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Optimal Route Planning for Sailing Boats: A Hybrid Formulation

Author

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  • Roberto Ferretti

    (Università Roma Tre)

  • Adriano Festa

    (Università dell’Aquila)

Abstract

We present an optimal hybrid control approach to the problem of stochastic route planning for sailing boats, especially in short course fleet races, in which minimum average time is an effective performance index. We show that the hybrid setting is a natural way of taking into account tacking/gybing maneuvers and other discrete control actions, and provide a practical example of a hybrid model for this problem. Moreover, we carry out a numerical validation of the approach and show that results are in good agreement with theoretical and practical knowledge.

Suggested Citation

  • Roberto Ferretti & Adriano Festa, 2019. "Optimal Route Planning for Sailing Boats: A Hybrid Formulation," Journal of Optimization Theory and Applications, Springer, vol. 181(3), pages 1015-1032, June.
    • Handle: RePEc:spr:joptap:v:181:y:2019:i:3:d:10.1007_s10957-019-01506-x
    DOI: 10.1007/s10957-019-01506-x
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    References listed on IDEAS

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    1. Roberto Ferretti & Hasnaa Zidani, 2015. "Monotone Numerical Schemes and Feedback Construction for Hybrid Control Systems," Journal of Optimization Theory and Applications, Springer, vol. 165(2), pages 507-531, May.
    2. Festa, Adriano, 2018. "Domain decomposition based parallel Howard’s algorithm," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 147(C), pages 121-139.
    3. Robert C Dalang & Frédéric Dumas & Sylvain Sardy & Stephan Morgenthaler & Juan Vila, 2015. "Stochastic optimization of sailing trajectories in an upwind regatta," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 66(5), pages 807-821, May.
    4. Zárate-Miñano, Rafael & Anghel, Marian & Milano, Federico, 2013. "Continuous wind speed models based on stochastic differential equations," Applied Energy, Elsevier, vol. 104(C), pages 42-49.
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    Cited by:

    1. Cacace, S. & Ferretti, R. & Festa, A., 2020. "Stochastic hybrid differential games and match race problems," Applied Mathematics and Computation, Elsevier, vol. 372(C).

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