On the ship course-keeping control system design by using robust feedback linearization

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In the paper the problem of ship autopilot design based on feedback linearization method combined with the robust control approach, is considered. At first the nonlinear ship model (of Norrbin type) is linearized with the use of the simple system nonlinearity cancellation. Next, bearing in mind that exact values of the model parameters are not known, the ensuing inaccuracies are taken as disturbances acting on the system. Thereby is obtained a linear system with an extra term representing the uncertainty which can be treated by using robust, H∞ optimal control techniques. The performed simulations of ship course-changing process confirmed a high performance of the proposed controller despite the assumed significant errors of its parameters.

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  • 1. Abu-Khalaf M. Huang J. Lewis F. L.: Nonlinear ConstrainedFeedback Control. Advances in Industrial Control. Springer London 2006.

  • 2. van Amerongen J.: Adaptive steering of ships. A model-referenceapproach to improved manoeuvring and economical coursekeeping. Ph.D. Thesis Delft University of Technology 1982.

  • 3. Burl J. B.: Linear optimal control. Addison-Wesley Menlo Park CA 1999.

  • 4. Basar T. Bernhard P.: H∞ - optimal control and related minimaxdesign problems. A dynamic game approach. Birkhauser Berlin 1991.

  • 5. Basar T. Olsder G.J.: Dynamic noncooperative gametheory. SIAM Series in Classics in Applied Mathematics Philadelphia 1999.

  • 6. Control System Toolbox User’s Guide. For Use with MATLAB. The MathWorks Inc. 1998.

  • 7. Fossen T. I.: Guidance and control of ocean vehicles. John Wiley Chichester USA 1994.

  • 8. Isaacs R.: Differential games. John Wiley New York 1965.

  • 9. Isidori A.: Nonlinear Control Systems. An introduction Springer -Verlag Berlin 1989.

  • 10. Khalil H.K.: Nonlinear Systems. Prentice Hall Upper Saddle River NJ 2002.

  • 11. Lewis F. W. Jagannathan S. and A. Yesildirak: NeuralNetwork Control of Robot Manipulators and Non-LinearSystems. Taylor & Francis 1998.

  • 12. Lisowski J.: Ship as an object of automatic control. Wyd. Morskie Gdańsk 1981 (in Polish).

  • 13. Marquez H. J.: Nonlinear control systems. Analysis and design. John Wiley NJ 2003.

  • 14. Morawski L. Pomirski J.: Design of the robust PID coursekeepingcontrol system for ships. Polish Maritime Research No. 1 2002.

  • 15. de Wit C. Oppe J.: Optimal collision avoidance in unconfinedwaters. Journal of the Institute of Navigation Vol. 3126 No.4 1979/80.

  • 16. Zwierzewicz Z.: On some geometric aspects of differentialgames (in Polish). Archives of Control Sciences No. 3-4 1985

  • 17. Zwierzewicz Z.: Ship course-keeping via nonlinear adaptivecontrol synthesis. Int. Journal of Factory Automation Robotics and Soft Computing 2007 no. 2 April 2007 pp.102-107.

  • 18. Zwierzewicz Z.: Methods and algorithms of ship automaticcontrol systems (in Polish). Scientific publishing of Szczecin Maritime University Szczecin 2012

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