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Observer-based Event-triggered Bipartite Consensus of Linear Multi-agent Systems

Jianpeng Zang, Xia Chen*, and Fei Hao
International Journal of Control, Automation, and Systems, vol. 19, no. 3, pp.1291-1301, 2021

Abstract : The event-triggered bipartite consensus problem of linear multi-agent systems with a connected structurally balanced signed graph is considered in this paper. The state observer is set to estimate the actual states of the system. In the system structure, two event-triggered mechanisms are configured for each agent. The one is placed in the output side of the agent and the other in the controller. Thus the establishment of the state observer is based on the discrete output information sampled at the corresponding triggering time instants. And the inter-neighboring transmission of the observed states occurs at the moments when the corresponding triggering condition of the agent is satisfied. The triggering conditions designed do not rely on continuous inter-neighboring communications. With the help of the algebraic graph theory and Lyapunov stability theory, it is proved that the bipartite consensus can be achieved. Furthermore, Zeno behavior can be avoided in both sides. The effectiveness of the presented control strategy is demonstrated by a numerical simulation.

Keyword : Bipartite consensus, event-triggered mechanism, multi-agent systems, state observer

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