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Parameter identification
I run car 1 on circles with constant steer input and I manually measured the diameter of the circle it went through. Results are reported in the table below. All measures are reported in millimiters (with the exception of the input of course). Measured diameters for right and left turns is separated. The error in the table is the difference between the radius (not the diameter) predicted by the model and the real radius. The steer factor was computed in order to minimize the average error which lead to the value c = 0.2116466582.

input

diameter right (mm)

diameter left (mm)

error right (mm)

error left (mm)

100

1360

1380

4.02

-5.98

90

1450

1420

39.18

54.18

80

1710

1680

8.90

23.90

70

1940

1880

21.56

51.56

60

2400

2290

-38.88

16.12

50

2980

2960

-92.27

-82.27

The steer factor was computed in order to minimize the average error which lead to the value c = 0.2116466582.

Model validation
The model has been validated with cars 2 and 3. Data is reported in the table below.

CAR 2

input

diameter right (mm)

diameter left (mm)

error right (mm)

error left (mm)

100

1340

1370

14.02

-0.98

90

1340

1370

94.18

79.18

80

1520

1600

103.90

63.90

50

2440

2730

177.73

32.73

CAR 3

input

diameter right (mm)

diameter left (mm)

error right (mm)

error left (mm)

100

1670

1560

-150.98

-95.98

90

1670

1560

-70.82

-15.82

80

1830

1720

-51.10

3.90

50

2730

3030

32.73

-117.27

EFFECT OF PWM AND STEER INPUT ON THE SPEED DYNAMICS

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