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Fractional potential field in path planning for mobile robot obstacle ...

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FRACTIONAL POTENTIAL FIELD IN PATH PLANNING FOR MOBILE<br />

AVOIDANCE OF DYNAMIC OBS<br />

Normalized fractional <strong>potential</strong><br />

1<br />

0.9<br />

0.8<br />

0.7<br />

0.6<br />

0.5<br />

0.4<br />

0.3<br />

0.2<br />

0.1<br />

n=2: segment<br />

n=1: ponctual charge<br />

0<br />

0 5 10 15 20 25 30<br />

r =1 r<br />

m<strong>in</strong> Distance<br />

=30<br />

max<br />

1: Influence • n = 1 gives distance the Coulombian of the normalized <strong>potential</strong> <strong>field</strong>fractional generated by <strong>potential</strong> an isolated based charge. on We<br />

n (1 •≤ n n= ≤2 gives 5 ); the coulombian Coulombian <strong>potential</strong> <strong>field</strong> created generated by by a uni<strong>for</strong>mly punctualdistributed charge (n=1<br />

mly distributed charge along charge a straight-l<strong>in</strong>e on a segment segment. (n=2)<br />

5 - 15<br />

n=4<br />

n=3

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