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

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The <strong>mobile</strong> <strong>robot</strong>s are treated as virtual particles with unit mass and obey the<br />

second-order dynamical equation:<br />

where the control <strong>in</strong>put Fi is given by<br />

¨pi = Fi<br />

Fi = fi − kv ˙pi + Frep<br />

with fi the <strong>for</strong>ce <strong>in</strong>put to control the motion of the <strong>robot</strong> by CVT. fi is given by a<br />

proportional control law:<br />

fi = −k(pi − ¯pi)<br />

where ¯pi is the computed mass centroid of the current Voronoi cell.<br />

13 - 15<br />

(5)

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