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Fig 1.

A 2 DoF WPC rigid body moving in a three-dimensional space.

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Fig 1 Expand

Table 1.

The partial hydrodynamic parameters.

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Table 1 Expand

Fig 2.

Disturbing forces and moments.

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Fig 3.

An anti-vertical motion system with actuators.

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Fig 4.

Steps of GA based LQR.

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Fig 5.

The optimum GA results.

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Table 2.

GA parameters settings.

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Table 2 Expand

Table 3.

The results of LQR-GA.

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Table 3 Expand

Fig 6.

Effects of WPC ride control with LQR-GA approach on heave and pitch.

(a) Heave. (b) Pitch.

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Fig 7.

A WPC with a T-foil and two flaps.

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Table 4.

Nominal physical parameters of WPC.

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Table 4 Expand

Fig 8.

SIMULINK diagrams of the controlled WPC.

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Fig 9.

An interactive screen of GA SIMULINK diagram.

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Fig 10.

Comparison of effects at 40 knots.

(a) Heave. (b) Pitch.

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Fig 10 Expand

Fig 11.

Comparison of effects at SSN4.

(a) Heave. (b) Pitch.

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Fig 11 Expand

Fig 12.

Comparison of vertical motion in five conditions.

(a) Heave reduction. (b) Pitch reduction.

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Table 5.

The weighting parameters and the desired gain in different SSN and speeds.

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Table 5 Expand

Fig 13.

VI structure for WPC.

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Fig 14.

A 2 DoF WPC motion control system program.

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Fig 15.

Front panel configuration of vertical control of WPC.

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Fig 16.

Connection diagram of overall system.

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Fig 17.

Embedded controller test plat.

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Fig 18.

Model validation of the LQR-GA controller.

(a) Comparison of experimental data and simulated results at 30 knots & SSN4. (b) Comparison of experimental data and simulated results at 40 knots & SSN4. (c) Comparison of experimental data and simulated results at 40 knots & SSN5. (d) Comparison of experimental data and simulated results at 40 knots & SSN6. (e) Comparison of experimental data and simulated results at 50 knots & SSN4.

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Fig 18 Expand