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Fig 1.

Geometric dimensions of the paddle boat: (a) rear view; (b)side view.

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Fig 1 Expand

Fig 2.

Schematic diagram of inertial coordinate system and hull coordinate system.

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Fig 3.

Hardware control system.

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Table 1.

Hardware model selection.

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Table 1 Expand

Fig 4.

Control strategy of the trajectory tracking.

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Fig 5.

Control operation flow.

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Fig 6.

LOS guidance principle.

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Fig 7.

Fuzzy adaptive PID control process.

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Table 2.

Fuzzy rules for ΔKp, ΔKi, and ΔKd.

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Table 2 Expand

Fig 8.

Test operating platform.

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Fig 9.

Comparison of trajectory tracking at different velocities on the same route:(a) A straight line reference trajectory; (b) Actual trajectory at a speed of 0.5m/s; (c) Actual trajectory at a speed of 1m/s; (d) Actual trajectory at a speed of 1.5m/s; (e) Comparison between the reference trajectory and the actual tracks.

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Fig 10.

Left turn of the experimental boat: (a) Actual trajectory when testing turning radius; (b) Extracted left-turn trajectory.

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Fig 11.

Trajectory of a triangle with an approximate 60° turning angle: (a) Reference trajectory; (b) Actual trajectory; (c) Comparison of the reference trajectory and the actual trajectory.

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Fig 11 Expand

Fig 12.

Trajectory of a square with an approximate 90° turning angle: (a) Reference trajectory; (b) Actual trajectory; (c) Comparison of the reference trajectory and the actual trajectory.

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Fig 13.

Trajectory of a pentagon with an approximate 120° turning angle: (a) Reference trajectory; (b) Actual trajectory; (c) Comparison of the reference trajectory and the actual trajectory.

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Table 3.

Comparison of trajectory tracking under different literatures.

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Table 3 Expand