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arXiv 1412.7824eess.SYcs.MAcs.ROcs.SY
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多时间尺度下非完整轮式移动机器人多组形成行为

Multi Time Scale Behaviour of The Formation of Multiple Groups of Nonholonomic Wheeled Mobile Robots

Soumic Sarkar, Indra Narayan Kar

AI总结:

本文提出基于质心的变换方法,将非完整轮式移动机器人的联合动力学分解为三个子系统,分别设计控制器以实现多组形变和质心动态的多时间尺度收敛,同时通过势函数梯度确保避障。

摘要:

不同几何模式和形状通过群体代理生成,需要形成控制。本文应用基于质心的变换(CBT),将非完整轮式移动机器人(WMRs)的联合动力学分解为三个子系统:组内和组间形状动力学以及质心动力学。组内形状动力学可进一步分为每个组的形状动力学,从而形成多组概念。因此,为每个子系统设计了独立控制器。控制器的增益被选择使得整体系统成为奇异扰动系统,不同子系统在不同时间收敛到其期望值。本文进行了多时间尺度收敛分析。基于势函数梯度的负值被添加到控制器中,以确保机器人之间的避障。提供了仿真结果以证明所提控制器的有效性。

英文摘要:

Different geometric patterns and shapes are generated using groups of agents, and this needs formation control. In this paper, Centroid Based Transformation (CBT), has been applied to decompose the combined dynamics of nonholonomic Wheeled Mobile Robots (WMRs) into three subsystems: intra and inter group shape dynamics, and the dynamics of the centroid. The intra group shape dynamics can further be partitioned into the shape dynamics of each group, giving the notion of multiple group. Thus separate controllers have been designed for each subsystem. The gains of the controllers are such chosen that the overall system becomes singularly perturbed system, and different subsystems converge to their desired values at different times. Then multi-time scale convergence analysis has been carried out in this paper. Negative gradient of a potential based function has been added to the controller to ensure collision avoidance among the robots. Simulation results have been provided to demonstrate the effectiveness of the proposed controller.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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