Consensus of Multi-Agent Networks With Aperiodic Sampled Communication Via Impulsive Algorithms Using Position-Only Measurements
IEEE Transactions on Automatic ControlPublished 21 August 2012
Zhi‐Wei Liu, Zhi‐Hong Guan, Xuemin Shen, Gang Feng
Citations233
SJR quartileQ1
SJR score3.80
SNIP2.59
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
TL;DR
An impulsive consensus algorithm is proposed for second-order continuous-time multi-agent networks with switching topology by using the property of stochastic matrices and algebraic graph theory to ensure the consensus of the controlled multi- agent network if the communication graph has a spanning tree jointly.
Abstract
In this technical note, an impulsive consensus algorithm is proposed for second-order continuous-time multi-agent networks with switching topology. The communication among agents occurs at sampling instants based on position only measurements. By using the property of stochastic matrices and algebraic graph theory, some sufficient conditions are obtained to ensure the consensus of the controlled multi-agent network if the communication graph has a spanning tree jointly. A numerical example is given to illustrate the effectiveness of the proposed algorithm.
Keywords
Computer Science
IEEE Transactions on Automatic ControlConsensus Problems in Networks of Agents With Switching Topology and Time-Delays
12,721 Citations2004Reza Olfati‐Saber, Richard M. Murray
A distinctive feature of this work is to address consensus problems for networks with directed information flow by establishing a direct connection between the algebraic connectivity of the network and the performance of a linear consensus protocol.
IEEE Transactions on Automatic ControlCoordination of groups of mobile autonomous agents using nearest neighbor rules
8,330 Citations2003Ali Jadbabaie, Jie Lin +1 more
IEEE Transactions on Automatic ControlConsensus seeking in multiagent systems under dynamically changing interaction topologies
6,542 Citations2005Wei Ren, Randal W. Beard
It is shown that information consensus under dynamically changing interaction topologies can be achieved asymptotically if the union of the directed interaction graphs have a spanning tree frequently enough as the system evolves.
IEEE Transactions on Automatic ControlStability of multiagent systems with time-dependent communication links
2,710 Citations2005Luc Moreau
It is observed that more communication does not necessarily lead to faster convergence and may eventually even lead to a loss of convergence, even for the simple models discussed in the present paper.
AutomaticaTracking control for multi-agent consensus with an active leader and variable topology
2,034 Citations2006Yiguang Hong, Jiangping Hu +1 more
It is proved that, with the proposed control scheme, each agent can follow the leader if the (acceleration) input of the active leader is known, and the tracking error is estimated if the input ofThe leader is unknown.
Princeton University Press eBooksDistributed Control of Robotic Networks
1,465 Citations2009Francesco Bullo, Jorge Cortés +1 more
This self-contained introduction to the distributed control of robotic networks offers a broad set of tools for understanding coordination algorithms, determining their correctness, and assessing their complexity; and it analyzes various cooperative strategies for tasks such as consensus, rendezvous, connectivity maintenance, deployment, and boundary estimation.
IEEE Transactions on Automatic ControlOn Consensus Algorithms for Double-Integrator Dynamics
1,405 Citations2008Wei Ren
AutomaticaQuantized consensus
751 Citations2007Akshay Kashyap, Tamer Başar +1 more
This work describes simple randomized distributed algorithms which achieve consensus to the extent that the discrete nature of the problem permits.
IEEE Transactions on Automatic ControlAsynchronous Consensus in Continuous-Time Multi-Agent Systems With Switching Topology and Time-Varying Delays
742 Citations2008Feng Xiao, Long Wang
The main contribution of this paper is to provide a valid distributed consensus algorithm that overcomes the difficulties caused by unreliable communication channels, such as intermittent information transmission, switching communication topology, and time-varying communication delays, and therefore has its obvious practical applications.
AutomaticaConsensus of second-order discrete-time multi-agent systems with nonuniform time-delays and dynamically changing topologies
533 Citations2009Peng Lin, Yingmin Jia
It is shown that arbitrary bounded time-delays can safely be tolerated, even though the communication structures between agents dynamically change over time and the corresponding directed graphs may not have spanning trees.
AutomaticaSecond-order consensus in multi-agent dynamical systems with sampled position data
520 Citations2011Wenwu Yu, Wei Xing Zheng +3 more
It is found that second-order consensus in such a multi-agent system cannot be reached without any sampled position data under the given protocol while it can be achieved by appropriately choosing the sampling period.
IEEE Journal on Selected Areas in CommunicationsDistributed Kalman filtering based on consensus strategies
515 Citations2008Ruggero Carli, Alessandro Chiuso +2 more
It is proved that optimizing the consensus matrix for fastest convergence and using the centralized optimal gain is not necessarily the optimal strategy if the number of exchanged messages per sampling time is small.
SIAM Journal on Control and OptimizationState Agreement for Continuous‐Time Coupled Nonlinear Systems
511 Citations2007Zhiyun Lin, Bruce A. Francis +1 more
It is proved that asymptotic state agreement is achieved if and only if the dynamic interaction digraph has the property of being sufficiently connected over time.
Proceedings of the American Mathematical SocietyProducts of indecomposable, aperiodic, stochastic matrices
490 Citations1963J. Wolfowitz
IEEE Transactions on Circuits and Systems I Regular PapersSynchronization of Complex Dynamical Networks With Time-Varying Delays Via Impulsive Distributed Control
421 Citations2010Zhi‐Hong Guan, Zhi‐Wei Liu +2 more
Based on the concept of control topology, an impulsive controller is designed to achieve the exponential synchronization of CDNs, and moreover, the exponential convergence rate can be specified.
IEEE Transactions on Automatic ControlOn hybrid impulsive and switching systems and application to nonlinear control
416 Citations2005Zhi‐Hong Guan, David J. Hill +1 more
Using switched Lyapunov functions, some new general criteria for exponential stability and asymptotic stability with arbitrary and conditioned impulsive switching are established and a new hybrid impulsive and switching control strategy for nonlinear systems is developed.
SIAM Journal on Control and OptimizationCoordination and Consensus of Networked Agents with Noisy Measurements: Stochastic Algorithms and Asymptotic Behavior
401 Citations2009Minyi Huang, Jonathan H. Manton
This paper considers the coordination and consensus of networked agents where each agent has noisy measurements of its neighbors' states, and proposes stochastic approximation-type algorithms with a decreasing step size, and introduces the notions of mean square and strong consensus.
AutomaticaDistributed nonlinear control algorithms for network consensus
281 Citations2008Qing Hui, Wassim M. Haddad
A thermodynamic framework for addressing consensus problems for nonlinear multiagent dynamical systems with fixed and switching topologies is developed and distributed nonlinear static and dynamic controller architectures for multiagent coordination are presented.
IEEE Transactions on Automatic ControlConsensus of Data-Sampled Multi-Agent Systems With Random Communication Delay and Packet Loss
256 Citations2010Ya Zhang, Yu‐Ping Tian
An approach to designing consensus protocol is proposed and numerical examples are given to illustrate the results.
International Journal of Robust and Nonlinear ControlNecessary and sufficient conditions for solving consensus problems of double‐integrator dynamics via sampled control
187 Citations2009Huiyang Liu, Guangming Xie +1 more
The sampled control protocol is induced from continuous-time linear consensus protocol by using periodic sampling technology and zero-order hold circuit and is equivalently transformed into a linear discrete-time system.
International Journal of ControlSampled-data discrete-time coordination algorithms for double-integrator dynamics under dynamic directed interaction
157 Citations2009Yongcan Cao, Wei Ren
Two sampled-data-based discrete-time coordination algorithms for multi-vehicle systems with double-integrator dynamics under dynamic directed interaction are studied to guarantee coordination by using the property of infinity products of stochastic matrices.
IEEE Transactions on Automatic ControlOn impulsive control of a periodically forced chaotic pendulum system
85 Citations2000Zhi‐Hong Guan, Guanrong Chen +1 more
A new impulsive control method for chaos suppression of this periodically forced pendulum system is developed and some criteria for eventually, exponentially asymptotical stability are established.
International Journal of Robust and Nonlinear ControlConsensus of multiple double‐integrator agents with intermittent measurement
78 Citations2009Yanping Gao, Long Wang
It is proved that consensus can be reached if the delays are small enough, and an admissible upper bound of delays is derived.
IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics)Optimal Consensus Seeking in a Network of Multiagent Systems: An LMI Approach
78 Citations2009Elham Semsar-Kazerooni, K. Khorasani
An optimal control design strategy for guaranteeing consensus achievement in a network of multiagent systems is developed using a linearmatrix-inequality formulation of the problem to address the optimization problem and to simultaneously resolve the consensus achievement constraint.
Science in China Series F Information SciencesSampled-data based average consensus with measurement noises: convergence analysis and uncertainty principle
56 Citations2009Tao Li, Ji‐Feng Zhang
An uncertainty principle of Gaussian networks is obtained, which implies that in the case of white Gaussian noises, the product of the steady-state and transient performance indices is always equal to or larger than a constant depending on the noise intensity, network topology and the number of network nodes.
Consensus of multiple second-order agents without velocity measurements
28 Citations2009Yanping Gao, Long Wang +1 more
A feasible protocol is proposed, and by applying the linear matrix inequality technique and the common Lyapunov function approach, some sufficient conditions for consensus are established.