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Formation and agreement problems for synchronous mobile robots with limited visibility

机译:可见度受限的同步移动机器人的编队和协议问题

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Discusses fundamental formation and agreement problems for autonomous, synchronous robots with limited visibility. Each robots is a mobile processor that, at each discrete time instant, observes the relative positions of those robots that are within distance V of itself, computes its new position using the given algorithm, and then moves to that position. The main difference between this work and many of the previous ones is that, here, the visibility of the robots is assumed to be limited to within distance V, for some constant V<0. The problems the authors discuss include the formation of a single point by the robots and agreement on a common x-y coordinate system and the initial distribution, and they present algorithms for these problems, except for the problem of agreement on direction (a subproblem of agreement on a coordinate system), which is not solvable even for robots with unlimited visibility. The discussions the authors present indicate that the correctness proofs of the algorithms for robots with limited visibility can be considerably more complex than those for robots with unlimited visibility.
机译:讨论可见性受限的自主,同步机器人的基本构成和协议问题。每个机器人都是一个移动处理器,它在每个离散时间观察其自身距离V以内的那些机器人的相对位置,使用给定的算法计算其新位置,然后移动到该位置。这项工作与许多以前的工作之间的主要区别在于,在此情况下,对于某些常数V <0,假定机器人的可见性限制在距离V之内。作者讨论的问题包括由机器人形成单个点以及在共同的xy坐标系和初始分布上达成一致,并且他们提出了针对这些问题的算法,除了方向一致的问题(关于一致的子问题)坐标系),即使对于视野无限的机器人也无法解决。作者的讨论表明,对于能见度有限的机器人,算法的正确性证明要比对能见度无限的机器人的算法更为复杂。

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