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Paradigms of A.I. Robotics

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Magnitude Pr<strong>of</strong>ile<br />

Question: How should the robot model the force it feels from an object in its<br />

environment as a function <strong>of</strong> distance<br />

Answer: The robot can choose from a variety <strong>of</strong> magnitude pr<strong>of</strong>iles for forces being<br />

exerted by obstacles and goals.<br />

Definition.<br />

The way the magnitude <strong>of</strong> vectors change in the potential field (around an obstacle or a goal) is<br />

called the magnitude pr<strong>of</strong>ile.<br />

Three basic types <strong>of</strong> magnitude pr<strong>of</strong>iles:<br />

Constant - the force exerted by an object is <strong>of</strong> constant magnitude with in a fixed<br />

radius and is zero elsewhere.<br />

Linear - the magnitude <strong>of</strong> force is inversely and linearly proportional to the distance<br />

to the object.<br />

Exponential - the magnitude <strong>of</strong> force is inversely and exponentially proportional to<br />

the distance to the object.<br />

<strong>Paradigms</strong> <strong>of</strong> A.I. <strong>Robotics</strong> – p.31/

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