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Distributed Consensus in Multi-vehicle Cooperative Control

Wei Ren, +1 more
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TLDR
In this article, the authors present a survey of the use of consensus algorithms in multi-vehicle cooperative control, including single-and double-integrator dynamical systems, rigid-body attitude dynamics, rendezvous and axial alignment, formation control, deep-space formation flying, fire monitoring and surveillance.
Abstract
The coordinated use of autonomous vehicles has an abundance of potential applications from the domestic to the hazardously toxic. Frequently the communications necessary for the productive interplay of such vehicles may be subject to limitations in range, bandwidth, noise and other causes of unreliability. Information consensus guarantees that vehicles sharing information over a network topology have a consistent view of information critical to the coordination task. Assuming only neighbor-neighbor interaction between vehicles, Distributed Consensus in Multi-vehicle Cooperative Control develops distributed consensus strategies designed to ensure that the information states of all vehicles in a network converge to a common value. This approach strengthens the team, minimizing power consumption and the deleterious effects of range and other restrictions. The monograph is divided into six parts covering introductory, theoretical and experimental material and featuring: an overview of the use of consensus algorithms in cooperative control; consensus algorithms in single- and double-integrator dynamical systems; consensus algorithms for rigid-body attitude dynamics; rendezvous and axial alignment, formation control, deep-space formation flying, fire monitoring and surveillance. Notation drawn from graph and matrix theory and background material on linear and nonlinear system theory are enumerated in six appendices. The authors maintain a website at which can be found a sample simulation and experimental video material associated with experiments in several chapters of this book. Academic control systems researchers and their counterparts in government laboratories and robotics- and aerospace-related industries will find the ideas presented in Distributed Consensus in Multi-vehicle Cooperative Control of great interest. This text will also serve as a valuable support and reference for graduate courses in robotics, and linear and nonlinear control systems.

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Citations
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Journal ArticleDOI

Practical Synchronization in Networks of Nonlinear Heterogeneous Agents With Application to Power Systems

TL;DR: It is shown that the agents achieve practical synchronization and the synchronization error can be made arbitrarily small by tuning the high-gain observer parameter.
Journal Article

Adaptive Neuro-Fuzzy Formation Control for Leader-Follower Mobile Robots

TL;DR: From simulation and experimental results, the proposed adaptive neural fuzzy protocol can provide better formation responses compared to conventional consensus algorithms.
Journal ArticleDOI

Robust consensus of autonomous underactuated surface vessels

TL;DR: A state-based switching controller is proposed which guarantees the robust consensus of AUSVs, based on the properties of non-linear cascade systems.
Proceedings ArticleDOI

Fast convergence of quantized consensus using Metropolis chains

TL;DR: It is shown that when the edges of the network are activated based on a Poisson processes with Metropolis rates, the expected convergence time to the consensus set is at most O(n2 log n), which is better than all available results for randomized quantized consensus.
Journal ArticleDOI

Quad-Rotor robust time-varying formation control: a Continuous Sliding-Mode Control approach

TL;DR: This paper deals with the robust tracking problem for a group of Quad-Rotors forming a time-varying geometric pattern, i.e. formation control, in the presence of external disturbances, and proposes a robust control strategy based on a Continuous Sliding-Mode Control approach.
References
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Coordination of groups of mobile autonomous agents using nearest neighbor rules

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Novel Type of Phase Transition in a System of Self-Driven Particles

TL;DR: Numerical evidence is presented that this model results in a kinetic phase transition from no transport to finite net transport through spontaneous symmetry breaking of the rotational symmetry.
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Information flow and cooperative control of vehicle formations

TL;DR: A Nyquist criterion is proved that uses the eigenvalues of the graph Laplacian matrix to determine the effect of the communication topology on formation stability, and a method for decentralized information exchange between vehicles is proposed.
Journal ArticleDOI

Multi-vehicle consensus with a time-varying reference state

TL;DR: This paper first analyzes a consensus algorithm with a constant reference state using graph theoretical tools, then proposes consensus algorithms with a time-varying reference state and shows necessary and sufficient conditions under which consensus is reached on the time-Varyingreference state.
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.
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