kluczowe

EN

manoeuvering; backstepping method; autopilot; tracking problem; ship's motion; ship course controller; marine navigation; control system

• Wydawca: Faculty of Navigation, Gdynia Maritime University
• Czasopismo: TransNav : International Journal on Marine Navigation and Safety of Sea Transportation
• Rocznik: 2007
• Tom: Vol. 1, no. 3
• Strony: 313--318
• Opis fizyczny: Bibliogr. 22 poz., wykr.

Twórcy

autor

Witkowska A.

• University of Technology, Gdansk, Poland

autor

Smierzchalski R.

• Gdynia Maritime University, Gdynia, Poland

Bibliografia

• 1. (Amerongen 1982) Amerongen J. (1982). Adaptive steering of ship. A model reference approach to improved manoeuvering and economical course keeping, PhD Thesis, Delft University of Technology, Netherlands.
• 2. (Astrom 1989) Astrom K.J, Wittenmark B., (1989). Adaptive Control, Addison Wesley, Reading MA.
• 3. (Do 2004) Do K.D., Jiang Z.P., Pan J. (2004). Robust adaptive path following of underactuated ships. Automatica, 40(6), 929-944.
• 4. (Ezal 2000) Ezal K., Pan Z., Kokotović P. (2000). Locally Optimal and Robust Backstepping Design IEEE Transactions on Automatic Control 45(2), 260-271.
• 5. (Fang 2004) Fang Y., Zergeroglu E., Queiroz M.S., Dawson D.M. (2004) Global output feedback control of dynamically positioned surface vessels: an adaptive control approach, Mechatronics 14(4), 341–356
• 6. (Fleming 2002) Fleming P.J., Purshouse R.C. (2002). Evolutionary algorithms in control systems engineering: a survey, Control Engineering Practice 10(11), 12231241.
• 7. (Fossen 1998) Fossen T.I., Strand J.P. (1998). Nonlinear Ship Control (Tutorial Paper), In Proceedings of the IFAC Conference on Control Application in Marine Systems CAMS’98. Fukuoka, Japan. pp. 175. <http://www.itk.ntnu.no/ansatte/Fossen_Thor/book/tutorial98.pdf>
• 8. (Fossen 1999) Fossen, T. I. and J. P. Strand (1999). A Tutorial on Nonlinear Backstepping: Applications to Ship Control, Modelling, Identification and Control, MIC-20(2), 83-135.
• 9. (Fossen 2002) Fossen T.I. (2002). Marine Control Systems.Guidance, Navigation, and Control of Ships, Rigs and Underwater Vehicles. Marine Cybernetics, Trondheim, Norway.
• 10. (Harkegard 2003) Härkegard 0. (2003). Backstepping and Control Allocation with Applications to Flight Control. PhD thesis, Department of Electrical Engineering, Linköping University, SE-581 83 Linköping, Sweden.
• 11. (He 1998) He S., Reif K., Unbehauen R. (1998). A neural approach for control of nonlinear systems with feedback linearization, IEEE Trans. Neural Networks, 9(6), 1409 1421.
• 12. (Jiang 2002) Jiang Z.-P. (2002). Global tracking control of underactuated ships by Lyapunov direct method, Automatica, 38(2), 301 309.
• 13. (Kokotovic 2001) Kokotović P., Arcak M. (2001). Constructive nonlinear control: a historical perspective, Automatica 37(5), 637 662.
• 14. (Krstic 1995) Krstić M., Kanellakopulos I., Kokotović P.V. (1995). Nonlinear and Adaptive Control Design, John Willey&Sons Ltd., New York.
• 15. (Krstic 1998) Krstić M., Deng H. (1998) Stabilization of Nonlinear Uncertain Systems. Springer Verlag, Berlin.
• 16. (Krstic 1999) Krstić M., Tsiotras P., (1999) Inverse Optimal Stabilization of a Rigid Spacecraft, IEEE Transactions on Automatic Control, 44(5), 1042-1049.(Kuljaca 2001) Kuljaca O., Swamy N., Lewis F.L, Kwan C.M. (2001). Design and Implementation of Industrial Neural Network Controller Using Backstepping, Proceedings of the 40th IEEE Conference on Decision and Control, Orlando, Florida USA, pp. 2709-2714.
• 17. (Kwan 2000) Kwan C.M., Lewis F.L. (2000). Robust Backstepping Control of Nonlinear Systems Using Neural Networks, IEEE Trans. On Systems, Man and Cybernetics, Part A: Systems and Humans, 30(6), 753-766.
• 18. (La Salle 1966) La Salle J. and Lefschetz S. (1961). Stability by Liapunov's direct method with applications. Academic Press, New York.
• 19. (Pettersen 2004) Pettersen K.Y., Nijmeijer H. (2004). Global practical stabilization and tracking for an underactuated ship – a combined averaging and backstepping approach, Modelling, Identification and Control, 20(4), 189–199.
• 20. (Sepulchre 1997) Sepulchre R., Jankovic M., Kokotović P.V. (1997). Constructive Nonlinear Control, Springer Verlag, Berlin.
• 21. (Skjetne 2005) Skjetne R., Fossen T.I., Kokotović P.V. (2005). Adaptive maneuvering, with experiments, for a model ship in a marine control laboratory, Automatica 41(2), 289 –298.
• 22. (Witkowska 2007) Witkowska A., Tomera M., Śmierzchalski R.: A Backstepping Approach to Ship Course Control. The International Journal of Applied Mathematics and Computer Science, AMCS 2007, vol. 17, no 1, pp. 73-85.