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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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Consensus of multi-agent systems with general linear dynamics via dynamic output feedback control

TL;DR: In this paper, the authors address consensus problems of multi-agent systems (MASs) using dynamic output feedback control under both fixed and switching topologies and provide several constructive procedures for protocol design to achieve consensus, and establish the so-called separation principle, which simplifies the design procedure greatly.
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Distributed Output Regulation of Nonlinear Multi-Agent Systems via Host Internal Model

TL;DR: Focusing on a basic nonlinear scenario of identical (or homogeneous) agents of a normal form, it is shown that the problem is solvable as long as its interaction digraph contains a certain directed spanning tree.
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Zero Forcing, Linear and Quantum Controllability for Systems Evolving on Networks

TL;DR: In this paper, the authors study the dynamics of systems on networks from a linear algebraic perspective, and show that controllability in the quantum sense, expressed by the Lie algebra rank condition, and control in the sense of linear systems, expressing by the control matrix rank condition are equivalent conditions.
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Decentralized control of a group of mobile robots for deployment in sweep coverage

TL;DR: This paper addresses a problem of sweep coverage by deploying a network of autonomous mobile robots by proposing a decentralized control algorithm for the robots to accomplish the sweep coverage.
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Trajectory Tracking by Multiple Agents in Formation With Collision Avoidance and Connectivity Assurance

TL;DR: The proposed control scheme is further extended to the problem of trajectory tracking while achieving other control objectives and both the schemes have been shown to be convergent using Barbalat's Lemma.
References
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Coordination of groups of mobile autonomous agents using nearest neighbor rules

TL;DR: A theoretical explanation for the observed behavior of the Vicsek model, which proves to be a graphic example of a switched linear system which is stable, but for which there does not exist a common quadratic Lyapunov function.
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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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