Fixed-time bipartite consensus of nonlinear multi-agent systems using event-triggered control design

2021 ◽  
Author(s):  
Arman Sharifi ◽  
Mahdi Pourgholi
Keyword(s):  
Control Design ◽  
Fixed Time ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Multi Agent ◽  
Bipartite Consensus ◽  
Event Triggered

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.

Practical Fixed-Time Event-Triggered Time-Varying Formation Tracking Control for Disturbed Multi-Agent Systems with Continuous Communication Free

2020 ◽  
Vol 09 (01) ◽  
pp. 23-34
Author(s):  
Xiaofeng Chai ◽  
Jian Liu ◽  
Yao Yu ◽  
Jianxiang Xi ◽  
Changyin Sun
Keyword(s):  
Control Strategies ◽  
Fixed Time ◽  
Settling Time ◽  
Time Varying ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Formation Tracking ◽  
Control Schemes ◽  
Multi Agent ◽  
Event Triggered

In this paper, we study the practical fixed-time event-triggered time-varying formation tracking problem of leader-follower multi-agent systems with multi-dimensional dynamics. Fixed-time event-triggered control schemes with continuous communication and intermittent communication are developed, respectively. Continuous communication and measurement are avoided, and computation cost is reduced greatly in the latter scheme. And the settling time is to be specified regardless of initial states of agents. Meanwhile, tracking errors are adjustable as desired with expected settling time. It is demonstrated that time-varying formation tracking can be achieved under the two proposed control schemes and Zeno behavior can be excluded. Finally, numerical examples are provided to illustrate the effectiveness of the proposed control strategies.

scholarly journals Event-triggered bipartite consensus of multi-agent systems in signed networks

2022 ◽  
Vol 7 (4) ◽  
pp. 5499-5526
Author(s):  
Hongjie Li ◽  
Keyword(s):  
Sampling Period ◽  
Cooperative Interaction ◽  
Multi Agent Systems ◽  
Transmission Scheme ◽  
Signed Networks ◽  
Lur’E System ◽  
Agent Systems ◽  
Multi Agent ◽  
Bipartite Consensus ◽  
Event Triggered

<abstract><p>This paper focuses on the event-triggered bipartite consensus of multi-agent systems in signed networks, where the dynamics of each agent is assumed to be Lur'e system, and both the cooperative interaction and antagonistic interaction are allowed among neighbor agents. A novel event-triggered communication scheme is presented to save limited network resources, and distributed bipartite control techniques are raised to address the bipartite leaderless consensus and bipartite leader-following consensus respectively. By virtue of the Lyapunov stability theory and algebraic graph theory, bipartite consensus conditions are derived, which can be easily solved by MATLAB. In addition, the upper bounds of the sampling period and triggered parameter can be estimated. Finally, two examples are employed to show the validity and advantage of the proposed transmission scheme.</p></abstract>

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