scholarly journals Event-Triggered Bipartite Consensus of Single-Integrator Multi-Agent Systems with Measurement Noise

2018 ◽  
Vol 2018 ◽  
pp. 1-9
Author(s):  
Cui-Qin Ma ◽  
Yun-Bo Zhao ◽  
Wei-Guo Sun
Keyword(s):  
Sufficient Conditions ◽  
Measurement Noise ◽  
Mean Square ◽  
Multi Agent Systems ◽  
Negative Effects ◽  
Consensus Protocol ◽  
Agent Systems ◽  
Multi Agent ◽  
Bipartite Consensus ◽  
Event Triggered

Event-triggered bipartite consensus of single-integrator multi-agent systems is investigated in the presence of measurement noise. A time-varying gain function is proposed in the event-triggered bipartite consensus protocol to reduce the negative effects of the noise corrupted information processed by the agents. Using the state transition matrix, Ito^ formula, and the algebraic graph theory, necessary and sufficient conditions are given for the proposed protocol to yield mean square bipartite consensus. We find that the weakest communication requirement to ensure the mean square bipartite consensus under event-triggered protocol is that the signed digraph is structurally balanced and contains a spanning tree. Numerical examples validated the theoretical findings where the system shows no Zeno behavior.

scholarly journals Fully Distributed Consensus of Fractional Chaotic Multi-agent Systems Based on Combined Event-triggered Mechanism

2021 ◽  
Author(s):  
Qiaoping Li ◽  
Chao Yue
Keyword(s):  
Sufficient Conditions ◽  
Absolute Error ◽  
Control Technique ◽  
Multi Agent Systems ◽  
Consensus Protocol ◽  
Agent Systems ◽  
Leader Following ◽  
Multi Agent ◽  
Event Times ◽  
Event Triggered

By designing a novel combined event-triggered control technique, this article analytically studies the distributed leader-following consensus problem of nonlinear fractional chaotic multi-agent systems. First, a novel combined event-triggered mechanism which takes into account both the relative error and the absolute error of the samples is proposed, under which each follower agent executes control update independently at its own event times. Next, a fully distributed event-triggered consensus protocol is designed and the sufficient conditions of consensus are attained. Finally, compared with other event-triggered mechanisms, the simulation experiments illustrate that the event-based consensus protocol proposed in this article can effectively reduce the frequency of actuator data update while ensuring desired consensus performance.

Mean Square Consensus Control for Second Order Multi-Agent Systems under Fixed Topologies and Measurement Noises

2011 ◽  
Vol 403-408 ◽  
pp. 4036-4043 ◽  
Author(s):  
Xue Liang Liu ◽  
Bu Gong Xu ◽  
Li Hua Xie
Keyword(s):  
Matrix Theory ◽  
Sufficient Conditions ◽  
Second Order ◽  
Mean Square ◽  
Multi Agent Systems ◽  
Consensus Protocol ◽  
Agent Systems ◽  
Multi Agent ◽  
Measurement Noises ◽  
Mean Square Consensus

This paper considers the mean square consensus problems for second order multi-agent systems with fixed topologies and measurement noises. Two cases were analyzed: 1) undirected networks with fixed topologies; 2) undirected networks with fixed topologies and measurement noises. In order to attenuate the measurement noises, a time-varying consensus gain was introduced in the consensus protocol. Sufficient conditions were derived for all agents to reach consensus in mean square via algebraic graph theory, matrix theory and stochastic analysis approach, by constructing an appropriate Lyapunov function. A numerical example was given to verify our theoretical analysis.

scholarly journals Event-Triggered Cluster Consensus of Leader-Following Linear Multi-Agent Systems

2018 ◽  
Vol 8 (4) ◽  
pp. 293-302 ◽  
Author(s):  
Bin Xu ◽  
Wangli He
Keyword(s):  
Sufficient Conditions ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Event Time ◽  
Control Scheme ◽  
Directed Spanning Tree ◽  
Leader Following ◽  
Multi Agent ◽  
Cluster Consensus ◽  
Event Triggered

Abstract This paper is concerned with cluster consensus of linear multi-agent systems via a distributed event-triggered control scheme. Assume that agents can be split into several clusters and a leader is associated with each cluster. Sufficient conditions are derived to guarantee the realization of cluster consensus by a feasible event-triggered controller if the network topology of each cluster has a directed spanning tree and the couplings within each cluster are sufficiently strong. Further, positive inner-event time intervals are ensured for the proposed event-triggered strategy to avoid Zeno behaviors. Finally, a numerical example is given to illustrate the effectiveness of the theoretical results.

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