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Numerical Simulations of a Rolling Ball Robot Actuated by Internal Point Masses

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 نشر من قبل Stuart Rogers
 تاريخ النشر 2019
  مجال البحث
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The controlled motion of a rolling ball actuated by internal point masses that move along arbitrarily-shaped rails fixed within the ball is considered. The controlled equations of motion are solved numerically using a predictor-corrector continuation method, starting from an initial solution obtained via a direct method, to realize trajectory tracking and obstacle avoidance maneuvers.



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The controlled motion of a rolling ball actuated by internal point masses that move along arbitrarily-shaped rails fixed within the ball is considered. Application of the variational Pontryagins minimum principle yields the balls controlled equations of motion, a solution of which obeys the balls uncontrolled equations of motion, satisfies prescribed initial and final conditions, and minimizes a prescribed performance index.
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