How to control Chaplygin’s sphere using rotors

How to control Chaplygin’s sphere using rotors
复制标题

如何使用转子控制查普雷金球体

DOI:
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发表时间:
2012
期刊:
Regulârnaâ i haoticeskaâ dinamika
影响因子:
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通讯作者:
I. Mamaev
I. Mamaev
中科院分区:
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文献类型:
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作者:
A. Borisov;A. Kilin;I. Mamaev

文献摘要

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本文研究了带转子的平衡非对称球体的控制问题。假定接触点处为无滑移条件。证明了该系统的代数能控性,并求出了控制球沿着给定轨迹运动的控制输入,对一些简单轨迹给出了显式跟踪算法。
In the paper we study the control of a balanced dynamically non-symmetric sphere with rotors. The no-slip condition at the point of contact is assumed. The algebraic controllability is shown and the control inputs that steer the ball along a given trajectory on the plane are found. For some simple trajectories explicit tracking algorithms are proposed.