Non-singular Cooperative Guiding Vector Field Under a Homotopy Equivalence Transformation

Zirui Chen; Zongyu Zuo

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arXiv · 2308.06934

Non-singular Cooperative Guiding Vector Field Under a Homotopy Equivalence Transformation

Zirui Chen·Zongyu Zuo

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Abstract

The present article advances the concept of a non-singular cooperative guiding vector field under a homotopy equivalence transformation. Firstly, the derivation of a guiding vector field, based on a non-singular vector field, is elaborated to navigate a transformed path from another frame. The existence of such vector fields is also deliberated herein. Subsequently, a coordination vector field derived from the guiding vector field is presented, incorporating an in-depth analysis concerning the impact of the vector field parameters. Lastly, the practical implementation of this novel vector field is demonstrated by its applications to 2-D and 3-D cooperative moving path following issues, establishing its efficacy.

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Zirui Chen, Zongyu Zuo. 2023-08-14. Non-singular Cooperative Guiding Vector Field Under a Homotopy Equivalence Transformation. https://arxiv.org/abs/2308.06934

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