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群制御arXiv:1609.02174

近接ネットワークでつながる非ホロノミック多ロボット系の分散サンプルデータ制御

Distributed sampled-data control of nonholonomic multi-robot systems with proximity networks

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距離に基づく近接ネットワークで接続された移動ロボット群に対し、近傍則とドウェル時間を用いた分散サンプルデータ制御則を設計し、リーダーなしでの同期条件とリーダー導入時の追従に必要な割合を定量的に示した。

著者: Zhixin Liu, Lin Wang, Jinhuan Wang, Daoyi Dong, Xiaoming Hu

分類: eess.SY, cs.MA, cs.RO, cs.SY

原文アブストラクト

This paper considers the distributed sampled-data control problem of a group of mobile robots connected via distance-induced proximity networks. A dwell time is assumed in order to avoid chattering in the neighbor relations that may be caused by abrupt changes of positions when updating information from neighbors. Distributed sampled-data control laws are designed based on nearest neighbour rules, which in conjunction with continuous-time dynamics results in hybrid closed-loop systems. For uniformly and independently initial states, a sufficient condition is provided to guarantee synchronization for the system without leaders. In order to steer all robots to move with the desired orientation and speed, we then introduce a number of leaders into the system, and quantitatively establish the proportion of leaders needed to track either constant or time-varying signals. All these conditions depend only on the neighborhood radius, the maximum initial moving speed and the dwell time, without assuming a prior properties of the neighbor graphs as are used in most of the existing literature.

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