Versatile Distributed Maneuvering with Generalized Formations using Guiding Vector Fields
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arXiv
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909605913690112 |
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| author | Lu, Yang Luo, Sha Zhu, Pengming Yao, Weijia de Marina, Hector Garcia Zhang, Xinglong Xu, Xin |
| author_facet | Lu, Yang Luo, Sha Zhu, Pengming Yao, Weijia de Marina, Hector Garcia Zhang, Xinglong Xu, Xin |
| contents | This paper presents a unified approach to realize versatile distributed maneuvering with generalized formations. Specifically, we decompose the robots' maneuvers into two independent components, i.e., interception and enclosing, which are parameterized by two independent virtual coordinates. Treating these two virtual coordinates as dimensions of an abstract manifold, we derive the corresponding singularity-free guiding vector field (GVF), which, along with a distributed coordination mechanism based on the consensus theory, guides robots to achieve various motions (i.e., versatile maneuvering), including (a) formation tracking, (b) target enclosing, and (c) circumnavigation. Additional motion parameters can generate more complex cooperative robot motions. Based on GVFs, we design a controller for a nonholonomic robot model. Besides the theoretical results, extensive simulations and experiments are performed to validate the effectiveness of the approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_05840 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Versatile Distributed Maneuvering with Generalized Formations using Guiding Vector Fields Lu, Yang Luo, Sha Zhu, Pengming Yao, Weijia de Marina, Hector Garcia Zhang, Xinglong Xu, Xin Robotics Systems and Control This paper presents a unified approach to realize versatile distributed maneuvering with generalized formations. Specifically, we decompose the robots' maneuvers into two independent components, i.e., interception and enclosing, which are parameterized by two independent virtual coordinates. Treating these two virtual coordinates as dimensions of an abstract manifold, we derive the corresponding singularity-free guiding vector field (GVF), which, along with a distributed coordination mechanism based on the consensus theory, guides robots to achieve various motions (i.e., versatile maneuvering), including (a) formation tracking, (b) target enclosing, and (c) circumnavigation. Additional motion parameters can generate more complex cooperative robot motions. Based on GVFs, we design a controller for a nonholonomic robot model. Besides the theoretical results, extensive simulations and experiments are performed to validate the effectiveness of the approach. |
| title | Versatile Distributed Maneuvering with Generalized Formations using Guiding Vector Fields |
| topic | Robotics Systems and Control |
| url | https://arxiv.org/abs/2505.05840 |