Proceedings of the 41st IEEE Conference on Decision and Control, 2002.
DOI: 10.1109/cdc.2002.1184477
|View full text |Cite
|
Sign up to set email alerts
|

Vehicle networks for gradient descent in a sampled environment

Abstract: Fish in a school efficiently find the densest source of food by individually responding not only to local environmental stimuli but also to the behavior of nearest neighbors.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

3
149
0

Publication Types

Select...
5
3
2

Relationship

0
10

Authors

Journals

citations
Cited by 186 publications
(152 citation statements)
references
References 7 publications
3
149
0
Order By: Relevance
“…Artificial potential methods were also used by Bachmayer and Leonard in [63] to design cooperative gradient climbing strategies for a group of vehicles that could each only take a scalar measurement at a time of the field of interest (e.g., ocean temperature). Capitalizing on this idea and building on the methods of [55,56],Ögren et al [4] developed a provable methodology to control the shape of the formation as well as the rotation, translation and expansion of the formation (see also [64]); this was used to design control strategies for a network of vehicles to adaptively climb gradients in the sampled field and thus robustly find peaks (see Section 3.1 below for a review of the implementation of this methodology in the field).…”
Section: Background and Historymentioning
confidence: 99%
“…Artificial potential methods were also used by Bachmayer and Leonard in [63] to design cooperative gradient climbing strategies for a group of vehicles that could each only take a scalar measurement at a time of the field of interest (e.g., ocean temperature). Capitalizing on this idea and building on the methods of [55,56],Ögren et al [4] developed a provable methodology to control the shape of the formation as well as the rotation, translation and expansion of the formation (see also [64]); this was used to design control strategies for a network of vehicles to adaptively climb gradients in the sampled field and thus robustly find peaks (see Section 3.1 below for a review of the implementation of this methodology in the field).…”
Section: Background and Historymentioning
confidence: 99%
“…As an illustration, we follow the approach proposed in [BL02] to stabilize formations of (non-oriented) particles: the desired formation is specified by the critical points of a scalar potential…”
Section: Stabilization Of Parallel Formationsmentioning
confidence: 99%
“…In robotics, these interactions can be considered as a special case of the potential field approach [3], in which robots are attracted by the goal and repelled by obstacles and other robots. In swarms, attractive forces are generally modeled through the gradient descent of specific functions [4], [5]. Unfortunately, as in regular potential field approaches, the presence of obstacles and local repulsion forces among the robots may cause convergence problems in general gradient descent approaches, mainly when robots are required to synthesize shapes.…”
Section: Introductionmentioning
confidence: 99%