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Journal ArticleDOI

High Precision Formation Control of Mobile Robots Using Virtual Structures

M. Anthony Lewis, +1 more
- 01 Oct 1997 - 
- Vol. 4, Iss: 4, pp 387-403
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TLDR
Results are presented that demonstrate that this approach to general control strategy is capable of achieving high precision movement that is fault tolerant and exhibits graceful degradation of performance.
Abstract
A key problem in cooperative robotics is the maintenance of a geometric configuration during movement. To address this problem, the concept of a Virtual Structure is introduced. Using this idea, a general control strategy is developed to force an ensemble of robots to behave as if they were particles embedded in a rigid structure. The method was instantiated and tested using both simulation and experimentation with a set of 3 differential drive mobile robots. Results are presented that demonstrate that this approach is capable of achieving high precision movement that is fault tolerant and exhibits graceful degradation of performance. In addition, this algorithm does not require leader selection as in other cooperative robotic strategies. Finally, the method is inherently highly flexible in the kinds of geometric formations that can be maintained.

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Citations
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Journal ArticleDOI

A survey of multi-agent formation control

TL;DR: A survey of formation control of multi-agent systems focuses on the sensing capability and the interaction topology of agents, and categorizes the existing results into position-, displacement-, and distance-based control.
Journal ArticleDOI

A coordination architecture for spacecraft formation control

TL;DR: A coordination architecture that subsumes leader-following, behavioral, and virtual-structure approaches to the multiagent coordination problem is introduced and illustrated through a detailed application of the ideas to the problem of synthesizing a multiple spacecraft interferometer in deep space.
Journal ArticleDOI

A decentralized approach to formation maneuvers

TL;DR: Hardware results demonstrate the effectiveness of the proposed formation control strategies, which injects interrobot damping via passivity techniques and accounts for actuator saturation.
Journal ArticleDOI

Brief paper: Finite-time formation control for multi-agent systems

TL;DR: This paper proposes a class of nonlinear consensus protocols, which ensures that the related states of all agents will reach an agreement in a finite time under suitable conditions, and applies these protocols to the formation control, including time-invariant formation, time-varying formation and trajectory tracking.
Journal ArticleDOI

Consensus strategies for cooperative control of vehicle formations

TL;DR: In this article, a consensus-based formation control strategy is proposed to guarantee accurate formation maintenance in the general case of arbitrary (directed) information flow between vehicles as long as certain mild conditions are satisfied.
References
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Book

Numerical Recipes in C: The Art of Scientific Computing

TL;DR: Numerical Recipes: The Art of Scientific Computing as discussed by the authors is a complete text and reference book on scientific computing with over 100 new routines (now well over 300 in all), plus upgraded versions of many of the original routines, with many new topics presented at the same accessible level.
Book

Mathematical Methods of Classical Mechanics

TL;DR: In this paper, Newtonian mechanics: experimental facts investigation of the equations of motion, variational principles Lagrangian mechanics on manifolds oscillations rigid bodies, differential forms symplectic manifolds canonical formalism introduction to pertubation theory.

Numerical Recipes in FORTRAN - The Art of Scientific Computing - Second Edition

TL;DR: This paper presents a list of recommended recipes for making CDRom decks and some examples of how these recipes can be modified to suit theommelier's needs.
Journal ArticleDOI

Cooperative mobile robotics: antecedents and directions

TL;DR: A critical survey of existing works in cooperative robotics is given and open problems in this field are discussed, emphasizing the various theoretical issues that arise in the study of cooperative robotics.
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