| Numerical Values and List of Symbols |
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axmax = aymax = 9.81 m/s2
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longitudinal and lateral maximal accelerations |
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g = 9.81 m/s2
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constant of gravity |
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h = 1 m |
height of the centre of mass from the road surface |
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kv = ½ Af CD ρ = 0.15 kg/m |
air drag force coefficient |
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m = 85 kg |
cyclist’s body mass + bicycle mass |
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n0 = 0 m |
initial lateral displacement |
| s0 = L0 = 0 m |
initial longitudinal position |
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= 50 W/s |
maximal rate of power output |
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wD = π rad |
wind direction |
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Af = 0.35 m2
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frontal area |
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CD = 0.7 |
drag coefficient |
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Crr = 0.004 |
rolling friction coefficient |
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IX = 77 kgm2
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inertia of the system along the longitudinal direction |
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L = 1.4 m |
wheelbase |
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Lf = XX m |
course length (depending on the course) |
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Vw = 0 m/s |
wind speed |
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Wn0 = 0 |
initial normalised power output |
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Wmax = 1200 W |
maximal power output |
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a0 = 0 rad |
initial heading |
| Δwn = 1 |
weight of the lateral displacement in the objective function |
| Δwv = 1 |
weight of the error with the reference velocity in the objective function |
| Δww = 10 |
weight of the rate of change in the power output in the objective function |
| Δwδ = 10 |
weight of the rate of change in the steering angle in the objective function |
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δmax = 0.52 rad |
maximal steering angle |
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= 0.52 rad/s |
maximal steering velocity |
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δn0 = 0 |
initial normalised steering angle |
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φ0 = 0 rad |
initial rolling angle |
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= 0 rad/s |
initial roll rotational velocity |
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ρ = 1.23 kg/m3
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air density |