Vector Fields for Robot Navigation Along Time-Varying Curves in n-Dimensions

被引:140
作者
Goncalves, Vinicius M. [1 ]
Pimenta, Luciano C. A. [1 ]
Maia, Carlos A. [1 ]
Dutra, Bruno C. O. [1 ]
Pereira, Guilherme A. S. [1 ]
机构
[1] Univ Fed Minas Gerais, Escola Engn, BR-31270901 Belo Horizonte, MG, Brazil
关键词
Limit cycles; mobile robots; motion control; time-varying systems; MANIPULATORS; MOTION;
D O I
10.1109/TRO.2010.2053077
中图分类号
TP24 [机器人技术];
学科分类号
080202 ; 1405 ;
摘要
This paper presents a methodology for computation of artificial vector fields that allows a robot to converge to and circulate around generic curves specified in n-dimensional spaces. These vector fields may be directly applied to solve several robot-navigation problems such as border monitoring, surveillance, target tracking, and multirobot pattern generation, with special application to fixed-wing aerial robots, which must keep a positive forward velocity and cannot converge to a single point. Unlike previous solutions found in the literature, the approach is based on fully continuous vector fields and is generalized to time-varying curves defined in n-dimensional spaces. We provide mathematical proofs and present simulation and experimental results that illustrate the applicability of the proposed approach. We also present a methodology for construction of the target curve based on a given set of its samples.
引用
收藏
页码:647 / 659
页数:13
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