Abstract:Sailing yachts have great potential to act as future long-term oceanic observing platforms, yet to date there have not been complete autonomous sailing systems robust enough to handle long term operation in the harsh and continually changing ocean environment. The basis of control system design is a mathematical model capable of describing and capturing the physics based dynamics of the sailboat. The mathematical model represents the system to be controlled, however, a sailing yacht is a very difficult system … Show more
“…From 3b, we can note that, when wind speed is low, the relation between δ s and Θ V can be approximated by a linear function (as in [13]). In case of high wind speed, the curve begin to be saturated.…”
Section: Numerical Analysismentioning
confidence: 99%
“…Sailors can also use VPP programs to correct their sailing configurations (VPP are commercial products that give the theoretical maximum velocity of a sailboat for each wind condition [12]). Sailors' skills and experience have been adapted to the case of autonomous sailboats using either a linear relationship between the sail's angle of attack and the sail angle (including or not saturation and hysteresis [3], [13]) or by using fuzzy logic controller [14] [15]. None of these methods is focused on the computation of a sail angle to maximize the longitudinal speed (surge) of a sailboat.…”
A method to compute the optimal sail angle for an autonomous sailboat is proposed, which allows for maximizing the longitudinal velocity while maintaining safe sailing conditions by limiting the roll angle. A simplified 4-DOF dynamic model of the sailboat is used to obtain the roll dynamics and longitudinal sail force. From these expressions, we derive a cost function which depends on the thrust force. The cost needs to be minimized under stability constraint in roll motion while the system is subject to a bound on the roll angle. Numerical simulations, using a full nonlinear dynamic model of the sailboat, show the improved performance of the proposed method, compared to traditional solutions that can be found in the literature.
“…From 3b, we can note that, when wind speed is low, the relation between δ s and Θ V can be approximated by a linear function (as in [13]). In case of high wind speed, the curve begin to be saturated.…”
Section: Numerical Analysismentioning
confidence: 99%
“…Sailors can also use VPP programs to correct their sailing configurations (VPP are commercial products that give the theoretical maximum velocity of a sailboat for each wind condition [12]). Sailors' skills and experience have been adapted to the case of autonomous sailboats using either a linear relationship between the sail's angle of attack and the sail angle (including or not saturation and hysteresis [3], [13]) or by using fuzzy logic controller [14] [15]. None of these methods is focused on the computation of a sail angle to maximize the longitudinal speed (surge) of a sailboat.…”
A method to compute the optimal sail angle for an autonomous sailboat is proposed, which allows for maximizing the longitudinal velocity while maintaining safe sailing conditions by limiting the roll angle. A simplified 4-DOF dynamic model of the sailboat is used to obtain the roll dynamics and longitudinal sail force. From these expressions, we derive a cost function which depends on the thrust force. The cost needs to be minimized under stability constraint in roll motion while the system is subject to a bound on the roll angle. Numerical simulations, using a full nonlinear dynamic model of the sailboat, show the improved performance of the proposed method, compared to traditional solutions that can be found in the literature.
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